Greatest Common Factor of 7492/873, 4550/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7492/873, 4550/689

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 7492/873,4550/689

Given fractions are 7492/873,4550/689

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 7492,4550

Greatest Common Factor of Numerators i.e. GCF of 7492,4550 is 2 .

LCM of Denominators means LCM of 873,689 as per the given fractions.

LCM of 873,689 is 601497 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7492,4550

GCF of Fractions 7492/873,4550/689 is 2/601497

2 7492, 4550
3746, 2275

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7492,4550 By Matching Biggest Common Factor Method

Greatest Common Factor of 7492,4550 By Matching Biggest Common Factor Method

Factors of 7492

List of positive integer factors of 7492 that divides 7492 without a remainder.

1,2,4,1873,3746,7492

Factors of 4550

List of positive integer factors of 4550 that divides 4550 without a remainder.

1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550

Greatest Common Factor

We found the factors 7492,4550 . The biggest common factor number is the GCF number.
So the greatest common factor 7492,4550 is 2.

Lets's calculate LCM of 873,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 601497

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/601497

Therefore, the GCF of Fractions 7492/873,4550/689 is 2/601497

Least Common Multiple of 873,689 with GCF Formula

Least Common Multiple of 873,689 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 873,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,689) = 1

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

GCF(873,689) x common factors =1 x 1 = 1

LCM(873,689) = ( 873 × 689 ) / 1

LCM(873,689) = 601497 / 1

LCM(873,689) = 601497


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 7492/873, 4550/689

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 7492/873, 4550/689?

Answer: GCF of Numerators as per given numbers 7492/873, 4550/689 is

GCF of Numerators i.e. for 7492,4550 is 2

LCM of denominators i.e. for 873,689 is 601497.

Thus, GCF of Fractions is 2/601497.Finally, GCF of Fractions for 7492/873, 4550/689 is 2/601497.