Greatest Common Factor of 210/428, 8414/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 210/428, 8414/536

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 210/428,8414/536

Given fractions are 210/428,8414/536

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 210,8414

Greatest Common Factor of Numerators i.e. GCF of 210,8414 is 14 .

LCM of Denominators means LCM of 428,536 as per the given fractions.

LCM of 428,536 is 57352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 210,8414

GCF of Fractions 210/428,8414/536 is 14/57352

2 210, 8414
7 105, 4207
15, 601

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

Greatest Common Factor of 210,8414 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,8414 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 8414

List of positive integer factors of 8414 that divides 8414 without a remainder.

1,2,7,14,601,1202,4207,8414

Greatest Common Factor

We found the factors 210,8414 . The biggest common factor number is the GCF number.
So the greatest common factor 210,8414 is 14.

Lets's calculate LCM of 428,536

2 428, 536
2 214, 268
107, 134

∴ So the LCM of the given numbers is 2 x 2 x 107 x 134 = 57352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/57352

Therefore, the GCF of Fractions 210/428,8414/536 is 14/57352

Least Common Multiple of 428,536 with GCF Formula

Least Common Multiple of 428,536 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 428,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,536) = 4

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

GCF(428,536) x common factors =4 x 1 = 4

LCM(428,536) = ( 428 × 536 ) / 4

LCM(428,536) = 229408 / 4

LCM(428,536) = 57352


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 210/428, 8414/536

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 210/428, 8414/536?

Answer: GCF of Numerators as per given numbers 210/428, 8414/536 is

GCF of Numerators i.e. for 210,8414 is 14

LCM of denominators i.e. for 428,536 is 57352.

Thus, GCF of Fractions is 14/57352.Finally, GCF of Fractions for 210/428, 8414/536 is 14/57352.