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GCF of 937/557, 161/155

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 937/557, 161/155 i.e 1/86335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/557, 161/155.

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 937/557,161/155?

Given fractions are 937/557,161/155

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 937/557,161/155, numerators are 937,161

Denominators are 557,155

The GCF of 937,161 is 1 .

LCM of 557,155 is 86335.

The greatest common factor of 937/557,161/155 = [GCF of 937,161]/[LCM of 557,155]= 1/86335

Therefore, the GCF of 937/557,161/155 is 1/86335.

Greatest Common Factor of 937,161

To find the highest common factor of 937,161, 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 161 are 1, 7, 23, 161

The HCF of 937,161 is 1.

Lets's calculate GCF of 937,161

Greatest Common Factor (GCF) of 937,161 By Common Division

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

Greatest Common Factor of 937,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,161 By Matching Biggest Common Factor Method

Now, list down the factors of 937

:

1,937

Now, list down the factors of 161

:

1,7,23,161

Greatest Common Factor

We found the factors 937,161 . The biggest common factor number is the GCF number.
So the greatest common factor 937,161 is 1.

Lets's calculate LCM of 557,155

Lowest Common Multiple of 557,155 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 86335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86335

Therefore, the GCF of Fractions 937/557,161/155 is 1/86335

Least Common Multiple of 557,155 with GCF Formula

Least Common Multiple of 557,155 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 557,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,155) = 1

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

GCF(557,155) x common factors =1 x 1 = 1

LCM(557,155) = ( 557 × 155 ) / 1

LCM(557,155) = 86335 / 1

LCM(557,155) = 86335


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FAQs on GCF of Fractions of 937/557, 161/155

1. What is the HCF of 937,161?

The HCF of 937,161 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 937/557, 161/155?

Answer: GCF of Numerators as per given numbers 937/557, 161/155 is

GCF of Numerators i.e. for 937,161 is 1

LCM of denominators i.e. for 557,155 is 86335.

Thus, GCF of Fractions is 1/86335.Finally, GCF of Fractions for 937/557, 161/155 is 1/86335.