Greatest Common Factor of 5/87, 63/42, 37/424, 569/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/87, 63/42, 37/424, 569/412

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 5/87,63/42,37/424,569/412

Given fractions are 5/87,63/42,37/424,569/412

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 5,63,37,569

Greatest Common Factor of Numerators i.e. GCF of 5,63,37,569 is 1 .

LCM of Denominators means LCM of 87,42,424,412 as per the given fractions.

LCM of 87,42,424,412 is 26596248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,63,37,569

GCF of Fractions 5/87,63/42,37/424,569/412 is 1/26596248

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

Greatest Common Factor of 5,63,37,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,63,37,569 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 5,63,37,569 . The biggest common factor number is the GCF number.
So the greatest common factor 5,63,37,569 is 1.

Lets's calculate LCM of 87,42,424,412

2 87, 42, 424, 412
2 87, 21, 212, 206
3 87, 21, 106, 103
29, 7, 106, 103

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 7 x 106 x 103 = 26596248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26596248

Therefore, the GCF of Fractions 5/87,63/42,37/424,569/412 is 1/26596248

Least Common Multiple of 87,42,424,412 with GCF Formula

Least Common Multiple of 87,42,424,412 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 87,42,424,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,42,424,412) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(87,42,424,412) x common factors =1 x 24 = 24

LCM(87,42,424,412) = ( 87 × 42 × 424 × 412 ) / 24

LCM(87,42,424,412) = 638309952 / 24

LCM(87,42,424,412) = 26596248


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 5/87, 63/42, 37/424, 569/412

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 5/87, 63/42, 37/424, 569/412?

Answer: GCF of Numerators as per given numbers 5/87, 63/42, 37/424, 569/412 is

GCF of Numerators i.e. for 5,63,37,569 is 1

LCM of denominators i.e. for 87,42,424,412 is 26596248.

Thus, GCF of Fractions is 1/26596248.Finally, GCF of Fractions for 5/87, 63/42, 37/424, 569/412 is 1/26596248.