Greatest Common Factor of 239/25, 767/90, 164/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 239/25, 767/90, 164/508

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 239/25,767/90,164/508

Given fractions are 239/25,767/90,164/508

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 239,767,164

Greatest Common Factor of Numerators i.e. GCF of 239,767,164 is 1 .

LCM of Denominators means LCM of 25,90,508 as per the given fractions.

LCM of 25,90,508 is 114300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 239,767,164

GCF of Fractions 239/25,767/90,164/508 is 1/114300

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

Greatest Common Factor of 239,767,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,767,164 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 239,767,164 . The biggest common factor number is the GCF number.
So the greatest common factor 239,767,164 is 1.

Lets's calculate LCM of 25,90,508

2 25, 90, 508
5 25, 45, 254
5, 9, 254

∴ So the LCM of the given numbers is 2 x 5 x 5 x 9 x 254 = 114300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114300

Therefore, the GCF of Fractions 239/25,767/90,164/508 is 1/114300

Least Common Multiple of 25,90,508 with GCF Formula

Least Common Multiple of 25,90,508 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 25,90,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,90,508) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(25,90,508) x common factors =1 x 10 = 10

LCM(25,90,508) = ( 25 × 90 × 508 ) / 10

LCM(25,90,508) = 1143000 / 10

LCM(25,90,508) = 114300


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 239/25, 767/90, 164/508

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 239/25, 767/90, 164/508?

Answer: GCF of Numerators as per given numbers 239/25, 767/90, 164/508 is

GCF of Numerators i.e. for 239,767,164 is 1

LCM of denominators i.e. for 25,90,508 is 114300.

Thus, GCF of Fractions is 1/114300.Finally, GCF of Fractions for 239/25, 767/90, 164/508 is 1/114300.