Greatest Common Factor of 8554/753, 3263/6905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8554/753, 3263/6905

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 8554/753,3263/6905

Given fractions are 8554/753,3263/6905

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 8554,3263

Greatest Common Factor of Numerators i.e. GCF of 8554,3263 is 13 .

LCM of Denominators means LCM of 753,6905 as per the given fractions.

LCM of 753,6905 is 5199465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8554,3263

GCF of Fractions 8554/753,3263/6905 is 13/5199465

13 8554, 3263
658, 251

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8554,3263 By Matching Biggest Common Factor Method

Greatest Common Factor of 8554,3263 By Matching Biggest Common Factor Method

Factors of 8554

List of positive integer factors of 8554 that divides 8554 without a remainder.

1,2,7,13,14,26,47,91,94,182,329,611,658,1222,4277,8554

Factors of 3263

List of positive integer factors of 3263 that divides 3263 without a remainder.

1,13,251,3263

Greatest Common Factor

We found the factors 8554,3263 . The biggest common factor number is the GCF number.
So the greatest common factor 8554,3263 is 13.

Lets's calculate LCM of 753,6905

Given numbers has no common factors except 1. So, there LCM is their product i.e 5199465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5199465

Therefore, the GCF of Fractions 8554/753,3263/6905 is 13/5199465

Least Common Multiple of 753,6905 with GCF Formula

Least Common Multiple of 753,6905 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 753,6905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,6905) = 1

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

GCF(753,6905) x common factors =1 x 1 = 1

LCM(753,6905) = ( 753 × 6905 ) / 1

LCM(753,6905) = 5199465 / 1

LCM(753,6905) = 5199465


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 8554/753, 3263/6905

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 8554/753, 3263/6905?

Answer: GCF of Numerators as per given numbers 8554/753, 3263/6905 is

GCF of Numerators i.e. for 8554,3263 is 13

LCM of denominators i.e. for 753,6905 is 5199465.

Thus, GCF of Fractions is 13/5199465.Finally, GCF of Fractions for 8554/753, 3263/6905 is 13/5199465.