Greatest Common Factor of 77/23, 870/48, 417/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/23, 870/48, 417/514

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 77/23,870/48,417/514

Given fractions are 77/23,870/48,417/514

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 77,870,417

Greatest Common Factor of Numerators i.e. GCF of 77,870,417 is 1 .

LCM of Denominators means LCM of 23,48,514 as per the given fractions.

LCM of 23,48,514 is 283728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,870,417

GCF of Fractions 77/23,870/48,417/514 is 1/283728

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 77,870,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,870,417 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

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

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 77,870,417 . The biggest common factor number is the GCF number.
So the greatest common factor 77,870,417 is 1.

Lets's calculate LCM of 23,48,514

2 23, 48, 514
23, 24, 257

∴ So the LCM of the given numbers is 2 x 23 x 24 x 257 = 283728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283728

Therefore, the GCF of Fractions 77/23,870/48,417/514 is 1/283728

Least Common Multiple of 23,48,514 with GCF Formula

Least Common Multiple of 23,48,514 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 23,48,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,48,514) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,48,514) x common factors =1 x 2 = 2

LCM(23,48,514) = ( 23 × 48 × 514 ) / 2

LCM(23,48,514) = 567456 / 2

LCM(23,48,514) = 283728


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 77/23, 870/48, 417/514

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 77/23, 870/48, 417/514?

Answer: GCF of Numerators as per given numbers 77/23, 870/48, 417/514 is

GCF of Numerators i.e. for 77,870,417 is 1

LCM of denominators i.e. for 23,48,514 is 283728.

Thus, GCF of Fractions is 1/283728.Finally, GCF of Fractions for 77/23, 870/48, 417/514 is 1/283728.