Greatest Common Factor of 7649/922, 1386/1800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7649/922, 1386/1800

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 7649/922,1386/1800

Given fractions are 7649/922,1386/1800

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 7649,1386

Greatest Common Factor of Numerators i.e. GCF of 7649,1386 is 1 .

LCM of Denominators means LCM of 922,1800 as per the given fractions.

LCM of 922,1800 is 829800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7649,1386

GCF of Fractions 7649/922,1386/1800 is 1/829800

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

Greatest Common Factor of 7649,1386 By Matching Biggest Common Factor Method

Greatest Common Factor of 7649,1386 By Matching Biggest Common Factor Method

Factors of 7649

List of positive integer factors of 7649 that divides 7649 without a remainder.

1,7649

Factors of 1386

List of positive integer factors of 1386 that divides 1386 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386

Greatest Common Factor

We found the factors 7649,1386 . The biggest common factor number is the GCF number.
So the greatest common factor 7649,1386 is 1.

Lets's calculate LCM of 922,1800

2 922, 1800
461, 900

∴ So the LCM of the given numbers is 2 x 461 x 900 = 829800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/829800

Therefore, the GCF of Fractions 7649/922,1386/1800 is 1/829800

Least Common Multiple of 922,1800 with GCF Formula

Least Common Multiple of 922,1800 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 922,1800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,1800) = 2

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

GCF(922,1800) x common factors =2 x 1 = 2

LCM(922,1800) = ( 922 × 1800 ) / 2

LCM(922,1800) = 1659600 / 2

LCM(922,1800) = 829800


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 7649/922, 1386/1800

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 7649/922, 1386/1800?

Answer: GCF of Numerators as per given numbers 7649/922, 1386/1800 is

GCF of Numerators i.e. for 7649,1386 is 1

LCM of denominators i.e. for 922,1800 is 829800.

Thus, GCF of Fractions is 1/829800.Finally, GCF of Fractions for 7649/922, 1386/1800 is 1/829800.