Greatest Common Factor of 895/60, 427/21, 887/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 895/60, 427/21, 887/838

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 895/60,427/21,887/838

Given fractions are 895/60,427/21,887/838

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 895,427,887

Greatest Common Factor of Numerators i.e. GCF of 895,427,887 is 1 .

LCM of Denominators means LCM of 60,21,838 as per the given fractions.

LCM of 60,21,838 is 175980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 895,427,887

GCF of Fractions 895/60,427/21,887/838 is 1/175980

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

Greatest Common Factor of 895,427,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,427,887 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 895,427,887 . The biggest common factor number is the GCF number.
So the greatest common factor 895,427,887 is 1.

Lets's calculate LCM of 60,21,838

2 60, 21, 838
3 30, 21, 419
10, 7, 419

∴ So the LCM of the given numbers is 2 x 3 x 10 x 7 x 419 = 175980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175980

Therefore, the GCF of Fractions 895/60,427/21,887/838 is 1/175980

Least Common Multiple of 60,21,838 with GCF Formula

Least Common Multiple of 60,21,838 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 60,21,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,21,838) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,21,838) x common factors =1 x 6 = 6

LCM(60,21,838) = ( 60 × 21 × 838 ) / 6

LCM(60,21,838) = 1055880 / 6

LCM(60,21,838) = 175980


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 895/60, 427/21, 887/838

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 895/60, 427/21, 887/838?

Answer: GCF of Numerators as per given numbers 895/60, 427/21, 887/838 is

GCF of Numerators i.e. for 895,427,887 is 1

LCM of denominators i.e. for 60,21,838 is 175980.

Thus, GCF of Fractions is 1/175980.Finally, GCF of Fractions for 895/60, 427/21, 887/838 is 1/175980.