Greatest Common Factor of 2/12, 26/49, 89/416, 807/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/12, 26/49, 89/416, 807/491

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 2/12,26/49,89/416,807/491

Given fractions are 2/12,26/49,89/416,807/491

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 2,26,89,807

Greatest Common Factor of Numerators i.e. GCF of 2,26,89,807 is 1 .

LCM of Denominators means LCM of 12,49,416,491 as per the given fractions.

LCM of 12,49,416,491 is 30025632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,26,89,807

GCF of Fractions 2/12,26/49,89/416,807/491 is 1/30025632

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

Greatest Common Factor of 2,26,89,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,26,89,807 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 2,26,89,807 . The biggest common factor number is the GCF number.
So the greatest common factor 2,26,89,807 is 1.

Lets's calculate LCM of 12,49,416,491

2 12, 49, 416, 491
2 6, 49, 208, 491
3, 49, 104, 491

∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 104 x 491 = 30025632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30025632

Therefore, the GCF of Fractions 2/12,26/49,89/416,807/491 is 1/30025632

Least Common Multiple of 12,49,416,491 with GCF Formula

Least Common Multiple of 12,49,416,491 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 12,49,416,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,49,416,491) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,49,416,491) x common factors =1 x 4 = 4

LCM(12,49,416,491) = ( 12 × 49 × 416 × 491 ) / 4

LCM(12,49,416,491) = 120102528 / 4

LCM(12,49,416,491) = 30025632


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 2/12, 26/49, 89/416, 807/491

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 2/12, 26/49, 89/416, 807/491?

Answer: GCF of Numerators as per given numbers 2/12, 26/49, 89/416, 807/491 is

GCF of Numerators i.e. for 2,26,89,807 is 1

LCM of denominators i.e. for 12,49,416,491 is 30025632.

Thus, GCF of Fractions is 1/30025632.Finally, GCF of Fractions for 2/12, 26/49, 89/416, 807/491 is 1/30025632.