Greatest Common Factor of 887/16, 925/28, 746/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 887/16, 925/28, 746/712

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 887/16,925/28,746/712

Given fractions are 887/16,925/28,746/712

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 887,925,746

Greatest Common Factor of Numerators i.e. GCF of 887,925,746 is 1 .

LCM of Denominators means LCM of 16,28,712 as per the given fractions.

LCM of 16,28,712 is 9968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 887,925,746

GCF of Fractions 887/16,925/28,746/712 is 1/9968

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

Greatest Common Factor of 887,925,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,925,746 By Matching Biggest Common Factor Method

Factors of 887

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

1,887

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 887,925,746 . The biggest common factor number is the GCF number.
So the greatest common factor 887,925,746 is 1.

Lets's calculate LCM of 16,28,712

2 16, 28, 712
2 8, 14, 356
2 4, 7, 178
2, 7, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 89 = 9968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9968

Therefore, the GCF of Fractions 887/16,925/28,746/712 is 1/9968

Least Common Multiple of 16,28,712 with GCF Formula

Least Common Multiple of 16,28,712 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 16,28,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,28,712) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(16,28,712) x common factors =4 x 8 = 32

LCM(16,28,712) = ( 16 × 28 × 712 ) / 32

LCM(16,28,712) = 318976 / 32

LCM(16,28,712) = 9968


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 887/16, 925/28, 746/712

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 887/16, 925/28, 746/712?

Answer: GCF of Numerators as per given numbers 887/16, 925/28, 746/712 is

GCF of Numerators i.e. for 887,925,746 is 1

LCM of denominators i.e. for 16,28,712 is 9968.

Thus, GCF of Fractions is 1/9968.Finally, GCF of Fractions for 887/16, 925/28, 746/712 is 1/9968.