Greatest Common Factor of 9980/434, 1416/6034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9980/434, 1416/6034

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 9980/434,1416/6034

Given fractions are 9980/434,1416/6034

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 9980,1416

Greatest Common Factor of Numerators i.e. GCF of 9980,1416 is 4 .

LCM of Denominators means LCM of 434,6034 as per the given fractions.

LCM of 434,6034 is 187054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9980,1416

GCF of Fractions 9980/434,1416/6034 is 4/187054

2 9980, 1416
2 4990, 708
2495, 354

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9980,1416 By Matching Biggest Common Factor Method

Greatest Common Factor of 9980,1416 By Matching Biggest Common Factor Method

Factors of 9980

List of positive integer factors of 9980 that divides 9980 without a remainder.

1,2,4,5,10,20,499,998,1996,2495,4990,9980

Factors of 1416

List of positive integer factors of 1416 that divides 1416 without a remainder.

1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416

Greatest Common Factor

We found the factors 9980,1416 . The biggest common factor number is the GCF number.
So the greatest common factor 9980,1416 is 4.

Lets's calculate LCM of 434,6034

2 434, 6034
7 217, 3017
31, 431

∴ So the LCM of the given numbers is 2 x 7 x 31 x 431 = 187054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/187054

Therefore, the GCF of Fractions 9980/434,1416/6034 is 4/187054

Least Common Multiple of 434,6034 with GCF Formula

Least Common Multiple of 434,6034 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 434,6034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,6034) = 14

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

GCF(434,6034) x common factors =14 x 1 = 14

LCM(434,6034) = ( 434 × 6034 ) / 14

LCM(434,6034) = 2618756 / 14

LCM(434,6034) = 187054


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 9980/434, 1416/6034

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 9980/434, 1416/6034?

Answer: GCF of Numerators as per given numbers 9980/434, 1416/6034 is

GCF of Numerators i.e. for 9980,1416 is 4

LCM of denominators i.e. for 434,6034 is 187054.

Thus, GCF of Fractions is 4/187054.Finally, GCF of Fractions for 9980/434, 1416/6034 is 4/187054.