Greatest Common Factor of 7071/26, 7800/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7071/26, 7800/683

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 7071/26,7800/683

Given fractions are 7071/26,7800/683

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 7071,7800

Greatest Common Factor of Numerators i.e. GCF of 7071,7800 is 3 .

LCM of Denominators means LCM of 26,683 as per the given fractions.

LCM of 26,683 is 17758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7071,7800

GCF of Fractions 7071/26,7800/683 is 3/17758

3 7071, 7800
2357, 2600

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7071,7800 By Matching Biggest Common Factor Method

Greatest Common Factor of 7071,7800 By Matching Biggest Common Factor Method

Factors of 7071

List of positive integer factors of 7071 that divides 7071 without a remainder.

1,3,2357,7071

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800

Greatest Common Factor

We found the factors 7071,7800 . The biggest common factor number is the GCF number.
So the greatest common factor 7071,7800 is 3.

Lets's calculate LCM of 26,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 17758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17758

Therefore, the GCF of Fractions 7071/26,7800/683 is 3/17758

Least Common Multiple of 26,683 with GCF Formula

Least Common Multiple of 26,683 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 26,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,683) = 1

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

GCF(26,683) x common factors =1 x 1 = 1

LCM(26,683) = ( 26 × 683 ) / 1

LCM(26,683) = 17758 / 1

LCM(26,683) = 17758


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 7071/26, 7800/683

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 7071/26, 7800/683?

Answer: GCF of Numerators as per given numbers 7071/26, 7800/683 is

GCF of Numerators i.e. for 7071,7800 is 3

LCM of denominators i.e. for 26,683 is 17758.

Thus, GCF of Fractions is 3/17758.Finally, GCF of Fractions for 7071/26, 7800/683 is 3/17758.