How to Find GCF of 7231/628, 3656/2154?

GCF of 7231/628, 3656/2154

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 7231/628, 3656/2154 i.e 1/676356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7231/628, 3656/2154.

Enter two or more fractions separated by "commas"

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

What is the GCF of 7231/628,3656/2154?

Given fractions are 7231/628,3656/2154

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 7231/628,3656/2154, numerators are 7231,3656

Denominators are 628,2154

The GCF of 7231,3656 is 1 .

LCM of 628,2154 is 676356.

The greatest common factor of 7231/628,3656/2154 = [GCF of 7231,3656]/[LCM of 628,2154]= 1/676356

Therefore, the GCF of 7231/628,3656/2154 is 1/676356.

Greatest Common Factor of 7231,3656

To find the highest common factor of 7231,3656, we have to find the factors of both numbers and list the highest common factor.

The factors of 7231 are 1, 7, 1033, 7231

The factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656

The HCF of 7231,3656 is 1.

Lets's calculate GCF of 7231,3656

Greatest Common Factor (GCF) of 7231,3656 By Common Division

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

Greatest Common Factor of 7231,3656 By Matching Biggest Common Factor Method

Now, list down the factors of 7231

1,7,1033,7231

Now, list down the factors of 3656

1,2,4,8,457,914,1828,3656

Greatest Common Factor

We found the factors 7231,3656 . The biggest common factor number is the GCF number.
So the greatest common factor 7231,3656 is 1.

Lets's calculate LCM of 628,2154

Lowest Common Multiple of 628,2154 using Common Division

2	628, 2154
	314, 1077

∴ So the LCM of the given numbers is 2 x 314 x 1077 = 676356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/676356

Therefore, the GCF of Fractions 7231/628,3656/2154 is 1/676356

Least Common Multiple of 628,2154 with GCF Formula

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

We need to calculate greatest common factor of 628,2154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,2154) = 2

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

GCF(628,2154) x common factors =2 x 1 = 2

LCM(628,2154) = ( 628 × 2154 ) / 2

LCM(628,2154) = 1352712 / 2

LCM(628,2154) = 676356

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FAQs on GCF of Fractions of 7231/628, 3656/2154

1. What is the HCF of 7231,3656?

The HCF of 7231,3656 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 7231/628, 3656/2154?

Answer: GCF of Numerators as per given numbers 7231/628, 3656/2154 is

GCF of Numerators i.e. for 7231,3656 is 1

LCM of denominators i.e. for 628,2154 is 676356.

Thus, GCF of Fractions is 1/676356.Finally, GCF of Fractions for 7231/628, 3656/2154 is 1/676356.