Greatest Common Factor of 452/987, 651/562, 584/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 452/987, 651/562, 584/595

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 452/987,651/562,584/595

Given fractions are 452/987,651/562,584/595

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 452,651,584

Greatest Common Factor of Numerators i.e. GCF of 452,651,584 is 1 .

LCM of Denominators means LCM of 987,562,595 as per the given fractions.

LCM of 987,562,595 is 47148990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 452,651,584

GCF of Fractions 452/987,651/562,584/595 is 1/47148990

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

Greatest Common Factor of 452,651,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,651,584 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 452,651,584 . The biggest common factor number is the GCF number.
So the greatest common factor 452,651,584 is 1.

Lets's calculate LCM of 987,562,595

7 987, 562, 595
141, 562, 85

∴ So the LCM of the given numbers is 7 x 141 x 562 x 85 = 47148990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47148990

Therefore, the GCF of Fractions 452/987,651/562,584/595 is 1/47148990

Least Common Multiple of 987,562,595 with GCF Formula

Least Common Multiple of 987,562,595 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 987,562,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,562,595) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(987,562,595) x common factors =1 x 7 = 7

LCM(987,562,595) = ( 987 × 562 × 595 ) / 7

LCM(987,562,595) = 330042930 / 7

LCM(987,562,595) = 47148990


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 452/987, 651/562, 584/595

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 452/987, 651/562, 584/595?

Answer: GCF of Numerators as per given numbers 452/987, 651/562, 584/595 is

GCF of Numerators i.e. for 452,651,584 is 1

LCM of denominators i.e. for 987,562,595 is 47148990.

Thus, GCF of Fractions is 1/47148990.Finally, GCF of Fractions for 452/987, 651/562, 584/595 is 1/47148990.