Greatest Common Factor of 210/112, 1288/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/112, 1288/586

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 210/112,1288/586

Given fractions are 210/112,1288/586

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 210,1288

Greatest Common Factor of Numerators i.e. GCF of 210,1288 is 14 .

LCM of Denominators means LCM of 112,586 as per the given fractions.

LCM of 112,586 is 32816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,1288

GCF of Fractions 210/112,1288/586 is 14/32816

2 210, 1288
7 105, 644
15, 92

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 210,1288 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,1288 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 1288

List of positive integer factors of 1288 that divides 1288 without a remainder.

1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288

Greatest Common Factor

We found the factors 210,1288 . The biggest common factor number is the GCF number.
So the greatest common factor 210,1288 is 14.

Lets's calculate LCM of 112,586

2 112, 586
56, 293

∴ So the LCM of the given numbers is 2 x 56 x 293 = 32816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/32816

Therefore, the GCF of Fractions 210/112,1288/586 is 14/32816

Least Common Multiple of 112,586 with GCF Formula

Least Common Multiple of 112,586 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 112,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,586) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(112,586) x common factors =2 x 1 = 2

LCM(112,586) = ( 112 × 586 ) / 2

LCM(112,586) = 65632 / 2

LCM(112,586) = 32816


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 210/112, 1288/586

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 210/112, 1288/586?

Answer: GCF of Numerators as per given numbers 210/112, 1288/586 is

GCF of Numerators i.e. for 210,1288 is 14

LCM of denominators i.e. for 112,586 is 32816.

Thus, GCF of Fractions is 14/32816.Finally, GCF of Fractions for 210/112, 1288/586 is 14/32816.