Greatest Common Factor of 1414/236, 2170/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1414/236, 2170/854

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 1414/236,2170/854

Given fractions are 1414/236,2170/854

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 1414,2170

Greatest Common Factor of Numerators i.e. GCF of 1414,2170 is 14 .

LCM of Denominators means LCM of 236,854 as per the given fractions.

LCM of 236,854 is 100772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1414,2170

GCF of Fractions 1414/236,2170/854 is 14/100772

2 1414, 2170
7 707, 1085
101, 155

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

Greatest Common Factor of 1414,2170 By Matching Biggest Common Factor Method

Greatest Common Factor of 1414,2170 By Matching Biggest Common Factor Method

Factors of 1414

List of positive integer factors of 1414 that divides 1414 without a remainder.

1,2,7,14,101,202,707,1414

Factors of 2170

List of positive integer factors of 2170 that divides 2170 without a remainder.

1,2,5,7,10,14,31,35,62,70,155,217,310,434,1085,2170

Greatest Common Factor

We found the factors 1414,2170 . The biggest common factor number is the GCF number.
So the greatest common factor 1414,2170 is 14.

Lets's calculate LCM of 236,854

2 236, 854
118, 427

∴ So the LCM of the given numbers is 2 x 118 x 427 = 100772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/100772

Therefore, the GCF of Fractions 1414/236,2170/854 is 14/100772

Least Common Multiple of 236,854 with GCF Formula

Least Common Multiple of 236,854 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 236,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,854) = 2

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

GCF(236,854) x common factors =2 x 1 = 2

LCM(236,854) = ( 236 × 854 ) / 2

LCM(236,854) = 201544 / 2

LCM(236,854) = 100772


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 1414/236, 2170/854

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 1414/236, 2170/854?

Answer: GCF of Numerators as per given numbers 1414/236, 2170/854 is

GCF of Numerators i.e. for 1414,2170 is 14

LCM of denominators i.e. for 236,854 is 100772.

Thus, GCF of Fractions is 14/100772.Finally, GCF of Fractions for 1414/236, 2170/854 is 14/100772.