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GCF of 157/214, 9596/144

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 157/214, 9596/144 i.e 1/15408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 157/214, 9596/144.

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 157/214,9596/144?

Given fractions are 157/214,9596/144

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 157/214,9596/144, numerators are 157,9596

Denominators are 214,144

The GCF of 157,9596 is 1 .

LCM of 214,144 is 15408.

The greatest common factor of 157/214,9596/144 = [GCF of 157,9596]/[LCM of 214,144]= 1/15408

Therefore, the GCF of 157/214,9596/144 is 1/15408.

Greatest Common Factor of 157,9596

To find the highest common factor of 157,9596, we have to find the factors of both numbers and list the highest common factor.

The factors of 157 are 1, 157

The factors of 9596 are 1, 2, 4, 2399, 4798, 9596

The HCF of 157,9596 is 1.

Lets's calculate GCF of 157,9596

Greatest Common Factor (GCF) of 157,9596 By Common Division

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

Greatest Common Factor of 157,9596 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,9596 By Matching Biggest Common Factor Method

Now, list down the factors of 157

:

1,157

Now, list down the factors of 9596

:

1,2,4,2399,4798,9596

Greatest Common Factor

We found the factors 157,9596 . The biggest common factor number is the GCF number.
So the greatest common factor 157,9596 is 1.

Lets's calculate LCM of 214,144

Lowest Common Multiple of 214,144 using Common Division

2 214, 144
107, 72

∴ So the LCM of the given numbers is 2 x 107 x 72 = 15408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15408

Therefore, the GCF of Fractions 157/214,9596/144 is 1/15408

Least Common Multiple of 214,144 with GCF Formula

Least Common Multiple of 214,144 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 214,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,144) = 2

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

GCF(214,144) x common factors =2 x 1 = 2

LCM(214,144) = ( 214 × 144 ) / 2

LCM(214,144) = 30816 / 2

LCM(214,144) = 15408


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FAQs on GCF of Fractions of 157/214, 9596/144

1. What is the HCF of 157,9596?

The HCF of 157,9596 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 157/214, 9596/144?

Answer: GCF of Numerators as per given numbers 157/214, 9596/144 is

GCF of Numerators i.e. for 157,9596 is 1

LCM of denominators i.e. for 214,144 is 15408.

Thus, GCF of Fractions is 1/15408.Finally, GCF of Fractions for 157/214, 9596/144 is 1/15408.