Greatest Common Factor of 787/900, 9666/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/900, 9666/224

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 787/900,9666/224

Given fractions are 787/900,9666/224

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 787,9666

Greatest Common Factor of Numerators i.e. GCF of 787,9666 is 1 .

LCM of Denominators means LCM of 900,224 as per the given fractions.

LCM of 900,224 is 50400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,9666

GCF of Fractions 787/900,9666/224 is 1/50400

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

Greatest Common Factor of 787,9666 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,9666 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 9666

List of positive integer factors of 9666 that divides 9666 without a remainder.

1,2,3,6,9,18,27,54,179,358,537,1074,1611,3222,4833,9666

Greatest Common Factor

We found the factors 787,9666 . The biggest common factor number is the GCF number.
So the greatest common factor 787,9666 is 1.

Lets's calculate LCM of 900,224

2 900, 224
2 450, 112
225, 56

∴ So the LCM of the given numbers is 2 x 2 x 225 x 56 = 50400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50400

Therefore, the GCF of Fractions 787/900,9666/224 is 1/50400

Least Common Multiple of 900,224 with GCF Formula

Least Common Multiple of 900,224 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 900,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,224) = 4

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

GCF(900,224) x common factors =4 x 1 = 4

LCM(900,224) = ( 900 × 224 ) / 4

LCM(900,224) = 201600 / 4

LCM(900,224) = 50400


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 787/900, 9666/224

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 787/900, 9666/224?

Answer: GCF of Numerators as per given numbers 787/900, 9666/224 is

GCF of Numerators i.e. for 787,9666 is 1

LCM of denominators i.e. for 900,224 is 50400.

Thus, GCF of Fractions is 1/50400.Finally, GCF of Fractions for 787/900, 9666/224 is 1/50400.