Greatest Common Factor of 9548/67, 7861/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9548/67, 7861/829

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 9548/67,7861/829

Given fractions are 9548/67,7861/829

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 9548,7861

Greatest Common Factor of Numerators i.e. GCF of 9548,7861 is 7 .

LCM of Denominators means LCM of 67,829 as per the given fractions.

LCM of 67,829 is 55543 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9548,7861

GCF of Fractions 9548/67,7861/829 is 7/55543

7 9548, 7861
1364, 1123

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9548,7861 By Matching Biggest Common Factor Method

Greatest Common Factor of 9548,7861 By Matching Biggest Common Factor Method

Factors of 9548

List of positive integer factors of 9548 that divides 9548 without a remainder.

1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548

Factors of 7861

List of positive integer factors of 7861 that divides 7861 without a remainder.

1,7,1123,7861

Greatest Common Factor

We found the factors 9548,7861 . The biggest common factor number is the GCF number.
So the greatest common factor 9548,7861 is 7.

Lets's calculate LCM of 67,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 55543

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/55543

Therefore, the GCF of Fractions 9548/67,7861/829 is 7/55543

Least Common Multiple of 67,829 with GCF Formula

Least Common Multiple of 67,829 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 67,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,829) = 1

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

GCF(67,829) x common factors =1 x 1 = 1

LCM(67,829) = ( 67 × 829 ) / 1

LCM(67,829) = 55543 / 1

LCM(67,829) = 55543


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 9548/67, 7861/829

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 9548/67, 7861/829?

Answer: GCF of Numerators as per given numbers 9548/67, 7861/829 is

GCF of Numerators i.e. for 9548,7861 is 7

LCM of denominators i.e. for 67,829 is 55543.

Thus, GCF of Fractions is 7/55543.Finally, GCF of Fractions for 9548/67, 7861/829 is 7/55543.