How to Find GCF of 2140/480, 5938/3263?

GCF of 2140/480, 5938/3263

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 2140/480, 5938/3263 i.e 2/1566240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2140/480, 5938/3263.

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 2140/480,5938/3263?

Given fractions are 2140/480,5938/3263

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 2140/480,5938/3263, numerators are 2140,5938

Denominators are 480,3263

The GCF of 2140,5938 is 2 .

LCM of 480,3263 is 1566240.

The greatest common factor of 2140/480,5938/3263 = [GCF of 2140,5938]/[LCM of 480,3263]= 2/1566240

Therefore, the GCF of 2140/480,5938/3263 is 2/1566240.

Greatest Common Factor of 2140,5938

To find the highest common factor of 2140,5938, we have to find the factors of both numbers and list the highest common factor.

The factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140

The factors of 5938 are 1, 2, 2969, 5938

The HCF of 2140,5938 is 2.

Lets's calculate GCF of 2140,5938

Greatest Common Factor (GCF) of 2140,5938 By Common Division

2	2140, 5938
	1070, 2969

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

Greatest Common Factor of 2140,5938 By Matching Biggest Common Factor Method

Now, list down the factors of 2140

1,2,4,5,10,20,107,214,428,535,1070,2140

Now, list down the factors of 5938

1,2,2969,5938

Greatest Common Factor

We found the factors 2140,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 2140,5938 is 2.

Lets's calculate LCM of 480,3263

Lowest Common Multiple of 480,3263 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1566240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1566240

Therefore, the GCF of Fractions 2140/480,5938/3263 is 2/1566240

Least Common Multiple of 480,3263 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 480,3263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,3263) = 1

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

GCF(480,3263) x common factors =1 x 1 = 1

LCM(480,3263) = ( 480 × 3263 ) / 1

LCM(480,3263) = 1566240 / 1

LCM(480,3263) = 1566240

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2140/480, 5938/3263

1. What is the HCF of 2140,5938?

The HCF of 2140,5938 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 2140/480, 5938/3263?

Answer: GCF of Numerators as per given numbers 2140/480, 5938/3263 is

GCF of Numerators i.e. for 2140,5938 is 2

LCM of denominators i.e. for 480,3263 is 1566240.

Thus, GCF of Fractions is 2/1566240.Finally, GCF of Fractions for 2140/480, 5938/3263 is 2/1566240.