Greatest Common Factor of 4208/614, 4344/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4208/614, 4344/364

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 4208/614,4344/364

Given fractions are 4208/614,4344/364

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 4208,4344

Greatest Common Factor of Numerators i.e. GCF of 4208,4344 is 8 .

LCM of Denominators means LCM of 614,364 as per the given fractions.

LCM of 614,364 is 111748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4208,4344

GCF of Fractions 4208/614,4344/364 is 8/111748

2 4208, 4344
2 2104, 2172
2 1052, 1086
526, 543

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4208,4344 By Matching Biggest Common Factor Method

Greatest Common Factor of 4208,4344 By Matching Biggest Common Factor Method

Factors of 4208

List of positive integer factors of 4208 that divides 4208 without a remainder.

1,2,4,8,16,263,526,1052,2104,4208

Factors of 4344

List of positive integer factors of 4344 that divides 4344 without a remainder.

1,2,3,4,6,8,12,24,181,362,543,724,1086,1448,2172,4344

Greatest Common Factor

We found the factors 4208,4344 . The biggest common factor number is the GCF number.
So the greatest common factor 4208,4344 is 8.

Lets's calculate LCM of 614,364

2 614, 364
307, 182

∴ So the LCM of the given numbers is 2 x 307 x 182 = 111748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/111748

Therefore, the GCF of Fractions 4208/614,4344/364 is 8/111748

Least Common Multiple of 614,364 with GCF Formula

Least Common Multiple of 614,364 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 614,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,364) = 2

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

GCF(614,364) x common factors =2 x 1 = 2

LCM(614,364) = ( 614 × 364 ) / 2

LCM(614,364) = 223496 / 2

LCM(614,364) = 111748


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 4208/614, 4344/364

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 4208/614, 4344/364?

Answer: GCF of Numerators as per given numbers 4208/614, 4344/364 is

GCF of Numerators i.e. for 4208,4344 is 8

LCM of denominators i.e. for 614,364 is 111748.

Thus, GCF of Fractions is 8/111748.Finally, GCF of Fractions for 4208/614, 4344/364 is 8/111748.