Greatest Common Factor of 770/65, 580/53, 564/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 770/65, 580/53, 564/200

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 770/65,580/53,564/200

Given fractions are 770/65,580/53,564/200

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 770,580,564

Greatest Common Factor of Numerators i.e. GCF of 770,580,564 is 2 .

LCM of Denominators means LCM of 65,53,200 as per the given fractions.

LCM of 65,53,200 is 137800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 770,580,564

GCF of Fractions 770/65,580/53,564/200 is 2/137800

2 770, 580, 564
385, 290, 282

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

Greatest Common Factor of 770,580,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,580,564 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 770,580,564 . The biggest common factor number is the GCF number.
So the greatest common factor 770,580,564 is 2.

Lets's calculate LCM of 65,53,200

5 65, 53, 200
13, 53, 40

∴ So the LCM of the given numbers is 5 x 13 x 53 x 40 = 137800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137800

Therefore, the GCF of Fractions 770/65,580/53,564/200 is 2/137800

Least Common Multiple of 65,53,200 with GCF Formula

Least Common Multiple of 65,53,200 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 65,53,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,53,200) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,53,200) x common factors =1 x 5 = 5

LCM(65,53,200) = ( 65 × 53 × 200 ) / 5

LCM(65,53,200) = 689000 / 5

LCM(65,53,200) = 137800


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 770/65, 580/53, 564/200

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 770/65, 580/53, 564/200?

Answer: GCF of Numerators as per given numbers 770/65, 580/53, 564/200 is

GCF of Numerators i.e. for 770,580,564 is 2

LCM of denominators i.e. for 65,53,200 is 137800.

Thus, GCF of Fractions is 2/137800.Finally, GCF of Fractions for 770/65, 580/53, 564/200 is 2/137800.