Greatest Common Factor of 8482/825, 8450/7667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8482/825, 8450/7667

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 8482/825,8450/7667

Given fractions are 8482/825,8450/7667

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 8482,8450

Greatest Common Factor of Numerators i.e. GCF of 8482,8450 is 2 .

LCM of Denominators means LCM of 825,7667 as per the given fractions.

LCM of 825,7667 is 575025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8482,8450

GCF of Fractions 8482/825,8450/7667 is 2/575025

2 8482, 8450
4241, 4225

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

Greatest Common Factor of 8482,8450 By Matching Biggest Common Factor Method

Greatest Common Factor of 8482,8450 By Matching Biggest Common Factor Method

Factors of 8482

List of positive integer factors of 8482 that divides 8482 without a remainder.

1,2,4241,8482

Factors of 8450

List of positive integer factors of 8450 that divides 8450 without a remainder.

1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450

Greatest Common Factor

We found the factors 8482,8450 . The biggest common factor number is the GCF number.
So the greatest common factor 8482,8450 is 2.

Lets's calculate LCM of 825,7667

11 825, 7667
75, 697

∴ So the LCM of the given numbers is 11 x 75 x 697 = 575025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/575025

Therefore, the GCF of Fractions 8482/825,8450/7667 is 2/575025

Least Common Multiple of 825,7667 with GCF Formula

Least Common Multiple of 825,7667 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 825,7667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,7667) = 11

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

GCF(825,7667) x common factors =11 x 1 = 11

LCM(825,7667) = ( 825 × 7667 ) / 11

LCM(825,7667) = 6325275 / 11

LCM(825,7667) = 575025


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8482/825, 8450/7667

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 8482/825, 8450/7667?

Answer: GCF of Numerators as per given numbers 8482/825, 8450/7667 is

GCF of Numerators i.e. for 8482,8450 is 2

LCM of denominators i.e. for 825,7667 is 575025.

Thus, GCF of Fractions is 2/575025.Finally, GCF of Fractions for 8482/825, 8450/7667 is 2/575025.