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GCF of 956/92, 171/234

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 956/92, 171/234 i.e 1/10764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 956/92, 171/234.

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 956/92,171/234?

Given fractions are 956/92,171/234

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 956/92,171/234, numerators are 956,171

Denominators are 92,234

The GCF of 956,171 is 1 .

LCM of 92,234 is 10764.

The greatest common factor of 956/92,171/234 = [GCF of 956,171]/[LCM of 92,234]= 1/10764

Therefore, the GCF of 956/92,171/234 is 1/10764.

Greatest Common Factor of 956,171

To find the highest common factor of 956,171, we have to find the factors of both numbers and list the highest common factor.

The factors of 956 are 1, 2, 4, 239, 478, 956

The factors of 171 are 1, 3, 9, 19, 57, 171

The HCF of 956,171 is 1.

Lets's calculate GCF of 956,171

Greatest Common Factor (GCF) of 956,171 By Common Division

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

Greatest Common Factor of 956,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,171 By Matching Biggest Common Factor Method

Now, list down the factors of 956

:

1,2,4,239,478,956

Now, list down the factors of 171

:

1,3,9,19,57,171

Greatest Common Factor

We found the factors 956,171 . The biggest common factor number is the GCF number.
So the greatest common factor 956,171 is 1.

Lets's calculate LCM of 92,234

Lowest Common Multiple of 92,234 using Common Division

2 92, 234
46, 117

∴ So the LCM of the given numbers is 2 x 46 x 117 = 10764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10764

Therefore, the GCF of Fractions 956/92,171/234 is 1/10764

Least Common Multiple of 92,234 with GCF Formula

Least Common Multiple of 92,234 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 92,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,234) = 2

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

GCF(92,234) x common factors =2 x 1 = 2

LCM(92,234) = ( 92 × 234 ) / 2

LCM(92,234) = 21528 / 2

LCM(92,234) = 10764


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FAQs on GCF of Fractions of 956/92, 171/234

1. What is the HCF of 956,171?

The HCF of 956,171 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 956/92, 171/234?

Answer: GCF of Numerators as per given numbers 956/92, 171/234 is

GCF of Numerators i.e. for 956,171 is 1

LCM of denominators i.e. for 92,234 is 10764.

Thus, GCF of Fractions is 1/10764.Finally, GCF of Fractions for 956/92, 171/234 is 1/10764.