Greatest Common Factor of 262/800, 7499/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 262/800, 7499/768

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 262/800,7499/768

Given fractions are 262/800,7499/768

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 262,7499

Greatest Common Factor of Numerators i.e. GCF of 262,7499 is 1 .

LCM of Denominators means LCM of 800,768 as per the given fractions.

LCM of 800,768 is 19200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 262,7499

GCF of Fractions 262/800,7499/768 is 1/19200

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

Greatest Common Factor of 262,7499 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,7499 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 7499

List of positive integer factors of 7499 that divides 7499 without a remainder.

1,7499

Greatest Common Factor

We found the factors 262,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 262,7499 is 1.

Lets's calculate LCM of 800,768

2 800, 768
2 400, 384
2 200, 192
2 100, 96
2 50, 48
25, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 25 x 24 = 19200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19200

Therefore, the GCF of Fractions 262/800,7499/768 is 1/19200

Least Common Multiple of 800,768 with GCF Formula

Least Common Multiple of 800,768 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 800,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,768) = 32

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

GCF(800,768) x common factors =32 x 1 = 32

LCM(800,768) = ( 800 × 768 ) / 32

LCM(800,768) = 614400 / 32

LCM(800,768) = 19200


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 262/800, 7499/768

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 262/800, 7499/768?

Answer: GCF of Numerators as per given numbers 262/800, 7499/768 is

GCF of Numerators i.e. for 262,7499 is 1

LCM of denominators i.e. for 800,768 is 19200.

Thus, GCF of Fractions is 1/19200.Finally, GCF of Fractions for 262/800, 7499/768 is 1/19200.