How to Find GCF of 5342/631, 3210/8989?

GCF of 5342/631, 3210/8989

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 5342/631, 3210/8989 i.e 2/5672059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5342/631, 3210/8989.

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 5342/631,3210/8989?

Given fractions are 5342/631,3210/8989

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 5342/631,3210/8989, numerators are 5342,3210

Denominators are 631,8989

The GCF of 5342,3210 is 2 .

LCM of 631,8989 is 5672059.

The greatest common factor of 5342/631,3210/8989 = [GCF of 5342,3210]/[LCM of 631,8989]= 2/5672059

Therefore, the GCF of 5342/631,3210/8989 is 2/5672059.

Greatest Common Factor of 5342,3210

To find the highest common factor of 5342,3210, we have to find the factors of both numbers and list the highest common factor.

The factors of 5342 are 1, 2, 2671, 5342

The factors of 3210 are 1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210

The HCF of 5342,3210 is 2.

Lets's calculate GCF of 5342,3210

Greatest Common Factor (GCF) of 5342,3210 By Common Division

2	5342, 3210
	2671, 1605

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5342,3210 By Matching Biggest Common Factor Method

Now, list down the factors of 5342

1,2,2671,5342

Now, list down the factors of 3210

1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210

Greatest Common Factor

We found the factors 5342,3210 . The biggest common factor number is the GCF number.
So the greatest common factor 5342,3210 is 2.

Lets's calculate LCM of 631,8989

Lowest Common Multiple of 631,8989 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5672059

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5672059

Therefore, the GCF of Fractions 5342/631,3210/8989 is 2/5672059

Least Common Multiple of 631,8989 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 631,8989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,8989) = 1

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

GCF(631,8989) x common factors =1 x 1 = 1

LCM(631,8989) = ( 631 × 8989 ) / 1

LCM(631,8989) = 5672059 / 1

LCM(631,8989) = 5672059

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5342/631, 3210/8989

1. What is the HCF of 5342,3210?

The HCF of 5342,3210 is 2

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 5342/631, 3210/8989?

Answer: GCF of Numerators as per given numbers 5342/631, 3210/8989 is

GCF of Numerators i.e. for 5342,3210 is 2

LCM of denominators i.e. for 631,8989 is 5672059.

Thus, GCF of Fractions is 2/5672059.Finally, GCF of Fractions for 5342/631, 3210/8989 is 2/5672059.