Greatest Common Factor of 482/535, 1600/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 482/535, 1600/765

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 482/535,1600/765

Given fractions are 482/535,1600/765

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 482,1600

Greatest Common Factor of Numerators i.e. GCF of 482,1600 is 2 .

LCM of Denominators means LCM of 535,765 as per the given fractions.

LCM of 535,765 is 81855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 482,1600

GCF of Fractions 482/535,1600/765 is 2/81855

2 482, 1600
241, 800

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 482,1600 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,1600 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600

Greatest Common Factor

We found the factors 482,1600 . The biggest common factor number is the GCF number.
So the greatest common factor 482,1600 is 2.

Lets's calculate LCM of 535,765

5 535, 765
107, 153

∴ So the LCM of the given numbers is 5 x 107 x 153 = 81855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81855

Therefore, the GCF of Fractions 482/535,1600/765 is 2/81855

Least Common Multiple of 535,765 with GCF Formula

Least Common Multiple of 535,765 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 535,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,765) = 5

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

GCF(535,765) x common factors =5 x 1 = 5

LCM(535,765) = ( 535 × 765 ) / 5

LCM(535,765) = 409275 / 5

LCM(535,765) = 81855


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 482/535, 1600/765

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 482/535, 1600/765?

Answer: GCF of Numerators as per given numbers 482/535, 1600/765 is

GCF of Numerators i.e. for 482,1600 is 2

LCM of denominators i.e. for 535,765 is 81855.

Thus, GCF of Fractions is 2/81855.Finally, GCF of Fractions for 482/535, 1600/765 is 2/81855.