Greatest Common Factor of 11/90, 464/25, 707/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/90, 464/25, 707/312

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 11/90,464/25,707/312

Given fractions are 11/90,464/25,707/312

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 11,464,707

Greatest Common Factor of Numerators i.e. GCF of 11,464,707 is 1 .

LCM of Denominators means LCM of 90,25,312 as per the given fractions.

LCM of 90,25,312 is 23400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,464,707

GCF of Fractions 11/90,464/25,707/312 is 1/23400

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

Greatest Common Factor of 11,464,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,464,707 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 11,464,707 . The biggest common factor number is the GCF number.
So the greatest common factor 11,464,707 is 1.

Lets's calculate LCM of 90,25,312

2 90, 25, 312
3 45, 25, 156
5 15, 25, 52
3, 5, 52

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 5 x 52 = 23400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23400

Therefore, the GCF of Fractions 11/90,464/25,707/312 is 1/23400

Least Common Multiple of 90,25,312 with GCF Formula

Least Common Multiple of 90,25,312 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 90,25,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,25,312) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(90,25,312) x common factors =1 x 30 = 30

LCM(90,25,312) = ( 90 × 25 × 312 ) / 30

LCM(90,25,312) = 702000 / 30

LCM(90,25,312) = 23400


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 11/90, 464/25, 707/312

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 11/90, 464/25, 707/312?

Answer: GCF of Numerators as per given numbers 11/90, 464/25, 707/312 is

GCF of Numerators i.e. for 11,464,707 is 1

LCM of denominators i.e. for 90,25,312 is 23400.

Thus, GCF of Fractions is 1/23400.Finally, GCF of Fractions for 11/90, 464/25, 707/312 is 1/23400.