Greatest Common Factor of 348/45, 667/52, 870/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 348/45, 667/52, 870/81

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 348/45,667/52,870/81

Given fractions are 348/45,667/52,870/81

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 348,667,870

Greatest Common Factor of Numerators i.e. GCF of 348,667,870 is 29 .

LCM of Denominators means LCM of 45,52,81 as per the given fractions.

LCM of 45,52,81 is 21060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 348,667,870

GCF of Fractions 348/45,667/52,870/81 is 29/21060

29 348, 667, 870
12, 23, 30

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 348,667,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,667,870 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 348,667,870 . The biggest common factor number is the GCF number.
So the greatest common factor 348,667,870 is 29.

Lets's calculate LCM of 45,52,81

3 45, 52, 81
3 15, 52, 27
5, 52, 9

∴ So the LCM of the given numbers is 3 x 3 x 5 x 52 x 9 = 21060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/21060

Therefore, the GCF of Fractions 348/45,667/52,870/81 is 29/21060

Least Common Multiple of 45,52,81 with GCF Formula

Least Common Multiple of 45,52,81 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 45,52,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,52,81) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(45,52,81) x common factors =1 x 9 = 9

LCM(45,52,81) = ( 45 × 52 × 81 ) / 9

LCM(45,52,81) = 189540 / 9

LCM(45,52,81) = 21060


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 348/45, 667/52, 870/81

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 348/45, 667/52, 870/81?

Answer: GCF of Numerators as per given numbers 348/45, 667/52, 870/81 is

GCF of Numerators i.e. for 348,667,870 is 29

LCM of denominators i.e. for 45,52,81 is 21060.

Thus, GCF of Fractions is 29/21060.Finally, GCF of Fractions for 348/45, 667/52, 870/81 is 29/21060.