How to Find GCF of 7463/978, 1671/3637?

GCF of 7463/978, 1671/3637

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 7463/978, 1671/3637 i.e 1/3556986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7463/978, 1671/3637.

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 7463/978,1671/3637?

Given fractions are 7463/978,1671/3637

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 7463/978,1671/3637, numerators are 7463,1671

Denominators are 978,3637

The GCF of 7463,1671 is 1 .

LCM of 978,3637 is 3556986.

The greatest common factor of 7463/978,1671/3637 = [GCF of 7463,1671]/[LCM of 978,3637]= 1/3556986

Therefore, the GCF of 7463/978,1671/3637 is 1/3556986.

Greatest Common Factor of 7463,1671

To find the highest common factor of 7463,1671, we have to find the factors of both numbers and list the highest common factor.

The factors of 7463 are 1, 17, 439, 7463

The factors of 1671 are 1, 3, 557, 1671

The HCF of 7463,1671 is 1.

Lets's calculate GCF of 7463,1671

Greatest Common Factor (GCF) of 7463,1671 By Common Division

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

Greatest Common Factor of 7463,1671 By Matching Biggest Common Factor Method

Now, list down the factors of 7463

1,17,439,7463

Now, list down the factors of 1671

1,3,557,1671

Greatest Common Factor

We found the factors 7463,1671 . The biggest common factor number is the GCF number.
So the greatest common factor 7463,1671 is 1.

Lets's calculate LCM of 978,3637

Lowest Common Multiple of 978,3637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3556986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3556986

Therefore, the GCF of Fractions 7463/978,1671/3637 is 1/3556986

Least Common Multiple of 978,3637 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 978,3637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,3637) = 1

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

GCF(978,3637) x common factors =1 x 1 = 1

LCM(978,3637) = ( 978 × 3637 ) / 1

LCM(978,3637) = 3556986 / 1

LCM(978,3637) = 3556986

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7463/978, 1671/3637

1. What is the HCF of 7463,1671?

The HCF of 7463,1671 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 7463/978, 1671/3637?

Answer: GCF of Numerators as per given numbers 7463/978, 1671/3637 is

GCF of Numerators i.e. for 7463,1671 is 1

LCM of denominators i.e. for 978,3637 is 3556986.

Thus, GCF of Fractions is 1/3556986.Finally, GCF of Fractions for 7463/978, 1671/3637 is 1/3556986.