Greatest Common Factor of 4/34, 87/22, 35/255, 252/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/34, 87/22, 35/255, 252/517

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 4/34,87/22,35/255,252/517

Given fractions are 4/34,87/22,35/255,252/517

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 4,87,35,252

Greatest Common Factor of Numerators i.e. GCF of 4,87,35,252 is 1 .

LCM of Denominators means LCM of 34,22,255,517 as per the given fractions.

LCM of 34,22,255,517 is 263670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,87,35,252

GCF of Fractions 4/34,87/22,35/255,252/517 is 1/263670

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

Greatest Common Factor of 4,87,35,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,87,35,252 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 4,87,35,252 . The biggest common factor number is the GCF number.
So the greatest common factor 4,87,35,252 is 1.

Lets's calculate LCM of 34,22,255,517

2 34, 22, 255, 517
11 17, 11, 255, 517
17 17, 1, 255, 47
1, 1, 15, 47

∴ So the LCM of the given numbers is 2 x 11 x 17 x 1 x 1 x 15 x 47 = 263670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263670

Therefore, the GCF of Fractions 4/34,87/22,35/255,252/517 is 1/263670

Least Common Multiple of 34,22,255,517 with GCF Formula

Least Common Multiple of 34,22,255,517 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 34,22,255,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,22,255,517) = 1

common factors(in case of two or more numbers have common factors) = 374

GCF(34,22,255,517) x common factors =1 x 374 = 374

LCM(34,22,255,517) = ( 34 × 22 × 255 × 517 ) / 374

LCM(34,22,255,517) = 98612580 / 374

LCM(34,22,255,517) = 263670


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 4/34, 87/22, 35/255, 252/517

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 4/34, 87/22, 35/255, 252/517?

Answer: GCF of Numerators as per given numbers 4/34, 87/22, 35/255, 252/517 is

GCF of Numerators i.e. for 4,87,35,252 is 1

LCM of denominators i.e. for 34,22,255,517 is 263670.

Thus, GCF of Fractions is 1/263670.Finally, GCF of Fractions for 4/34, 87/22, 35/255, 252/517 is 1/263670.