How to Find GCF of 8477/851, 2678/1449?

GCF of 8477/851, 2678/1449

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 8477/851, 2678/1449 i.e 1/53613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8477/851, 2678/1449.

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 8477/851,2678/1449?

Given fractions are 8477/851,2678/1449

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 8477/851,2678/1449, numerators are 8477,2678

Denominators are 851,1449

The GCF of 8477,2678 is 1 .

LCM of 851,1449 is 53613.

The greatest common factor of 8477/851,2678/1449 = [GCF of 8477,2678]/[LCM of 851,1449]= 1/53613

Therefore, the GCF of 8477/851,2678/1449 is 1/53613.

Greatest Common Factor of 8477,2678

To find the highest common factor of 8477,2678, we have to find the factors of both numbers and list the highest common factor.

The factors of 8477 are 1, 7, 49, 173, 1211, 8477

The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678

The HCF of 8477,2678 is 1.

Lets's calculate GCF of 8477,2678

Greatest Common Factor (GCF) of 8477,2678 By Common Division

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

Greatest Common Factor of 8477,2678 By Matching Biggest Common Factor Method

Now, list down the factors of 8477

1,7,49,173,1211,8477

Now, list down the factors of 2678

1,2,13,26,103,206,1339,2678

Greatest Common Factor

We found the factors 8477,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 8477,2678 is 1.

Lets's calculate LCM of 851,1449

Lowest Common Multiple of 851,1449 using Common Division

23	851, 1449
	37, 63

∴ So the LCM of the given numbers is 23 x 37 x 63 = 53613

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53613

Therefore, the GCF of Fractions 8477/851,2678/1449 is 1/53613

Least Common Multiple of 851,1449 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 851,1449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,1449) = 23

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

GCF(851,1449) x common factors =23 x 1 = 23

LCM(851,1449) = ( 851 × 1449 ) / 23

LCM(851,1449) = 1233099 / 23

LCM(851,1449) = 53613

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8477/851, 2678/1449

1. What is the HCF of 8477,2678?

The HCF of 8477,2678 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 8477/851, 2678/1449?

Answer: GCF of Numerators as per given numbers 8477/851, 2678/1449 is

GCF of Numerators i.e. for 8477,2678 is 1

LCM of denominators i.e. for 851,1449 is 53613.

Thus, GCF of Fractions is 1/53613.Finally, GCF of Fractions for 8477/851, 2678/1449 is 1/53613.