Greatest Common Factor of 1256/299, 8468/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1256/299, 8468/106

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 1256/299,8468/106

Given fractions are 1256/299,8468/106

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 1256,8468

Greatest Common Factor of Numerators i.e. GCF of 1256,8468 is 4 .

LCM of Denominators means LCM of 299,106 as per the given fractions.

LCM of 299,106 is 31694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1256,8468

GCF of Fractions 1256/299,8468/106 is 4/31694

2 1256, 8468
2 628, 4234
314, 2117

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

Greatest Common Factor of 1256,8468 By Matching Biggest Common Factor Method

Greatest Common Factor of 1256,8468 By Matching Biggest Common Factor Method

Factors of 1256

List of positive integer factors of 1256 that divides 1256 without a remainder.

1,2,4,8,157,314,628,1256

Factors of 8468

List of positive integer factors of 8468 that divides 8468 without a remainder.

1,2,4,29,58,73,116,146,292,2117,4234,8468

Greatest Common Factor

We found the factors 1256,8468 . The biggest common factor number is the GCF number.
So the greatest common factor 1256,8468 is 4.

Lets's calculate LCM of 299,106

Given numbers has no common factors except 1. So, there LCM is their product i.e 31694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/31694

Therefore, the GCF of Fractions 1256/299,8468/106 is 4/31694

Least Common Multiple of 299,106 with GCF Formula

Least Common Multiple of 299,106 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 299,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,106) = 1

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

GCF(299,106) x common factors =1 x 1 = 1

LCM(299,106) = ( 299 × 106 ) / 1

LCM(299,106) = 31694 / 1

LCM(299,106) = 31694


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 1256/299, 8468/106

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 1256/299, 8468/106?

Answer: GCF of Numerators as per given numbers 1256/299, 8468/106 is

GCF of Numerators i.e. for 1256,8468 is 4

LCM of denominators i.e. for 299,106 is 31694.

Thus, GCF of Fractions is 4/31694.Finally, GCF of Fractions for 1256/299, 8468/106 is 4/31694.