Greatest Common Factor of 769/320, 5607/1050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 769/320, 5607/1050

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 769/320,5607/1050

Given fractions are 769/320,5607/1050

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 769,5607

Greatest Common Factor of Numerators i.e. GCF of 769,5607 is 1 .

LCM of Denominators means LCM of 320,1050 as per the given fractions.

LCM of 320,1050 is 33600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 769,5607

GCF of Fractions 769/320,5607/1050 is 1/33600

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

Greatest Common Factor of 769,5607 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,5607 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 5607

List of positive integer factors of 5607 that divides 5607 without a remainder.

1,3,7,9,21,63,89,267,623,801,1869,5607

Greatest Common Factor

We found the factors 769,5607 . The biggest common factor number is the GCF number.
So the greatest common factor 769,5607 is 1.

Lets's calculate LCM of 320,1050

2 320, 1050
5 160, 525
32, 105

∴ So the LCM of the given numbers is 2 x 5 x 32 x 105 = 33600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33600

Therefore, the GCF of Fractions 769/320,5607/1050 is 1/33600

Least Common Multiple of 320,1050 with GCF Formula

Least Common Multiple of 320,1050 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 320,1050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,1050) = 10

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

GCF(320,1050) x common factors =10 x 1 = 10

LCM(320,1050) = ( 320 × 1050 ) / 10

LCM(320,1050) = 336000 / 10

LCM(320,1050) = 33600


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 769/320, 5607/1050

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 769/320, 5607/1050?

Answer: GCF of Numerators as per given numbers 769/320, 5607/1050 is

GCF of Numerators i.e. for 769,5607 is 1

LCM of denominators i.e. for 320,1050 is 33600.

Thus, GCF of Fractions is 1/33600.Finally, GCF of Fractions for 769/320, 5607/1050 is 1/33600.