Greatest Common Factor of 85/63, 63/61, 142/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/63, 63/61, 142/882

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 85/63,63/61,142/882

Given fractions are 85/63,63/61,142/882

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 85,63,142

Greatest Common Factor of Numerators i.e. GCF of 85,63,142 is 1 .

LCM of Denominators means LCM of 63,61,882 as per the given fractions.

LCM of 63,61,882 is 53802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,63,142

GCF of Fractions 85/63,63/61,142/882 is 1/53802

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

Greatest Common Factor of 85,63,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,63,142 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 63

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

1,3,7,9,21,63

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 85,63,142 . The biggest common factor number is the GCF number.
So the greatest common factor 85,63,142 is 1.

Lets's calculate LCM of 63,61,882

3 63, 61, 882
3 21, 61, 294
7 7, 61, 98
1, 61, 14

∴ So the LCM of the given numbers is 3 x 3 x 7 x 1 x 61 x 14 = 53802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53802

Therefore, the GCF of Fractions 85/63,63/61,142/882 is 1/53802

Least Common Multiple of 63,61,882 with GCF Formula

Least Common Multiple of 63,61,882 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 63,61,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,61,882) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(63,61,882) x common factors =1 x 63 = 63

LCM(63,61,882) = ( 63 × 61 × 882 ) / 63

LCM(63,61,882) = 3389526 / 63

LCM(63,61,882) = 53802


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 85/63, 63/61, 142/882

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 85/63, 63/61, 142/882?

Answer: GCF of Numerators as per given numbers 85/63, 63/61, 142/882 is

GCF of Numerators i.e. for 85,63,142 is 1

LCM of denominators i.e. for 63,61,882 is 53802.

Thus, GCF of Fractions is 1/53802.Finally, GCF of Fractions for 85/63, 63/61, 142/882 is 1/53802.