Greatest Common Factor of 552/508, 6408/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/508, 6408/827

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 552/508,6408/827

Given fractions are 552/508,6408/827

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 552,6408

Greatest Common Factor of Numerators i.e. GCF of 552,6408 is 24 .

LCM of Denominators means LCM of 508,827 as per the given fractions.

LCM of 508,827 is 420116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,6408

GCF of Fractions 552/508,6408/827 is 24/420116

2 552, 6408
2 276, 3204
2 138, 1602
3 69, 801
23, 267

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 552,6408 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,6408 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 6408

List of positive integer factors of 6408 that divides 6408 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,89,178,267,356,534,712,801,1068,1602,2136,3204,6408

Greatest Common Factor

We found the factors 552,6408 . The biggest common factor number is the GCF number.
So the greatest common factor 552,6408 is 24.

Lets's calculate LCM of 508,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 420116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/420116

Therefore, the GCF of Fractions 552/508,6408/827 is 24/420116

Least Common Multiple of 508,827 with GCF Formula

Least Common Multiple of 508,827 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 508,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,827) = 1

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

GCF(508,827) x common factors =1 x 1 = 1

LCM(508,827) = ( 508 × 827 ) / 1

LCM(508,827) = 420116 / 1

LCM(508,827) = 420116


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 552/508, 6408/827

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 552/508, 6408/827?

Answer: GCF of Numerators as per given numbers 552/508, 6408/827 is

GCF of Numerators i.e. for 552,6408 is 24

LCM of denominators i.e. for 508,827 is 420116.

Thus, GCF of Fractions is 24/420116.Finally, GCF of Fractions for 552/508, 6408/827 is 24/420116.