Greatest Common Factor of 3821/680, 9410/2117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3821/680, 9410/2117

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 3821/680,9410/2117

Given fractions are 3821/680,9410/2117

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 3821,9410

Greatest Common Factor of Numerators i.e. GCF of 3821,9410 is 1 .

LCM of Denominators means LCM of 680,2117 as per the given fractions.

LCM of 680,2117 is 1439560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3821,9410

GCF of Fractions 3821/680,9410/2117 is 1/1439560

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3821,9410 By Matching Biggest Common Factor Method

Greatest Common Factor of 3821,9410 By Matching Biggest Common Factor Method

Factors of 3821

List of positive integer factors of 3821 that divides 3821 without a remainder.

1,3821

Factors of 9410

List of positive integer factors of 9410 that divides 9410 without a remainder.

1,2,5,10,941,1882,4705,9410

Greatest Common Factor

We found the factors 3821,9410 . The biggest common factor number is the GCF number.
So the greatest common factor 3821,9410 is 1.

Lets's calculate LCM of 680,2117

Given numbers has no common factors except 1. So, there LCM is their product i.e 1439560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1439560

Therefore, the GCF of Fractions 3821/680,9410/2117 is 1/1439560

Least Common Multiple of 680,2117 with GCF Formula

Least Common Multiple of 680,2117 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 680,2117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,2117) = 1

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

GCF(680,2117) x common factors =1 x 1 = 1

LCM(680,2117) = ( 680 × 2117 ) / 1

LCM(680,2117) = 1439560 / 1

LCM(680,2117) = 1439560


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 3821/680, 9410/2117

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 3821/680, 9410/2117?

Answer: GCF of Numerators as per given numbers 3821/680, 9410/2117 is

GCF of Numerators i.e. for 3821,9410 is 1

LCM of denominators i.e. for 680,2117 is 1439560.

Thus, GCF of Fractions is 1/1439560.Finally, GCF of Fractions for 3821/680, 9410/2117 is 1/1439560.