Greatest Common Factor of 34/556, 882/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/556, 882/143

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 34/556,882/143

Given fractions are 34/556,882/143

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 34,882

Greatest Common Factor of Numerators i.e. GCF of 34,882 is 2 .

LCM of Denominators means LCM of 556,143 as per the given fractions.

LCM of 556,143 is 79508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,882

GCF of Fractions 34/556,882/143 is 2/79508

2 34, 882
17, 441

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

Greatest Common Factor of 34,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,882 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 34,882 . The biggest common factor number is the GCF number.
So the greatest common factor 34,882 is 2.

Lets's calculate LCM of 556,143

Given numbers has no common factors except 1. So, there LCM is their product i.e 79508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79508

Therefore, the GCF of Fractions 34/556,882/143 is 2/79508

Least Common Multiple of 556,143 with GCF Formula

Least Common Multiple of 556,143 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 556,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,143) = 1

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

GCF(556,143) x common factors =1 x 1 = 1

LCM(556,143) = ( 556 × 143 ) / 1

LCM(556,143) = 79508 / 1

LCM(556,143) = 79508


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 34/556, 882/143

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 34/556, 882/143?

Answer: GCF of Numerators as per given numbers 34/556, 882/143 is

GCF of Numerators i.e. for 34,882 is 2

LCM of denominators i.e. for 556,143 is 79508.

Thus, GCF of Fractions is 2/79508.Finally, GCF of Fractions for 34/556, 882/143 is 2/79508.