Greatest Common Factor of 8266/354, 1070/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8266/354, 1070/796

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 8266/354,1070/796

Given fractions are 8266/354,1070/796

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 8266,1070

Greatest Common Factor of Numerators i.e. GCF of 8266,1070 is 2 .

LCM of Denominators means LCM of 354,796 as per the given fractions.

LCM of 354,796 is 140892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8266,1070

GCF of Fractions 8266/354,1070/796 is 2/140892

2 8266, 1070
4133, 535

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

Greatest Common Factor of 8266,1070 By Matching Biggest Common Factor Method

Greatest Common Factor of 8266,1070 By Matching Biggest Common Factor Method

Factors of 8266

List of positive integer factors of 8266 that divides 8266 without a remainder.

1,2,4133,8266

Factors of 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1,2,5,10,107,214,535,1070

Greatest Common Factor

We found the factors 8266,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 8266,1070 is 2.

Lets's calculate LCM of 354,796

2 354, 796
177, 398

∴ So the LCM of the given numbers is 2 x 177 x 398 = 140892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/140892

Therefore, the GCF of Fractions 8266/354,1070/796 is 2/140892

Least Common Multiple of 354,796 with GCF Formula

Least Common Multiple of 354,796 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 354,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,796) = 2

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

GCF(354,796) x common factors =2 x 1 = 2

LCM(354,796) = ( 354 × 796 ) / 2

LCM(354,796) = 281784 / 2

LCM(354,796) = 140892


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 8266/354, 1070/796

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 8266/354, 1070/796?

Answer: GCF of Numerators as per given numbers 8266/354, 1070/796 is

GCF of Numerators i.e. for 8266,1070 is 2

LCM of denominators i.e. for 354,796 is 140892.

Thus, GCF of Fractions is 2/140892.Finally, GCF of Fractions for 8266/354, 1070/796 is 2/140892.