How to Find GCF of 3131/814, 3124/3675?

GCF of 3131/814, 3124/3675

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 3131/814, 3124/3675 i.e 1/2991450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3131/814, 3124/3675.

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 3131/814,3124/3675?

Given fractions are 3131/814,3124/3675

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 3131/814,3124/3675, numerators are 3131,3124

Denominators are 814,3675

The GCF of 3131,3124 is 1 .

LCM of 814,3675 is 2991450.

The greatest common factor of 3131/814,3124/3675 = [GCF of 3131,3124]/[LCM of 814,3675]= 1/2991450

Therefore, the GCF of 3131/814,3124/3675 is 1/2991450.

Greatest Common Factor of 3131,3124

To find the highest common factor of 3131,3124, we have to find the factors of both numbers and list the highest common factor.

The factors of 3131 are 1, 31, 101, 3131

The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124

The HCF of 3131,3124 is 1.

Lets's calculate GCF of 3131,3124

Greatest Common Factor (GCF) of 3131,3124 By Common Division

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

Greatest Common Factor of 3131,3124 By Matching Biggest Common Factor Method

Now, list down the factors of 3131

1,31,101,3131

Now, list down the factors of 3124

1,2,4,11,22,44,71,142,284,781,1562,3124

Greatest Common Factor

We found the factors 3131,3124 . The biggest common factor number is the GCF number.
So the greatest common factor 3131,3124 is 1.

Lets's calculate LCM of 814,3675

Lowest Common Multiple of 814,3675 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2991450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2991450

Therefore, the GCF of Fractions 3131/814,3124/3675 is 1/2991450

Least Common Multiple of 814,3675 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 814,3675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,3675) = 1

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

GCF(814,3675) x common factors =1 x 1 = 1

LCM(814,3675) = ( 814 × 3675 ) / 1

LCM(814,3675) = 2991450 / 1

LCM(814,3675) = 2991450

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3131/814, 3124/3675

1. What is the HCF of 3131,3124?

The HCF of 3131,3124 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 3131/814, 3124/3675?

Answer: GCF of Numerators as per given numbers 3131/814, 3124/3675 is

GCF of Numerators i.e. for 3131,3124 is 1

LCM of denominators i.e. for 814,3675 is 2991450.

Thus, GCF of Fractions is 1/2991450.Finally, GCF of Fractions for 3131/814, 3124/3675 is 1/2991450.