Greatest Common Factor of 9828/106, 5251/8918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9828/106, 5251/8918

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 9828/106,5251/8918

Given fractions are 9828/106,5251/8918

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 9828,5251

Greatest Common Factor of Numerators i.e. GCF of 9828,5251 is 1 .

LCM of Denominators means LCM of 106,8918 as per the given fractions.

LCM of 106,8918 is 472654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9828,5251

GCF of Fractions 9828/106,5251/8918 is 1/472654

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

Greatest Common Factor of 9828,5251 By Matching Biggest Common Factor Method

Greatest Common Factor of 9828,5251 By Matching Biggest Common Factor Method

Factors of 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828

Factors of 5251

List of positive integer factors of 5251 that divides 5251 without a remainder.

1,59,89,5251

Greatest Common Factor

We found the factors 9828,5251 . The biggest common factor number is the GCF number.
So the greatest common factor 9828,5251 is 1.

Lets's calculate LCM of 106,8918

2 106, 8918
53, 4459

∴ So the LCM of the given numbers is 2 x 53 x 4459 = 472654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472654

Therefore, the GCF of Fractions 9828/106,5251/8918 is 1/472654

Least Common Multiple of 106,8918 with GCF Formula

Least Common Multiple of 106,8918 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 106,8918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,8918) = 2

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

GCF(106,8918) x common factors =2 x 1 = 2

LCM(106,8918) = ( 106 × 8918 ) / 2

LCM(106,8918) = 945308 / 2

LCM(106,8918) = 472654


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 9828/106, 5251/8918

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 9828/106, 5251/8918?

Answer: GCF of Numerators as per given numbers 9828/106, 5251/8918 is

GCF of Numerators i.e. for 9828,5251 is 1

LCM of denominators i.e. for 106,8918 is 472654.

Thus, GCF of Fractions is 1/472654.Finally, GCF of Fractions for 9828/106, 5251/8918 is 1/472654.