Greatest Common Factor of 450/494, 826/799, 745/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/494, 826/799, 745/932

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 450/494,826/799,745/932

Given fractions are 450/494,826/799,745/932

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 450,826,745

Greatest Common Factor of Numerators i.e. GCF of 450,826,745 is 1 .

LCM of Denominators means LCM of 494,799,932 as per the given fractions.

LCM of 494,799,932 is 183932996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,826,745

GCF of Fractions 450/494,826/799,745/932 is 1/183932996

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

Greatest Common Factor of 450,826,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,826,745 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 450,826,745 . The biggest common factor number is the GCF number.
So the greatest common factor 450,826,745 is 1.

Lets's calculate LCM of 494,799,932

2 494, 799, 932
247, 799, 466

∴ So the LCM of the given numbers is 2 x 247 x 799 x 466 = 183932996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183932996

Therefore, the GCF of Fractions 450/494,826/799,745/932 is 1/183932996

Least Common Multiple of 494,799,932 with GCF Formula

Least Common Multiple of 494,799,932 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 494,799,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,799,932) = 1

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

GCF(494,799,932) x common factors =1 x 2 = 2

LCM(494,799,932) = ( 494 × 799 × 932 ) / 2

LCM(494,799,932) = 367865992 / 2

LCM(494,799,932) = 183932996


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 450/494, 826/799, 745/932

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 450/494, 826/799, 745/932?

Answer: GCF of Numerators as per given numbers 450/494, 826/799, 745/932 is

GCF of Numerators i.e. for 450,826,745 is 1

LCM of denominators i.e. for 494,799,932 is 183932996.

Thus, GCF of Fractions is 1/183932996.Finally, GCF of Fractions for 450/494, 826/799, 745/932 is 1/183932996.