How to Find GCF of 6254/465, 1627/2751?

GCF of 6254/465, 1627/2751

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 6254/465, 1627/2751 i.e 1/426405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6254/465, 1627/2751.

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 6254/465,1627/2751?

Given fractions are 6254/465,1627/2751

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 6254/465,1627/2751, numerators are 6254,1627

Denominators are 465,2751

The GCF of 6254,1627 is 1 .

LCM of 465,2751 is 426405.

The greatest common factor of 6254/465,1627/2751 = [GCF of 6254,1627]/[LCM of 465,2751]= 1/426405

Therefore, the GCF of 6254/465,1627/2751 is 1/426405.

Greatest Common Factor of 6254,1627

To find the highest common factor of 6254,1627, we have to find the factors of both numbers and list the highest common factor.

The factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254

The factors of 1627 are 1, 1627

The HCF of 6254,1627 is 1.

Lets's calculate GCF of 6254,1627

Greatest Common Factor (GCF) of 6254,1627 By Common Division

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

Greatest Common Factor of 6254,1627 By Matching Biggest Common Factor Method

Now, list down the factors of 6254

1,2,53,59,106,118,3127,6254

Now, list down the factors of 1627

1,1627

Greatest Common Factor

We found the factors 6254,1627 . The biggest common factor number is the GCF number.
So the greatest common factor 6254,1627 is 1.

Lets's calculate LCM of 465,2751

Lowest Common Multiple of 465,2751 using Common Division

3	465, 2751
	155, 917

∴ So the LCM of the given numbers is 3 x 155 x 917 = 426405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426405

Therefore, the GCF of Fractions 6254/465,1627/2751 is 1/426405

Least Common Multiple of 465,2751 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 465,2751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,2751) = 3

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

GCF(465,2751) x common factors =3 x 1 = 3

LCM(465,2751) = ( 465 × 2751 ) / 3

LCM(465,2751) = 1279215 / 3

LCM(465,2751) = 426405

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6254/465, 1627/2751

1. What is the HCF of 6254,1627?

The HCF of 6254,1627 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 6254/465, 1627/2751?

Answer: GCF of Numerators as per given numbers 6254/465, 1627/2751 is

GCF of Numerators i.e. for 6254,1627 is 1

LCM of denominators i.e. for 465,2751 is 426405.

Thus, GCF of Fractions is 1/426405.Finally, GCF of Fractions for 6254/465, 1627/2751 is 1/426405.