Greatest Common Factor of 407/676, 4144/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/676, 4144/169

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 407/676,4144/169

Given fractions are 407/676,4144/169

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 407,4144

Greatest Common Factor of Numerators i.e. GCF of 407,4144 is 37 .

LCM of Denominators means LCM of 676,169 as per the given fractions.

LCM of 676,169 is 676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,4144

GCF of Fractions 407/676,4144/169 is 37/676

37 407, 4144
11, 112

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 407,4144 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,4144 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144

Greatest Common Factor

We found the factors 407,4144 . The biggest common factor number is the GCF number.
So the greatest common factor 407,4144 is 37.

Lets's calculate LCM of 676,169

13 676, 169
13 52, 13
4, 1

∴ So the LCM of the given numbers is 13 x 13 x 4 x 1 = 676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/676

Therefore, the GCF of Fractions 407/676,4144/169 is 37/676

Least Common Multiple of 676,169 with GCF Formula

Least Common Multiple of 676,169 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 676,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,169) = 169

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

GCF(676,169) x common factors =169 x 1 = 169

LCM(676,169) = ( 676 × 169 ) / 169

LCM(676,169) = 114244 / 169

LCM(676,169) = 676


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 407/676, 4144/169

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 407/676, 4144/169?

Answer: GCF of Numerators as per given numbers 407/676, 4144/169 is

GCF of Numerators i.e. for 407,4144 is 37

LCM of denominators i.e. for 676,169 is 676.

Thus, GCF of Fractions is 37/676.Finally, GCF of Fractions for 407/676, 4144/169 is 37/676.