Greatest Common Factor of 9919/408, 9780/8672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9919/408, 9780/8672

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 9919/408,9780/8672

Given fractions are 9919/408,9780/8672

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 9919,9780

Greatest Common Factor of Numerators i.e. GCF of 9919,9780 is 1 .

LCM of Denominators means LCM of 408,8672 as per the given fractions.

LCM of 408,8672 is 442272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9919,9780

GCF of Fractions 9919/408,9780/8672 is 1/442272

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

Greatest Common Factor of 9919,9780 By Matching Biggest Common Factor Method

Greatest Common Factor of 9919,9780 By Matching Biggest Common Factor Method

Factors of 9919

List of positive integer factors of 9919 that divides 9919 without a remainder.

1,7,13,91,109,763,1417,9919

Factors of 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780

Greatest Common Factor

We found the factors 9919,9780 . The biggest common factor number is the GCF number.
So the greatest common factor 9919,9780 is 1.

Lets's calculate LCM of 408,8672

2 408, 8672
2 204, 4336
2 102, 2168
51, 1084

∴ So the LCM of the given numbers is 2 x 2 x 2 x 51 x 1084 = 442272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/442272

Therefore, the GCF of Fractions 9919/408,9780/8672 is 1/442272

Least Common Multiple of 408,8672 with GCF Formula

Least Common Multiple of 408,8672 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 408,8672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,8672) = 8

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

GCF(408,8672) x common factors =8 x 1 = 8

LCM(408,8672) = ( 408 × 8672 ) / 8

LCM(408,8672) = 3538176 / 8

LCM(408,8672) = 442272


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 9919/408, 9780/8672

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 9919/408, 9780/8672?

Answer: GCF of Numerators as per given numbers 9919/408, 9780/8672 is

GCF of Numerators i.e. for 9919,9780 is 1

LCM of denominators i.e. for 408,8672 is 442272.

Thus, GCF of Fractions is 1/442272.Finally, GCF of Fractions for 9919/408, 9780/8672 is 1/442272.