Greatest Common Factor of 469/172, 5138/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/172, 5138/870

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 469/172,5138/870

Given fractions are 469/172,5138/870

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 469,5138

Greatest Common Factor of Numerators i.e. GCF of 469,5138 is 7 .

LCM of Denominators means LCM of 172,870 as per the given fractions.

LCM of 172,870 is 74820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,5138

GCF of Fractions 469/172,5138/870 is 7/74820

7 469, 5138
67, 734

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 469,5138 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,5138 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1,2,7,14,367,734,2569,5138

Greatest Common Factor

We found the factors 469,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 469,5138 is 7.

Lets's calculate LCM of 172,870

2 172, 870
86, 435

∴ So the LCM of the given numbers is 2 x 86 x 435 = 74820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/74820

Therefore, the GCF of Fractions 469/172,5138/870 is 7/74820

Least Common Multiple of 172,870 with GCF Formula

Least Common Multiple of 172,870 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 172,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,870) = 2

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

GCF(172,870) x common factors =2 x 1 = 2

LCM(172,870) = ( 172 × 870 ) / 2

LCM(172,870) = 149640 / 2

LCM(172,870) = 74820


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 469/172, 5138/870

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 469/172, 5138/870?

Answer: GCF of Numerators as per given numbers 469/172, 5138/870 is

GCF of Numerators i.e. for 469,5138 is 7

LCM of denominators i.e. for 172,870 is 74820.

Thus, GCF of Fractions is 7/74820.Finally, GCF of Fractions for 469/172, 5138/870 is 7/74820.