Greatest Common Factor of 1/25, 12/71, 18/703, 656/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/25, 12/71, 18/703, 656/282

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 1/25,12/71,18/703,656/282

Given fractions are 1/25,12/71,18/703,656/282

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 1,12,18,656

Greatest Common Factor of Numerators i.e. GCF of 1,12,18,656 is 1 .

LCM of Denominators means LCM of 25,71,703,282 as per the given fractions.

LCM of 25,71,703,282 is 351886650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,12,18,656

GCF of Fractions 1/25,12/71,18/703,656/282 is 1/351886650

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

Greatest Common Factor of 1,12,18,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,12,18,656 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 1,12,18,656 . The biggest common factor number is the GCF number.
So the greatest common factor 1,12,18,656 is 1.

Lets's calculate LCM of 25,71,703,282

Given numbers has no common factors except 1. So, there LCM is their product i.e 351886650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351886650

Therefore, the GCF of Fractions 1/25,12/71,18/703,656/282 is 1/351886650

Least Common Multiple of 25,71,703,282 with GCF Formula

Least Common Multiple of 25,71,703,282 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 25,71,703,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,71,703,282) = 1

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

GCF(25,71,703,282) x common factors =1 x 1 = 1

LCM(25,71,703,282) = ( 25 × 71 × 703 × 282 ) / 1

LCM(25,71,703,282) = 351886650 / 1

LCM(25,71,703,282) = 351886650


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 1/25, 12/71, 18/703, 656/282

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 1/25, 12/71, 18/703, 656/282?

Answer: GCF of Numerators as per given numbers 1/25, 12/71, 18/703, 656/282 is

GCF of Numerators i.e. for 1,12,18,656 is 1

LCM of denominators i.e. for 25,71,703,282 is 351886650.

Thus, GCF of Fractions is 1/351886650.Finally, GCF of Fractions for 1/25, 12/71, 18/703, 656/282 is 1/351886650.