Greatest Common Factor of 889/28, 112/22, 702/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 889/28, 112/22, 702/340

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 889/28,112/22,702/340

Given fractions are 889/28,112/22,702/340

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 889,112,702

Greatest Common Factor of Numerators i.e. GCF of 889,112,702 is 1 .

LCM of Denominators means LCM of 28,22,340 as per the given fractions.

LCM of 28,22,340 is 26180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 889,112,702

GCF of Fractions 889/28,112/22,702/340 is 1/26180

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

Greatest Common Factor of 889,112,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,112,702 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 889,112,702 . The biggest common factor number is the GCF number.
So the greatest common factor 889,112,702 is 1.

Lets's calculate LCM of 28,22,340

2 28, 22, 340
2 14, 11, 170
7, 11, 85

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 85 = 26180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26180

Therefore, the GCF of Fractions 889/28,112/22,702/340 is 1/26180

Least Common Multiple of 28,22,340 with GCF Formula

Least Common Multiple of 28,22,340 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 28,22,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,22,340) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(28,22,340) x common factors =2 x 4 = 8

LCM(28,22,340) = ( 28 × 22 × 340 ) / 8

LCM(28,22,340) = 209440 / 8

LCM(28,22,340) = 26180


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 889/28, 112/22, 702/340

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 889/28, 112/22, 702/340?

Answer: GCF of Numerators as per given numbers 889/28, 112/22, 702/340 is

GCF of Numerators i.e. for 889,112,702 is 1

LCM of denominators i.e. for 28,22,340 is 26180.

Thus, GCF of Fractions is 1/26180.Finally, GCF of Fractions for 889/28, 112/22, 702/340 is 1/26180.