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GCF of 157/22, 940/645

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 157/22, 940/645 i.e 1/14190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 157/22, 940/645.

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 157/22,940/645?

Given fractions are 157/22,940/645

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 157/22,940/645, numerators are 157,940

Denominators are 22,645

The GCF of 157,940 is 1 .

LCM of 22,645 is 14190.

The greatest common factor of 157/22,940/645 = [GCF of 157,940]/[LCM of 22,645]= 1/14190

Therefore, the GCF of 157/22,940/645 is 1/14190.

Greatest Common Factor of 157,940

To find the highest common factor of 157,940, 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 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The HCF of 157,940 is 1.

Lets's calculate GCF of 157,940

Greatest Common Factor (GCF) of 157,940 By Common Division

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

Greatest Common Factor of 157,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,940 By Matching Biggest Common Factor Method

Now, list down the factors of 157

:

1,157

Now, list down the factors of 940

:

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 157,940 . The biggest common factor number is the GCF number.
So the greatest common factor 157,940 is 1.

Lets's calculate LCM of 22,645

Lowest Common Multiple of 22,645 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14190

Therefore, the GCF of Fractions 157/22,940/645 is 1/14190

Least Common Multiple of 22,645 with GCF Formula

Least Common Multiple of 22,645 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 22,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,645) = 1

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

GCF(22,645) x common factors =1 x 1 = 1

LCM(22,645) = ( 22 × 645 ) / 1

LCM(22,645) = 14190 / 1

LCM(22,645) = 14190


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FAQs on GCF of Fractions of 157/22, 940/645

1. What is the HCF of 157,940?

The HCF of 157,940 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 157/22, 940/645?

Answer: GCF of Numerators as per given numbers 157/22, 940/645 is

GCF of Numerators i.e. for 157,940 is 1

LCM of denominators i.e. for 22,645 is 14190.

Thus, GCF of Fractions is 1/14190.Finally, GCF of Fractions for 157/22, 940/645 is 1/14190.