Greatest Common Factor of 467/282, 857/754, 798/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 467/282, 857/754, 798/106

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 467/282,857/754,798/106

Given fractions are 467/282,857/754,798/106

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 467,857,798

Greatest Common Factor of Numerators i.e. GCF of 467,857,798 is 1 .

LCM of Denominators means LCM of 282,754,106 as per the given fractions.

LCM of 282,754,106 is 5634642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 467,857,798

GCF of Fractions 467/282,857/754,798/106 is 1/5634642

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

Greatest Common Factor of 467,857,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,857,798 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 467,857,798 . The biggest common factor number is the GCF number.
So the greatest common factor 467,857,798 is 1.

Lets's calculate LCM of 282,754,106

2 282, 754, 106
141, 377, 53

∴ So the LCM of the given numbers is 2 x 141 x 377 x 53 = 5634642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5634642

Therefore, the GCF of Fractions 467/282,857/754,798/106 is 1/5634642

Least Common Multiple of 282,754,106 with GCF Formula

Least Common Multiple of 282,754,106 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 282,754,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,754,106) = 2

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

GCF(282,754,106) x common factors =2 x 2 = 4

LCM(282,754,106) = ( 282 × 754 × 106 ) / 4

LCM(282,754,106) = 22538568 / 4

LCM(282,754,106) = 5634642


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 467/282, 857/754, 798/106

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 467/282, 857/754, 798/106?

Answer: GCF of Numerators as per given numbers 467/282, 857/754, 798/106 is

GCF of Numerators i.e. for 467,857,798 is 1

LCM of denominators i.e. for 282,754,106 is 5634642.

Thus, GCF of Fractions is 1/5634642.Finally, GCF of Fractions for 467/282, 857/754, 798/106 is 1/5634642.