Greatest Common Factor of 655/68, 282/17, 105/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/68, 282/17, 105/53

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 655/68,282/17,105/53

Given fractions are 655/68,282/17,105/53

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 655,282,105

Greatest Common Factor of Numerators i.e. GCF of 655,282,105 is 1 .

LCM of Denominators means LCM of 68,17,53 as per the given fractions.

LCM of 68,17,53 is 3604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,282,105

GCF of Fractions 655/68,282/17,105/53 is 1/3604

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

Greatest Common Factor of 655,282,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,282,105 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 655,282,105 . The biggest common factor number is the GCF number.
So the greatest common factor 655,282,105 is 1.

Lets's calculate LCM of 68,17,53

17 68, 17, 53
4, 1, 53

∴ So the LCM of the given numbers is 17 x 4 x 1 x 53 = 3604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3604

Therefore, the GCF of Fractions 655/68,282/17,105/53 is 1/3604

Least Common Multiple of 68,17,53 with GCF Formula

Least Common Multiple of 68,17,53 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 68,17,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,17,53) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(68,17,53) x common factors =1 x 17 = 17

LCM(68,17,53) = ( 68 × 17 × 53 ) / 17

LCM(68,17,53) = 61268 / 17

LCM(68,17,53) = 3604


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 655/68, 282/17, 105/53

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 655/68, 282/17, 105/53?

Answer: GCF of Numerators as per given numbers 655/68, 282/17, 105/53 is

GCF of Numerators i.e. for 655,282,105 is 1

LCM of denominators i.e. for 68,17,53 is 3604.

Thus, GCF of Fractions is 1/3604.Finally, GCF of Fractions for 655/68, 282/17, 105/53 is 1/3604.