How to Find GCF of 3831/650, 3002/8957?

GCF of 3831/650, 3002/8957

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 3831/650, 3002/8957 i.e 1/447850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3831/650, 3002/8957.

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 3831/650,3002/8957?

Given fractions are 3831/650,3002/8957

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 3831/650,3002/8957, numerators are 3831,3002

Denominators are 650,8957

The GCF of 3831,3002 is 1 .

LCM of 650,8957 is 447850.

The greatest common factor of 3831/650,3002/8957 = [GCF of 3831,3002]/[LCM of 650,8957]= 1/447850

Therefore, the GCF of 3831/650,3002/8957 is 1/447850.

Greatest Common Factor of 3831,3002

To find the highest common factor of 3831,3002, 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 3002 are 1, 2, 19, 38, 79, 158, 1501, 3002

The HCF of 3831,3002 is 1.

Lets's calculate GCF of 3831,3002

Greatest Common Factor (GCF) of 3831,3002 By Common Division

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

Greatest Common Factor of 3831,3002 By Matching Biggest Common Factor Method

Now, list down the factors of 3831

1,3,1277,3831

Now, list down the factors of 3002

1,2,19,38,79,158,1501,3002

Greatest Common Factor

We found the factors 3831,3002 . The biggest common factor number is the GCF number.
So the greatest common factor 3831,3002 is 1.

Lets's calculate LCM of 650,8957

Lowest Common Multiple of 650,8957 using Common Division

13	650, 8957
	50, 689

∴ So the LCM of the given numbers is 13 x 50 x 689 = 447850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447850

Therefore, the GCF of Fractions 3831/650,3002/8957 is 1/447850

Least Common Multiple of 650,8957 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 650,8957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,8957) = 13

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

GCF(650,8957) x common factors =13 x 1 = 13

LCM(650,8957) = ( 650 × 8957 ) / 13

LCM(650,8957) = 5822050 / 13

LCM(650,8957) = 447850

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3831/650, 3002/8957

1. What is the HCF of 3831,3002?

The HCF of 3831,3002 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 3831/650, 3002/8957?

Answer: GCF of Numerators as per given numbers 3831/650, 3002/8957 is

GCF of Numerators i.e. for 3831,3002 is 1

LCM of denominators i.e. for 650,8957 is 447850.

Thus, GCF of Fractions is 1/447850.Finally, GCF of Fractions for 3831/650, 3002/8957 is 1/447850.