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 4291/648, 2345/205

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 4291/648, 2345/205 i.e 7/132840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4291/648, 2345/205.

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 4291/648,2345/205?

Given fractions are 4291/648,2345/205

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 4291/648,2345/205, numerators are 4291,2345

Denominators are 648,205

The GCF of 4291,2345 is 7 .

LCM of 648,205 is 132840.

The greatest common factor of 4291/648,2345/205 = [GCF of 4291,2345]/[LCM of 648,205]= 7/132840

Therefore, the GCF of 4291/648,2345/205 is 7/132840.

Greatest Common Factor of 4291,2345

To find the highest common factor of 4291,2345, we have to find the factors of both numbers and list the highest common factor.

The factors of 4291 are 1, 7, 613, 4291

The factors of 2345 are 1, 5, 7, 35, 67, 335, 469, 2345

The HCF of 4291,2345 is 7.

Lets's calculate GCF of 4291,2345

Greatest Common Factor (GCF) of 4291,2345 By Common Division

7 4291, 2345
613, 335

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4291,2345 By Matching Biggest Common Factor Method

Greatest Common Factor of 4291,2345 By Matching Biggest Common Factor Method

Now, list down the factors of 4291

:

1,7,613,4291

Now, list down the factors of 2345

:

1,5,7,35,67,335,469,2345

Greatest Common Factor

We found the factors 4291,2345 . The biggest common factor number is the GCF number.
So the greatest common factor 4291,2345 is 7.

Lets's calculate LCM of 648,205

Lowest Common Multiple of 648,205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 132840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/132840

Therefore, the GCF of Fractions 4291/648,2345/205 is 7/132840

Least Common Multiple of 648,205 with GCF Formula

Least Common Multiple of 648,205 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 648,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,205) = 1

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

GCF(648,205) x common factors =1 x 1 = 1

LCM(648,205) = ( 648 × 205 ) / 1

LCM(648,205) = 132840 / 1

LCM(648,205) = 132840


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4291/648, 2345/205

1. What is the HCF of 4291,2345?

The HCF of 4291,2345 is 7

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 4291/648, 2345/205?

Answer: GCF of Numerators as per given numbers 4291/648, 2345/205 is

GCF of Numerators i.e. for 4291,2345 is 7

LCM of denominators i.e. for 648,205 is 132840.

Thus, GCF of Fractions is 7/132840.Finally, GCF of Fractions for 4291/648, 2345/205 is 7/132840.