Greatest Common Factor of 8662/725, 6283/9790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8662/725, 6283/9790

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 8662/725,6283/9790

Given fractions are 8662/725,6283/9790

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 8662,6283

Greatest Common Factor of Numerators i.e. GCF of 8662,6283 is 61 .

LCM of Denominators means LCM of 725,9790 as per the given fractions.

LCM of 725,9790 is 1419550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8662,6283

GCF of Fractions 8662/725,6283/9790 is 61/1419550

61 8662, 6283
142, 103

∴ So the GCF of the given numbers is 61 = 61

Greatest Common Factor of 8662,6283 By Matching Biggest Common Factor Method

Greatest Common Factor of 8662,6283 By Matching Biggest Common Factor Method

Factors of 8662

List of positive integer factors of 8662 that divides 8662 without a remainder.

1,2,61,71,122,142,4331,8662

Factors of 6283

List of positive integer factors of 6283 that divides 6283 without a remainder.

1,61,103,6283

Greatest Common Factor

We found the factors 8662,6283 . The biggest common factor number is the GCF number.
So the greatest common factor 8662,6283 is 61.

Lets's calculate LCM of 725,9790

5 725, 9790
145, 1958

∴ So the LCM of the given numbers is 5 x 145 x 1958 = 1419550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/1419550

Therefore, the GCF of Fractions 8662/725,6283/9790 is 61/1419550

Least Common Multiple of 725,9790 with GCF Formula

Least Common Multiple of 725,9790 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 725,9790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,9790) = 5

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

GCF(725,9790) x common factors =5 x 1 = 5

LCM(725,9790) = ( 725 × 9790 ) / 5

LCM(725,9790) = 7097750 / 5

LCM(725,9790) = 1419550


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 8662/725, 6283/9790

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 8662/725, 6283/9790?

Answer: GCF of Numerators as per given numbers 8662/725, 6283/9790 is

GCF of Numerators i.e. for 8662,6283 is 61

LCM of denominators i.e. for 725,9790 is 1419550.

Thus, GCF of Fractions is 61/1419550.Finally, GCF of Fractions for 8662/725, 6283/9790 is 61/1419550.