How to Find GCF of 5522/356, 7265/3738?

GCF of 5522/356, 7265/3738

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 5522/356, 7265/3738 i.e 1/7476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5522/356, 7265/3738.

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 5522/356,7265/3738?

Given fractions are 5522/356,7265/3738

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 5522/356,7265/3738, numerators are 5522,7265

Denominators are 356,3738

The GCF of 5522,7265 is 1 .

LCM of 356,3738 is 7476.

The greatest common factor of 5522/356,7265/3738 = [GCF of 5522,7265]/[LCM of 356,3738]= 1/7476

Therefore, the GCF of 5522/356,7265/3738 is 1/7476.

Greatest Common Factor of 5522,7265

To find the highest common factor of 5522,7265, we have to find the factors of both numbers and list the highest common factor.

The factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522

The factors of 7265 are 1, 5, 1453, 7265

The HCF of 5522,7265 is 1.

Lets's calculate GCF of 5522,7265

Greatest Common Factor (GCF) of 5522,7265 By Common Division

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

Greatest Common Factor of 5522,7265 By Matching Biggest Common Factor Method

Now, list down the factors of 5522

1,2,11,22,251,502,2761,5522

Now, list down the factors of 7265

1,5,1453,7265

Greatest Common Factor

We found the factors 5522,7265 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,7265 is 1.

Lets's calculate LCM of 356,3738

Lowest Common Multiple of 356,3738 using Common Division

2	356, 3738
89	178, 1869
	2, 21

∴ So the LCM of the given numbers is 2 x 89 x 2 x 21 = 7476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7476

Therefore, the GCF of Fractions 5522/356,7265/3738 is 1/7476

Least Common Multiple of 356,3738 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 356,3738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,3738) = 178

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

GCF(356,3738) x common factors =178 x 1 = 178

LCM(356,3738) = ( 356 × 3738 ) / 178

LCM(356,3738) = 1330728 / 178

LCM(356,3738) = 7476

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FAQs on GCF of Fractions of 5522/356, 7265/3738

1. What is the HCF of 5522,7265?

The HCF of 5522,7265 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 5522/356, 7265/3738?

Answer: GCF of Numerators as per given numbers 5522/356, 7265/3738 is

GCF of Numerators i.e. for 5522,7265 is 1

LCM of denominators i.e. for 356,3738 is 7476.

Thus, GCF of Fractions is 1/7476.Finally, GCF of Fractions for 5522/356, 7265/3738 is 1/7476.