Greatest Common Factor of 34/472, 425/531, 661/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/472, 425/531, 661/153

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 34/472,425/531,661/153

Given fractions are 34/472,425/531,661/153

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 34,425,661

Greatest Common Factor of Numerators i.e. GCF of 34,425,661 is 1 .

LCM of Denominators means LCM of 472,531,153 as per the given fractions.

LCM of 472,531,153 is 72216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,425,661

GCF of Fractions 34/472,425/531,661/153 is 1/72216

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 34,425,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,425,661 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 34,425,661 . The biggest common factor number is the GCF number.
So the greatest common factor 34,425,661 is 1.

Lets's calculate LCM of 472,531,153

3 472, 531, 153
3 472, 177, 51
59 472, 59, 17
8, 1, 17

∴ So the LCM of the given numbers is 3 x 3 x 59 x 8 x 1 x 17 = 72216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72216

Therefore, the GCF of Fractions 34/472,425/531,661/153 is 1/72216

Least Common Multiple of 472,531,153 with GCF Formula

Least Common Multiple of 472,531,153 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 472,531,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,531,153) = 1

common factors(in case of two or more numbers have common factors) = 531

GCF(472,531,153) x common factors =1 x 531 = 531

LCM(472,531,153) = ( 472 × 531 × 153 ) / 531

LCM(472,531,153) = 38346696 / 531

LCM(472,531,153) = 72216


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 34/472, 425/531, 661/153

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 34/472, 425/531, 661/153?

Answer: GCF of Numerators as per given numbers 34/472, 425/531, 661/153 is

GCF of Numerators i.e. for 34,425,661 is 1

LCM of denominators i.e. for 472,531,153 is 72216.

Thus, GCF of Fractions is 1/72216.Finally, GCF of Fractions for 34/472, 425/531, 661/153 is 1/72216.