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GCF of 738/358, 9157/108

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 738/358, 9157/108 i.e 1/19332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 738/358, 9157/108.

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 738/358,9157/108?

Given fractions are 738/358,9157/108

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 738/358,9157/108, numerators are 738,9157

Denominators are 358,108

The GCF of 738,9157 is 1 .

LCM of 358,108 is 19332.

The greatest common factor of 738/358,9157/108 = [GCF of 738,9157]/[LCM of 358,108]= 1/19332

Therefore, the GCF of 738/358,9157/108 is 1/19332.

Greatest Common Factor of 738,9157

To find the highest common factor of 738,9157, we have to find the factors of both numbers and list the highest common factor.

The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

The factors of 9157 are 1, 9157

The HCF of 738,9157 is 1.

Lets's calculate GCF of 738,9157

Greatest Common Factor (GCF) of 738,9157 By Common Division

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

Greatest Common Factor of 738,9157 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,9157 By Matching Biggest Common Factor Method

Now, list down the factors of 738

:

1,2,3,6,9,18,41,82,123,246,369,738

Now, list down the factors of 9157

:

1,9157

Greatest Common Factor

We found the factors 738,9157 . The biggest common factor number is the GCF number.
So the greatest common factor 738,9157 is 1.

Lets's calculate LCM of 358,108

Lowest Common Multiple of 358,108 using Common Division

2 358, 108
179, 54

∴ So the LCM of the given numbers is 2 x 179 x 54 = 19332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19332

Therefore, the GCF of Fractions 738/358,9157/108 is 1/19332

Least Common Multiple of 358,108 with GCF Formula

Least Common Multiple of 358,108 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 358,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,108) = 2

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

GCF(358,108) x common factors =2 x 1 = 2

LCM(358,108) = ( 358 × 108 ) / 2

LCM(358,108) = 38664 / 2

LCM(358,108) = 19332


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FAQs on GCF of Fractions of 738/358, 9157/108

1. What is the HCF of 738,9157?

The HCF of 738,9157 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 738/358, 9157/108?

Answer: GCF of Numerators as per given numbers 738/358, 9157/108 is

GCF of Numerators i.e. for 738,9157 is 1

LCM of denominators i.e. for 358,108 is 19332.

Thus, GCF of Fractions is 1/19332.Finally, GCF of Fractions for 738/358, 9157/108 is 1/19332.