Greatest Common Factor of 552/975, 138/344, 471/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/975, 138/344, 471/416

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 552/975,138/344,471/416

Given fractions are 552/975,138/344,471/416

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 552,138,471

Greatest Common Factor of Numerators i.e. GCF of 552,138,471 is 3 .

LCM of Denominators means LCM of 975,344,416 as per the given fractions.

LCM of 975,344,416 is 1341600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,138,471

GCF of Fractions 552/975,138/344,471/416 is 3/1341600

3 552, 138, 471
184, 46, 157

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 552,138,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,138,471 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 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 552,138,471 . The biggest common factor number is the GCF number.
So the greatest common factor 552,138,471 is 3.

Lets's calculate LCM of 975,344,416

2 975, 344, 416
2 975, 172, 208
2 975, 86, 104
13 975, 43, 52
75, 43, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 75 x 43 x 4 = 1341600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1341600

Therefore, the GCF of Fractions 552/975,138/344,471/416 is 3/1341600

Least Common Multiple of 975,344,416 with GCF Formula

Least Common Multiple of 975,344,416 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 975,344,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,344,416) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(975,344,416) x common factors =1 x 104 = 104

LCM(975,344,416) = ( 975 × 344 × 416 ) / 104

LCM(975,344,416) = 139526400 / 104

LCM(975,344,416) = 1341600


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 552/975, 138/344, 471/416

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 552/975, 138/344, 471/416?

Answer: GCF of Numerators as per given numbers 552/975, 138/344, 471/416 is

GCF of Numerators i.e. for 552,138,471 is 3

LCM of denominators i.e. for 975,344,416 is 1341600.

Thus, GCF of Fractions is 3/1341600.Finally, GCF of Fractions for 552/975, 138/344, 471/416 is 3/1341600.