Greatest Common Factor of 42/960, 8014/1207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/960, 8014/1207

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 42/960,8014/1207

Given fractions are 42/960,8014/1207

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 42,8014

Greatest Common Factor of Numerators i.e. GCF of 42,8014 is 2 .

LCM of Denominators means LCM of 960,1207 as per the given fractions.

LCM of 960,1207 is 1158720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,8014

GCF of Fractions 42/960,8014/1207 is 2/1158720

2 42, 8014
21, 4007

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 42,8014 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,8014 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 8014

List of positive integer factors of 8014 that divides 8014 without a remainder.

1,2,4007,8014

Greatest Common Factor

We found the factors 42,8014 . The biggest common factor number is the GCF number.
So the greatest common factor 42,8014 is 2.

Lets's calculate LCM of 960,1207

Given numbers has no common factors except 1. So, there LCM is their product i.e 1158720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1158720

Therefore, the GCF of Fractions 42/960,8014/1207 is 2/1158720

Least Common Multiple of 960,1207 with GCF Formula

Least Common Multiple of 960,1207 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 960,1207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,1207) = 1

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

GCF(960,1207) x common factors =1 x 1 = 1

LCM(960,1207) = ( 960 × 1207 ) / 1

LCM(960,1207) = 1158720 / 1

LCM(960,1207) = 1158720


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 42/960, 8014/1207

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 42/960, 8014/1207?

Answer: GCF of Numerators as per given numbers 42/960, 8014/1207 is

GCF of Numerators i.e. for 42,8014 is 2

LCM of denominators i.e. for 960,1207 is 1158720.

Thus, GCF of Fractions is 2/1158720.Finally, GCF of Fractions for 42/960, 8014/1207 is 2/1158720.