How to Find GCF of 3152/581, 4027/6302?

GCF of 3152/581, 4027/6302

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 3152/581, 4027/6302 i.e 1/3661462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3152/581, 4027/6302.

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 3152/581,4027/6302?

Given fractions are 3152/581,4027/6302

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 3152/581,4027/6302, numerators are 3152,4027

Denominators are 581,6302

The GCF of 3152,4027 is 1 .

LCM of 581,6302 is 3661462.

The greatest common factor of 3152/581,4027/6302 = [GCF of 3152,4027]/[LCM of 581,6302]= 1/3661462

Therefore, the GCF of 3152/581,4027/6302 is 1/3661462.

Greatest Common Factor of 3152,4027

To find the highest common factor of 3152,4027, we have to find the factors of both numbers and list the highest common factor.

The factors of 3152 are 1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152

The factors of 4027 are 1, 4027

The HCF of 3152,4027 is 1.

Lets's calculate GCF of 3152,4027

Greatest Common Factor (GCF) of 3152,4027 By Common Division

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

Greatest Common Factor of 3152,4027 By Matching Biggest Common Factor Method

Now, list down the factors of 3152

1,2,4,8,16,197,394,788,1576,3152

Now, list down the factors of 4027

1,4027

Greatest Common Factor

We found the factors 3152,4027 . The biggest common factor number is the GCF number.
So the greatest common factor 3152,4027 is 1.

Lets's calculate LCM of 581,6302

Lowest Common Multiple of 581,6302 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3661462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3661462

Therefore, the GCF of Fractions 3152/581,4027/6302 is 1/3661462

Least Common Multiple of 581,6302 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 581,6302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,6302) = 1

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

GCF(581,6302) x common factors =1 x 1 = 1

LCM(581,6302) = ( 581 × 6302 ) / 1

LCM(581,6302) = 3661462 / 1

LCM(581,6302) = 3661462

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3152/581, 4027/6302

1. What is the HCF of 3152,4027?

The HCF of 3152,4027 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 3152/581, 4027/6302?

Answer: GCF of Numerators as per given numbers 3152/581, 4027/6302 is

GCF of Numerators i.e. for 3152,4027 is 1

LCM of denominators i.e. for 581,6302 is 3661462.

Thus, GCF of Fractions is 1/3661462.Finally, GCF of Fractions for 3152/581, 4027/6302 is 1/3661462.