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GCF of 5657/661, 7195/5095

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 5657/661, 7195/5095 i.e 1/3367795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5657/661, 7195/5095.

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 5657/661,7195/5095?

Given fractions are 5657/661,7195/5095

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 5657/661,7195/5095, numerators are 5657,7195

Denominators are 661,5095

The GCF of 5657,7195 is 1 .

LCM of 661,5095 is 3367795.

The greatest common factor of 5657/661,7195/5095 = [GCF of 5657,7195]/[LCM of 661,5095]= 1/3367795

Therefore, the GCF of 5657/661,7195/5095 is 1/3367795.

Greatest Common Factor of 5657,7195

To find the highest common factor of 5657,7195, we have to find the factors of both numbers and list the highest common factor.

The factors of 5657 are 1, 5657

The factors of 7195 are 1, 5, 1439, 7195

The HCF of 5657,7195 is 1.

Lets's calculate GCF of 5657,7195

Greatest Common Factor (GCF) of 5657,7195 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5657,7195 By Matching Biggest Common Factor Method

Greatest Common Factor of 5657,7195 By Matching Biggest Common Factor Method

Now, list down the factors of 5657

:

1,5657

Now, list down the factors of 7195

:

1,5,1439,7195

Greatest Common Factor

We found the factors 5657,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 5657,7195 is 1.

Lets's calculate LCM of 661,5095

Lowest Common Multiple of 661,5095 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3367795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3367795

Therefore, the GCF of Fractions 5657/661,7195/5095 is 1/3367795

Least Common Multiple of 661,5095 with GCF Formula

Least Common Multiple of 661,5095 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 661,5095 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,5095) = 1

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

GCF(661,5095) x common factors =1 x 1 = 1

LCM(661,5095) = ( 661 × 5095 ) / 1

LCM(661,5095) = 3367795 / 1

LCM(661,5095) = 3367795


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5657/661, 7195/5095

1. What is the HCF of 5657,7195?

The HCF of 5657,7195 is 1

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 5657/661, 7195/5095?

Answer: GCF of Numerators as per given numbers 5657/661, 7195/5095 is

GCF of Numerators i.e. for 5657,7195 is 1

LCM of denominators i.e. for 661,5095 is 3367795.

Thus, GCF of Fractions is 1/3367795.Finally, GCF of Fractions for 5657/661, 7195/5095 is 1/3367795.