Greatest Common Factor of 207/64, 428/74, 823/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 207/64, 428/74, 823/518

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 207/64,428/74,823/518

Given fractions are 207/64,428/74,823/518

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 207,428,823

Greatest Common Factor of Numerators i.e. GCF of 207,428,823 is 1 .

LCM of Denominators means LCM of 64,74,518 as per the given fractions.

LCM of 64,74,518 is 16576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 207,428,823

GCF of Fractions 207/64,428/74,823/518 is 1/16576

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

Greatest Common Factor of 207,428,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,428,823 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 207,428,823 . The biggest common factor number is the GCF number.
So the greatest common factor 207,428,823 is 1.

Lets's calculate LCM of 64,74,518

2 64, 74, 518
37 32, 37, 259
32, 1, 7

∴ So the LCM of the given numbers is 2 x 37 x 32 x 1 x 7 = 16576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16576

Therefore, the GCF of Fractions 207/64,428/74,823/518 is 1/16576

Least Common Multiple of 64,74,518 with GCF Formula

Least Common Multiple of 64,74,518 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 64,74,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,74,518) = 2

common factors(in case of two or more numbers have common factors) = 74

GCF(64,74,518) x common factors =2 x 74 = 148

LCM(64,74,518) = ( 64 × 74 × 518 ) / 148

LCM(64,74,518) = 2453248 / 148

LCM(64,74,518) = 16576


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 207/64, 428/74, 823/518

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 207/64, 428/74, 823/518?

Answer: GCF of Numerators as per given numbers 207/64, 428/74, 823/518 is

GCF of Numerators i.e. for 207,428,823 is 1

LCM of denominators i.e. for 64,74,518 is 16576.

Thus, GCF of Fractions is 1/16576.Finally, GCF of Fractions for 207/64, 428/74, 823/518 is 1/16576.