Greatest Common Factor of 7430/864, 1700/4524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7430/864, 1700/4524

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 7430/864,1700/4524

Given fractions are 7430/864,1700/4524

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 7430,1700

Greatest Common Factor of Numerators i.e. GCF of 7430,1700 is 10 .

LCM of Denominators means LCM of 864,4524 as per the given fractions.

LCM of 864,4524 is 325728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7430,1700

GCF of Fractions 7430/864,1700/4524 is 10/325728

2 7430, 1700
5 3715, 850
743, 170

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7430,1700 By Matching Biggest Common Factor Method

Greatest Common Factor of 7430,1700 By Matching Biggest Common Factor Method

Factors of 7430

List of positive integer factors of 7430 that divides 7430 without a remainder.

1,2,5,10,743,1486,3715,7430

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Greatest Common Factor

We found the factors 7430,1700 . The biggest common factor number is the GCF number.
So the greatest common factor 7430,1700 is 10.

Lets's calculate LCM of 864,4524

2 864, 4524
2 432, 2262
3 216, 1131
72, 377

∴ So the LCM of the given numbers is 2 x 2 x 3 x 72 x 377 = 325728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/325728

Therefore, the GCF of Fractions 7430/864,1700/4524 is 10/325728

Least Common Multiple of 864,4524 with GCF Formula

Least Common Multiple of 864,4524 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 864,4524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,4524) = 12

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

GCF(864,4524) x common factors =12 x 1 = 12

LCM(864,4524) = ( 864 × 4524 ) / 12

LCM(864,4524) = 3908736 / 12

LCM(864,4524) = 325728


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 7430/864, 1700/4524

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 7430/864, 1700/4524?

Answer: GCF of Numerators as per given numbers 7430/864, 1700/4524 is

GCF of Numerators i.e. for 7430,1700 is 10

LCM of denominators i.e. for 864,4524 is 325728.

Thus, GCF of Fractions is 10/325728.Finally, GCF of Fractions for 7430/864, 1700/4524 is 10/325728.