How to Find GCF of 2744/147, 7284/8423?

GCF of 2744/147, 7284/8423

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 2744/147, 7284/8423 i.e 4/1238181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2744/147, 7284/8423.

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 2744/147,7284/8423?

Given fractions are 2744/147,7284/8423

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 2744/147,7284/8423, numerators are 2744,7284

Denominators are 147,8423

The GCF of 2744,7284 is 4 .

LCM of 147,8423 is 1238181.

The greatest common factor of 2744/147,7284/8423 = [GCF of 2744,7284]/[LCM of 147,8423]= 4/1238181

Therefore, the GCF of 2744/147,7284/8423 is 4/1238181.

Greatest Common Factor of 2744,7284

To find the highest common factor of 2744,7284, we have to find the factors of both numbers and list the highest common factor.

The factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744

The factors of 7284 are 1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642, 7284

The HCF of 2744,7284 is 4.

Lets's calculate GCF of 2744,7284

Greatest Common Factor (GCF) of 2744,7284 By Common Division

2	2744, 7284
2	1372, 3642
	686, 1821

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2744,7284 By Matching Biggest Common Factor Method

Now, list down the factors of 2744

1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744

Now, list down the factors of 7284

1,2,3,4,6,12,607,1214,1821,2428,3642,7284

Greatest Common Factor

We found the factors 2744,7284 . The biggest common factor number is the GCF number.
So the greatest common factor 2744,7284 is 4.

Lets's calculate LCM of 147,8423

Lowest Common Multiple of 147,8423 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1238181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1238181

Therefore, the GCF of Fractions 2744/147,7284/8423 is 4/1238181

Least Common Multiple of 147,8423 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 147,8423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,8423) = 1

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

GCF(147,8423) x common factors =1 x 1 = 1

LCM(147,8423) = ( 147 × 8423 ) / 1

LCM(147,8423) = 1238181 / 1

LCM(147,8423) = 1238181

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2744/147, 7284/8423

1. What is the HCF of 2744,7284?

The HCF of 2744,7284 is 4

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 2744/147, 7284/8423?

Answer: GCF of Numerators as per given numbers 2744/147, 7284/8423 is

GCF of Numerators i.e. for 2744,7284 is 4

LCM of denominators i.e. for 147,8423 is 1238181.

Thus, GCF of Fractions is 4/1238181.Finally, GCF of Fractions for 2744/147, 7284/8423 is 4/1238181.