Greatest Common Factor of 8164/262, 7712/8633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8164/262, 7712/8633

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 8164/262,7712/8633

Given fractions are 8164/262,7712/8633

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 8164,7712

Greatest Common Factor of Numerators i.e. GCF of 8164,7712 is 4 .

LCM of Denominators means LCM of 262,8633 as per the given fractions.

LCM of 262,8633 is 2261846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8164,7712

GCF of Fractions 8164/262,7712/8633 is 4/2261846

2 8164, 7712
2 4082, 3856
2041, 1928

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

Greatest Common Factor of 8164,7712 By Matching Biggest Common Factor Method

Greatest Common Factor of 8164,7712 By Matching Biggest Common Factor Method

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Factors of 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1,2,4,8,16,32,241,482,964,1928,3856,7712

Greatest Common Factor

We found the factors 8164,7712 . The biggest common factor number is the GCF number.
So the greatest common factor 8164,7712 is 4.

Lets's calculate LCM of 262,8633

Given numbers has no common factors except 1. So, there LCM is their product i.e 2261846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2261846

Therefore, the GCF of Fractions 8164/262,7712/8633 is 4/2261846

Least Common Multiple of 262,8633 with GCF Formula

Least Common Multiple of 262,8633 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 262,8633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,8633) = 1

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

GCF(262,8633) x common factors =1 x 1 = 1

LCM(262,8633) = ( 262 × 8633 ) / 1

LCM(262,8633) = 2261846 / 1

LCM(262,8633) = 2261846


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 8164/262, 7712/8633

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 8164/262, 7712/8633?

Answer: GCF of Numerators as per given numbers 8164/262, 7712/8633 is

GCF of Numerators i.e. for 8164,7712 is 4

LCM of denominators i.e. for 262,8633 is 2261846.

Thus, GCF of Fractions is 4/2261846.Finally, GCF of Fractions for 8164/262, 7712/8633 is 4/2261846.