Greatest Common Factor of 8124/469, 7064/1084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8124/469, 7064/1084

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 8124/469,7064/1084

Given fractions are 8124/469,7064/1084

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 8124,7064

Greatest Common Factor of Numerators i.e. GCF of 8124,7064 is 4 .

LCM of Denominators means LCM of 469,1084 as per the given fractions.

LCM of 469,1084 is 508396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8124,7064

GCF of Fractions 8124/469,7064/1084 is 4/508396

2 8124, 7064
2 4062, 3532
2031, 1766

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8124,7064 By Matching Biggest Common Factor Method

Greatest Common Factor of 8124,7064 By Matching Biggest Common Factor Method

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Factors of 7064

List of positive integer factors of 7064 that divides 7064 without a remainder.

1,2,4,8,883,1766,3532,7064

Greatest Common Factor

We found the factors 8124,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 8124,7064 is 4.

Lets's calculate LCM of 469,1084

Given numbers has no common factors except 1. So, there LCM is their product i.e 508396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/508396

Therefore, the GCF of Fractions 8124/469,7064/1084 is 4/508396

Least Common Multiple of 469,1084 with GCF Formula

Least Common Multiple of 469,1084 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 469,1084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,1084) = 1

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

GCF(469,1084) x common factors =1 x 1 = 1

LCM(469,1084) = ( 469 × 1084 ) / 1

LCM(469,1084) = 508396 / 1

LCM(469,1084) = 508396


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 8124/469, 7064/1084

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 8124/469, 7064/1084?

Answer: GCF of Numerators as per given numbers 8124/469, 7064/1084 is

GCF of Numerators i.e. for 8124,7064 is 4

LCM of denominators i.e. for 469,1084 is 508396.

Thus, GCF of Fractions is 4/508396.Finally, GCF of Fractions for 8124/469, 7064/1084 is 4/508396.