How to Find GCF of 2750/282, 4348/179?

GCF of 2750/282, 4348/179

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 2750/282, 4348/179 i.e 2/50478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2750/282, 4348/179.

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 2750/282,4348/179?

Given fractions are 2750/282,4348/179

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 2750/282,4348/179, numerators are 2750,4348

Denominators are 282,179

The GCF of 2750,4348 is 2 .

LCM of 282,179 is 50478.

The greatest common factor of 2750/282,4348/179 = [GCF of 2750,4348]/[LCM of 282,179]= 2/50478

Therefore, the GCF of 2750/282,4348/179 is 2/50478.

Greatest Common Factor of 2750,4348

To find the highest common factor of 2750,4348, we have to find the factors of both numbers and list the highest common factor.

The factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750

The factors of 4348 are 1, 2, 4, 1087, 2174, 4348

The HCF of 2750,4348 is 2.

Lets's calculate GCF of 2750,4348

Greatest Common Factor (GCF) of 2750,4348 By Common Division

2	2750, 4348
	1375, 2174

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

Greatest Common Factor of 2750,4348 By Matching Biggest Common Factor Method

Now, list down the factors of 2750

1,2,5,10,11,22,25,50,55,110,125,250,275,550,1375,2750

Now, list down the factors of 4348

1,2,4,1087,2174,4348

Greatest Common Factor

We found the factors 2750,4348 . The biggest common factor number is the GCF number.
So the greatest common factor 2750,4348 is 2.

Lets's calculate LCM of 282,179

Lowest Common Multiple of 282,179 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 50478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50478

Therefore, the GCF of Fractions 2750/282,4348/179 is 2/50478

Least Common Multiple of 282,179 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 282,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,179) = 1

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

GCF(282,179) x common factors =1 x 1 = 1

LCM(282,179) = ( 282 × 179 ) / 1

LCM(282,179) = 50478 / 1

LCM(282,179) = 50478

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FAQs on GCF of Fractions of 2750/282, 4348/179

1. What is the HCF of 2750,4348?

The HCF of 2750,4348 is 2

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 2750/282, 4348/179?

Answer: GCF of Numerators as per given numbers 2750/282, 4348/179 is

GCF of Numerators i.e. for 2750,4348 is 2

LCM of denominators i.e. for 282,179 is 50478.

Thus, GCF of Fractions is 2/50478.Finally, GCF of Fractions for 2750/282, 4348/179 is 2/50478.