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 694/947, 2140/906

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 694/947, 2140/906 i.e 2/857982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/947, 2140/906.

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 694/947,2140/906?

Given fractions are 694/947,2140/906

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 694/947,2140/906, numerators are 694,2140

Denominators are 947,906

The GCF of 694,2140 is 2 .

LCM of 947,906 is 857982.

The greatest common factor of 694/947,2140/906 = [GCF of 694,2140]/[LCM of 947,906]= 2/857982

Therefore, the GCF of 694/947,2140/906 is 2/857982.

Greatest Common Factor of 694,2140

To find the highest common factor of 694,2140, we have to find the factors of both numbers and list the highest common factor.

The factors of 694 are 1, 2, 347, 694

The factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140

The HCF of 694,2140 is 2.

Lets's calculate GCF of 694,2140

Greatest Common Factor (GCF) of 694,2140 By Common Division

2 694, 2140
347, 1070

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 694,2140 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,2140 By Matching Biggest Common Factor Method

Now, list down the factors of 694

:

1,2,347,694

Now, list down the factors of 2140

:

1,2,4,5,10,20,107,214,428,535,1070,2140

Greatest Common Factor

We found the factors 694,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 694,2140 is 2.

Lets's calculate LCM of 947,906

Lowest Common Multiple of 947,906 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 857982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/857982

Therefore, the GCF of Fractions 694/947,2140/906 is 2/857982

Least Common Multiple of 947,906 with GCF Formula

Least Common Multiple of 947,906 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 947,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,906) = 1

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

GCF(947,906) x common factors =1 x 1 = 1

LCM(947,906) = ( 947 × 906 ) / 1

LCM(947,906) = 857982 / 1

LCM(947,906) = 857982


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 694/947, 2140/906

1. What is the HCF of 694,2140?

The HCF of 694,2140 is 2

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 694/947, 2140/906?

Answer: GCF of Numerators as per given numbers 694/947, 2140/906 is

GCF of Numerators i.e. for 694,2140 is 2

LCM of denominators i.e. for 947,906 is 857982.

Thus, GCF of Fractions is 2/857982.Finally, GCF of Fractions for 694/947, 2140/906 is 2/857982.