LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 7943/214, 6345/9639

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 7943/214, 6345/9639 i.e 47/2062746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7943/214, 6345/9639.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7943/214,6345/9639?

Given fractions are 7943/214,6345/9639

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7943/214,6345/9639, numerators are 7943,6345

Denominators are 214,9639

The GCF of 7943,6345 is 47 .

LCM of 214,9639 is 2062746.

The greatest common factor of 7943/214,6345/9639 = [GCF of 7943,6345]/[LCM of 214,9639]= 47/2062746

Therefore, the GCF of 7943/214,6345/9639 is 47/2062746.

Greatest Common Factor of 7943,6345

To find the highest common factor of 7943,6345, we have to find the factors of both numbers and list the highest common factor.

The factors of 7943 are 1, 13, 47, 169, 611, 7943

The factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345

The HCF of 7943,6345 is 47.

Lets's calculate GCF of 7943,6345

Greatest Common Factor (GCF) of 7943,6345 By Common Division

47 7943, 6345
169, 135

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 7943,6345 By Matching Biggest Common Factor Method

Greatest Common Factor of 7943,6345 By Matching Biggest Common Factor Method

Now, list down the factors of 7943

:

1,13,47,169,611,7943

Now, list down the factors of 6345

:

1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345

Greatest Common Factor

We found the factors 7943,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 7943,6345 is 47.


Lets's calculate LCM of 214,9639

Lowest Common Multiple of 214,9639 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2062746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/2062746

Therefore, the GCF of Fractions 7943/214,6345/9639 is 47/2062746

Least Common Multiple of 214,9639 with GCF Formula

Least Common Multiple of 214,9639 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 214,9639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,9639) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(214,9639) x common factors =1 x 1 = 1

LCM(214,9639) = ( 214 × 9639 ) / 1

LCM(214,9639) = 2062746 / 1

LCM(214,9639) = 2062746


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7943/214, 6345/9639

1. What is the HCF of 7943,6345?

The HCF of 7943,6345 is 47

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 7943/214, 6345/9639?

Answer: GCF of Numerators as per given numbers 7943/214, 6345/9639 is

GCF of Numerators i.e. for 7943,6345 is 47

LCM of denominators i.e. for 214,9639 is 2062746.

Thus, GCF of Fractions is 47/2062746.Finally, GCF of Fractions for 7943/214, 6345/9639 is 47/2062746.