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GCF of 937/138, 8166/1266

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 937/138, 8166/1266 i.e 1/29118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/138, 8166/1266.

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 937/138,8166/1266?

Given fractions are 937/138,8166/1266

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 937/138,8166/1266, numerators are 937,8166

Denominators are 138,1266

The GCF of 937,8166 is 1 .

LCM of 138,1266 is 29118.

The greatest common factor of 937/138,8166/1266 = [GCF of 937,8166]/[LCM of 138,1266]= 1/29118

Therefore, the GCF of 937/138,8166/1266 is 1/29118.

Greatest Common Factor of 937,8166

To find the highest common factor of 937,8166, we have to find the factors of both numbers and list the highest common factor.

The factors of 937 are 1, 937

The factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166

The HCF of 937,8166 is 1.

Lets's calculate GCF of 937,8166

Greatest Common Factor (GCF) of 937,8166 By Common Division

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

Greatest Common Factor of 937,8166 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,8166 By Matching Biggest Common Factor Method

Now, list down the factors of 937

:

1,937

Now, list down the factors of 8166

:

1,2,3,6,1361,2722,4083,8166

Greatest Common Factor

We found the factors 937,8166 . The biggest common factor number is the GCF number.
So the greatest common factor 937,8166 is 1.

Lets's calculate LCM of 138,1266

Lowest Common Multiple of 138,1266 using Common Division

2 138, 1266
3 69, 633
23, 211

∴ So the LCM of the given numbers is 2 x 3 x 23 x 211 = 29118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29118

Therefore, the GCF of Fractions 937/138,8166/1266 is 1/29118

Least Common Multiple of 138,1266 with GCF Formula

Least Common Multiple of 138,1266 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 138,1266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,1266) = 6

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

GCF(138,1266) x common factors =6 x 1 = 6

LCM(138,1266) = ( 138 × 1266 ) / 6

LCM(138,1266) = 174708 / 6

LCM(138,1266) = 29118


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 937/138, 8166/1266

1. What is the HCF of 937,8166?

The HCF of 937,8166 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 937/138, 8166/1266?

Answer: GCF of Numerators as per given numbers 937/138, 8166/1266 is

GCF of Numerators i.e. for 937,8166 is 1

LCM of denominators i.e. for 138,1266 is 29118.

Thus, GCF of Fractions is 1/29118.Finally, GCF of Fractions for 937/138, 8166/1266 is 1/29118.