How to Find GCF of 2427/905, 4634/6674?

GCF of 2427/905, 4634/6674

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 2427/905, 4634/6674 i.e 1/6039970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2427/905, 4634/6674.

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 2427/905,4634/6674?

Given fractions are 2427/905,4634/6674

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 2427/905,4634/6674, numerators are 2427,4634

Denominators are 905,6674

The GCF of 2427,4634 is 1 .

LCM of 905,6674 is 6039970.

The greatest common factor of 2427/905,4634/6674 = [GCF of 2427,4634]/[LCM of 905,6674]= 1/6039970

Therefore, the GCF of 2427/905,4634/6674 is 1/6039970.

Greatest Common Factor of 2427,4634

To find the highest common factor of 2427,4634, we have to find the factors of both numbers and list the highest common factor.

The factors of 2427 are 1, 3, 809, 2427

The factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634

The HCF of 2427,4634 is 1.

Lets's calculate GCF of 2427,4634

Greatest Common Factor (GCF) of 2427,4634 By Common Division

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

Greatest Common Factor of 2427,4634 By Matching Biggest Common Factor Method

Now, list down the factors of 2427

1,3,809,2427

Now, list down the factors of 4634

1,2,7,14,331,662,2317,4634

Greatest Common Factor

We found the factors 2427,4634 . The biggest common factor number is the GCF number.
So the greatest common factor 2427,4634 is 1.

Lets's calculate LCM of 905,6674

Lowest Common Multiple of 905,6674 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6039970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6039970

Therefore, the GCF of Fractions 2427/905,4634/6674 is 1/6039970

Least Common Multiple of 905,6674 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 905,6674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,6674) = 1

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

GCF(905,6674) x common factors =1 x 1 = 1

LCM(905,6674) = ( 905 × 6674 ) / 1

LCM(905,6674) = 6039970 / 1

LCM(905,6674) = 6039970

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2427/905, 4634/6674

1. What is the HCF of 2427,4634?

The HCF of 2427,4634 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 2427/905, 4634/6674?

Answer: GCF of Numerators as per given numbers 2427/905, 4634/6674 is

GCF of Numerators i.e. for 2427,4634 is 1

LCM of denominators i.e. for 905,6674 is 6039970.

Thus, GCF of Fractions is 1/6039970.Finally, GCF of Fractions for 2427/905, 4634/6674 is 1/6039970.