How to Find GCF of 3831/680, 5968/7180?

GCF of 3831/680, 5968/7180

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3831/680, 5968/7180 i.e 1/244120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3831/680, 5968/7180.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3831/680,5968/7180?

Given fractions are 3831/680,5968/7180

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3831/680,5968/7180, numerators are 3831,5968

Denominators are 680,7180

The GCF of 3831,5968 is 1 .

LCM of 680,7180 is 244120.

The greatest common factor of 3831/680,5968/7180 = [GCF of 3831,5968]/[LCM of 680,7180]= 1/244120

Therefore, the GCF of 3831/680,5968/7180 is 1/244120.

Greatest Common Factor of 3831,5968

To find the highest common factor of 3831,5968, we have to find the factors of both numbers and list the highest common factor.

The factors of 3831 are 1, 3, 1277, 3831

The factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968

The HCF of 3831,5968 is 1.

Lets's calculate GCF of 3831,5968

Greatest Common Factor (GCF) of 3831,5968 By Common Division

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

Greatest Common Factor of 3831,5968 By Matching Biggest Common Factor Method

Now, list down the factors of 3831

1,3,1277,3831

Now, list down the factors of 5968

1,2,4,8,16,373,746,1492,2984,5968

Greatest Common Factor

We found the factors 3831,5968 . The biggest common factor number is the GCF number.
So the greatest common factor 3831,5968 is 1.

Lets's calculate LCM of 680,7180

Lowest Common Multiple of 680,7180 using Common Division

2	680, 7180
2	340, 3590
5	170, 1795
	34, 359

∴ So the LCM of the given numbers is 2 x 2 x 5 x 34 x 359 = 244120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244120

Therefore, the GCF of Fractions 3831/680,5968/7180 is 1/244120

Least Common Multiple of 680,7180 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 680,7180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,7180) = 20

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

GCF(680,7180) x common factors =20 x 1 = 20

LCM(680,7180) = ( 680 × 7180 ) / 20

LCM(680,7180) = 4882400 / 20

LCM(680,7180) = 244120

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FAQs on GCF of Fractions of 3831/680, 5968/7180

1. What is the HCF of 3831,5968?

The HCF of 3831,5968 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 3831/680, 5968/7180?

Answer: GCF of Numerators as per given numbers 3831/680, 5968/7180 is

GCF of Numerators i.e. for 3831,5968 is 1

LCM of denominators i.e. for 680,7180 is 244120.

Thus, GCF of Fractions is 1/244120.Finally, GCF of Fractions for 3831/680, 5968/7180 is 1/244120.