Greatest Common Factor of 803/42, 102/58, 359/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 803/42, 102/58, 359/75

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 803/42,102/58,359/75

Given fractions are 803/42,102/58,359/75

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 803,102,359

Greatest Common Factor of Numerators i.e. GCF of 803,102,359 is 1 .

LCM of Denominators means LCM of 42,58,75 as per the given fractions.

LCM of 42,58,75 is 30450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 803,102,359

GCF of Fractions 803/42,102/58,359/75 is 1/30450

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

Greatest Common Factor of 803,102,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,102,359 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 803,102,359 . The biggest common factor number is the GCF number.
So the greatest common factor 803,102,359 is 1.

Lets's calculate LCM of 42,58,75

2 42, 58, 75
3 21, 29, 75
7, 29, 25

∴ So the LCM of the given numbers is 2 x 3 x 7 x 29 x 25 = 30450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30450

Therefore, the GCF of Fractions 803/42,102/58,359/75 is 1/30450

Least Common Multiple of 42,58,75 with GCF Formula

Least Common Multiple of 42,58,75 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 42,58,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,58,75) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,58,75) x common factors =1 x 6 = 6

LCM(42,58,75) = ( 42 × 58 × 75 ) / 6

LCM(42,58,75) = 182700 / 6

LCM(42,58,75) = 30450


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 803/42, 102/58, 359/75

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 803/42, 102/58, 359/75?

Answer: GCF of Numerators as per given numbers 803/42, 102/58, 359/75 is

GCF of Numerators i.e. for 803,102,359 is 1

LCM of denominators i.e. for 42,58,75 is 30450.

Thus, GCF of Fractions is 1/30450.Finally, GCF of Fractions for 803/42, 102/58, 359/75 is 1/30450.