Greatest Common Factor of 208/29, 262/54, 552/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/29, 262/54, 552/857

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 208/29,262/54,552/857

Given fractions are 208/29,262/54,552/857

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 208,262,552

Greatest Common Factor of Numerators i.e. GCF of 208,262,552 is 2 .

LCM of Denominators means LCM of 29,54,857 as per the given fractions.

LCM of 29,54,857 is 1342062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,262,552

GCF of Fractions 208/29,262/54,552/857 is 2/1342062

2 208, 262, 552
104, 131, 276

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

Greatest Common Factor of 208,262,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,262,552 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 208,262,552 . The biggest common factor number is the GCF number.
So the greatest common factor 208,262,552 is 2.

Lets's calculate LCM of 29,54,857

Given numbers has no common factors except 1. So, there LCM is their product i.e 1342062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1342062

Therefore, the GCF of Fractions 208/29,262/54,552/857 is 2/1342062

Least Common Multiple of 29,54,857 with GCF Formula

Least Common Multiple of 29,54,857 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 29,54,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,54,857) = 1

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

GCF(29,54,857) x common factors =1 x 1 = 1

LCM(29,54,857) = ( 29 × 54 × 857 ) / 1

LCM(29,54,857) = 1342062 / 1

LCM(29,54,857) = 1342062


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 208/29, 262/54, 552/857

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 208/29, 262/54, 552/857?

Answer: GCF of Numerators as per given numbers 208/29, 262/54, 552/857 is

GCF of Numerators i.e. for 208,262,552 is 2

LCM of denominators i.e. for 29,54,857 is 1342062.

Thus, GCF of Fractions is 2/1342062.Finally, GCF of Fractions for 208/29, 262/54, 552/857 is 2/1342062.