Greatest Common Factor of 200/35, 340/76, 554/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/35, 340/76, 554/52

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 200/35,340/76,554/52

Given fractions are 200/35,340/76,554/52

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 200,340,554

Greatest Common Factor of Numerators i.e. GCF of 200,340,554 is 2 .

LCM of Denominators means LCM of 35,76,52 as per the given fractions.

LCM of 35,76,52 is 34580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,340,554

GCF of Fractions 200/35,340/76,554/52 is 2/34580

2 200, 340, 554
100, 170, 277

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

Greatest Common Factor of 200,340,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,340,554 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 200,340,554 . The biggest common factor number is the GCF number.
So the greatest common factor 200,340,554 is 2.

Lets's calculate LCM of 35,76,52

2 35, 76, 52
2 35, 38, 26
35, 19, 13

∴ So the LCM of the given numbers is 2 x 2 x 35 x 19 x 13 = 34580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34580

Therefore, the GCF of Fractions 200/35,340/76,554/52 is 2/34580

Least Common Multiple of 35,76,52 with GCF Formula

Least Common Multiple of 35,76,52 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 35,76,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,76,52) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(35,76,52) x common factors =1 x 4 = 4

LCM(35,76,52) = ( 35 × 76 × 52 ) / 4

LCM(35,76,52) = 138320 / 4

LCM(35,76,52) = 34580


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 200/35, 340/76, 554/52

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 200/35, 340/76, 554/52?

Answer: GCF of Numerators as per given numbers 200/35, 340/76, 554/52 is

GCF of Numerators i.e. for 200,340,554 is 2

LCM of denominators i.e. for 35,76,52 is 34580.

Thus, GCF of Fractions is 2/34580.Finally, GCF of Fractions for 200/35, 340/76, 554/52 is 2/34580.