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GCF of 156/23, 182/717

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 156/23, 182/717 i.e 26/16491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/23, 182/717.

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 156/23,182/717?

Given fractions are 156/23,182/717

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 156/23,182/717, numerators are 156,182

Denominators are 23,717

The GCF of 156,182 is 26 .

LCM of 23,717 is 16491.

The greatest common factor of 156/23,182/717 = [GCF of 156,182]/[LCM of 23,717]= 26/16491

Therefore, the GCF of 156/23,182/717 is 26/16491.

Greatest Common Factor of 156,182

To find the highest common factor of 156,182, we have to find the factors of both numbers and list the highest common factor.

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

The HCF of 156,182 is 26.

Lets's calculate GCF of 156,182

Greatest Common Factor (GCF) of 156,182 By Common Division

2 156, 182
13 78, 91
6, 7

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 156,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,182 By Matching Biggest Common Factor Method

Now, list down the factors of 156

:

1,2,3,4,6,12,13,26,39,52,78,156

Now, list down the factors of 182

:

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 156,182 . The biggest common factor number is the GCF number.
So the greatest common factor 156,182 is 26.

Lets's calculate LCM of 23,717

Lowest Common Multiple of 23,717 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 16491

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/16491

Therefore, the GCF of Fractions 156/23,182/717 is 26/16491

Least Common Multiple of 23,717 with GCF Formula

Least Common Multiple of 23,717 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 23,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,717) = 1

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

GCF(23,717) x common factors =1 x 1 = 1

LCM(23,717) = ( 23 × 717 ) / 1

LCM(23,717) = 16491 / 1

LCM(23,717) = 16491


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FAQs on GCF of Fractions of 156/23, 182/717

1. What is the HCF of 156,182?

The HCF of 156,182 is 26

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 156/23, 182/717?

Answer: GCF of Numerators as per given numbers 156/23, 182/717 is

GCF of Numerators i.e. for 156,182 is 26

LCM of denominators i.e. for 23,717 is 16491.

Thus, GCF of Fractions is 26/16491.Finally, GCF of Fractions for 156/23, 182/717 is 26/16491.