Greatest Common Factor of 433/680, 5232/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 433/680, 5232/765

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 433/680,5232/765

Given fractions are 433/680,5232/765

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 433,5232

Greatest Common Factor of Numerators i.e. GCF of 433,5232 is 1 .

LCM of Denominators means LCM of 680,765 as per the given fractions.

LCM of 680,765 is 6120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,5232

GCF of Fractions 433/680,5232/765 is 1/6120

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

Greatest Common Factor of 433,5232 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,5232 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232

Greatest Common Factor

We found the factors 433,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 433,5232 is 1.

Lets's calculate LCM of 680,765

5 680, 765
17 136, 153
8, 9

∴ So the LCM of the given numbers is 5 x 17 x 8 x 9 = 6120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6120

Therefore, the GCF of Fractions 433/680,5232/765 is 1/6120

Least Common Multiple of 680,765 with GCF Formula

Least Common Multiple of 680,765 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 680,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,765) = 85

common factors(in case of two or more numbers have common factors) = 1

GCF(680,765) x common factors =85 x 1 = 85

LCM(680,765) = ( 680 × 765 ) / 85

LCM(680,765) = 520200 / 85

LCM(680,765) = 6120


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 433/680, 5232/765

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 433/680, 5232/765?

Answer: GCF of Numerators as per given numbers 433/680, 5232/765 is

GCF of Numerators i.e. for 433,5232 is 1

LCM of denominators i.e. for 680,765 is 6120.

Thus, GCF of Fractions is 1/6120.Finally, GCF of Fractions for 433/680, 5232/765 is 1/6120.