Greatest Common Factor of 967/278, 931/284, 159/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 967/278, 931/284, 159/465

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 967/278,931/284,159/465

Given fractions are 967/278,931/284,159/465

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 967,931,159

Greatest Common Factor of Numerators i.e. GCF of 967,931,159 is 1 .

LCM of Denominators means LCM of 278,284,465 as per the given fractions.

LCM of 278,284,465 is 18356340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 967,931,159

GCF of Fractions 967/278,931/284,159/465 is 1/18356340

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

Greatest Common Factor of 967,931,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,931,159 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 967,931,159 . The biggest common factor number is the GCF number.
So the greatest common factor 967,931,159 is 1.

Lets's calculate LCM of 278,284,465

2 278, 284, 465
139, 142, 465

∴ So the LCM of the given numbers is 2 x 139 x 142 x 465 = 18356340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18356340

Therefore, the GCF of Fractions 967/278,931/284,159/465 is 1/18356340

Least Common Multiple of 278,284,465 with GCF Formula

Least Common Multiple of 278,284,465 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 278,284,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,284,465) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(278,284,465) x common factors =1 x 2 = 2

LCM(278,284,465) = ( 278 × 284 × 465 ) / 2

LCM(278,284,465) = 36712680 / 2

LCM(278,284,465) = 18356340


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 967/278, 931/284, 159/465

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 967/278, 931/284, 159/465?

Answer: GCF of Numerators as per given numbers 967/278, 931/284, 159/465 is

GCF of Numerators i.e. for 967,931,159 is 1

LCM of denominators i.e. for 278,284,465 is 18356340.

Thus, GCF of Fractions is 1/18356340.Finally, GCF of Fractions for 967/278, 931/284, 159/465 is 1/18356340.