Greatest Common Factor of 157/86, 148/75, 426/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/86, 148/75, 426/565

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 157/86,148/75,426/565

Given fractions are 157/86,148/75,426/565

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 157,148,426

Greatest Common Factor of Numerators i.e. GCF of 157,148,426 is 1 .

LCM of Denominators means LCM of 86,75,565 as per the given fractions.

LCM of 86,75,565 is 728850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,148,426

GCF of Fractions 157/86,148/75,426/565 is 1/728850

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

Greatest Common Factor of 157,148,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,148,426 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 157,148,426 . The biggest common factor number is the GCF number.
So the greatest common factor 157,148,426 is 1.

Lets's calculate LCM of 86,75,565

5 86, 75, 565
86, 15, 113

∴ So the LCM of the given numbers is 5 x 86 x 15 x 113 = 728850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/728850

Therefore, the GCF of Fractions 157/86,148/75,426/565 is 1/728850

Least Common Multiple of 86,75,565 with GCF Formula

Least Common Multiple of 86,75,565 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 86,75,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,75,565) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(86,75,565) x common factors =1 x 5 = 5

LCM(86,75,565) = ( 86 × 75 × 565 ) / 5

LCM(86,75,565) = 3644250 / 5

LCM(86,75,565) = 728850


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 157/86, 148/75, 426/565

1. 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.

2. What is the GCF of Fractions for 157/86, 148/75, 426/565?

Answer: GCF of Numerators as per given numbers 157/86, 148/75, 426/565 is

GCF of Numerators i.e. for 157,148,426 is 1

LCM of denominators i.e. for 86,75,565 is 728850.

Thus, GCF of Fractions is 1/728850.Finally, GCF of Fractions for 157/86, 148/75, 426/565 is 1/728850.