Greatest Common Factor of 8/83, 30/36, 34/629, 498/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/83, 30/36, 34/629, 498/650

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 8/83,30/36,34/629,498/650

Given fractions are 8/83,30/36,34/629,498/650

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 8,30,34,498

Greatest Common Factor of Numerators i.e. GCF of 8,30,34,498 is 2 .

LCM of Denominators means LCM of 83,36,629,650 as per the given fractions.

LCM of 83,36,629,650 is 610821900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,30,34,498

GCF of Fractions 8/83,30/36,34/629,498/650 is 2/610821900

2 8, 30, 34, 498
4, 15, 17, 249

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

Greatest Common Factor of 8,30,34,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,30,34,498 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 34

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

1,2,17,34

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 8,30,34,498 . The biggest common factor number is the GCF number.
So the greatest common factor 8,30,34,498 is 2.

Lets's calculate LCM of 83,36,629,650

2 83, 36, 629, 650
83, 18, 629, 325

∴ So the LCM of the given numbers is 2 x 83 x 18 x 629 x 325 = 610821900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/610821900

Therefore, the GCF of Fractions 8/83,30/36,34/629,498/650 is 2/610821900

Least Common Multiple of 83,36,629,650 with GCF Formula

Least Common Multiple of 83,36,629,650 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 83,36,629,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,36,629,650) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,36,629,650) x common factors =1 x 2 = 2

LCM(83,36,629,650) = ( 83 × 36 × 629 × 650 ) / 2

LCM(83,36,629,650) = 1221643800 / 2

LCM(83,36,629,650) = 610821900


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 8/83, 30/36, 34/629, 498/650

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 8/83, 30/36, 34/629, 498/650?

Answer: GCF of Numerators as per given numbers 8/83, 30/36, 34/629, 498/650 is

GCF of Numerators i.e. for 8,30,34,498 is 2

LCM of denominators i.e. for 83,36,629,650 is 610821900.

Thus, GCF of Fractions is 2/610821900.Finally, GCF of Fractions for 8/83, 30/36, 34/629, 498/650 is 2/610821900.