How to Find GCF of 2450/656, 5930/2239?

GCF of 2450/656, 5930/2239

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 2450/656, 5930/2239 i.e 10/1468784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2450/656, 5930/2239.

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 2450/656,5930/2239?

Given fractions are 2450/656,5930/2239

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 2450/656,5930/2239, numerators are 2450,5930

Denominators are 656,2239

The GCF of 2450,5930 is 10 .

LCM of 656,2239 is 1468784.

The greatest common factor of 2450/656,5930/2239 = [GCF of 2450,5930]/[LCM of 656,2239]= 10/1468784

Therefore, the GCF of 2450/656,5930/2239 is 10/1468784.

Greatest Common Factor of 2450,5930

To find the highest common factor of 2450,5930, we have to find the factors of both numbers and list the highest common factor.

The factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450

The factors of 5930 are 1, 2, 5, 10, 593, 1186, 2965, 5930

The HCF of 2450,5930 is 10.

Lets's calculate GCF of 2450,5930

Greatest Common Factor (GCF) of 2450,5930 By Common Division

2	2450, 5930
5	1225, 2965
	245, 593

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 2450,5930 By Matching Biggest Common Factor Method

Now, list down the factors of 2450

1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450

Now, list down the factors of 5930

1,2,5,10,593,1186,2965,5930

Greatest Common Factor

We found the factors 2450,5930 . The biggest common factor number is the GCF number.
So the greatest common factor 2450,5930 is 10.

Lets's calculate LCM of 656,2239

Lowest Common Multiple of 656,2239 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1468784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1468784

Therefore, the GCF of Fractions 2450/656,5930/2239 is 10/1468784

Least Common Multiple of 656,2239 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 656,2239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,2239) = 1

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

GCF(656,2239) x common factors =1 x 1 = 1

LCM(656,2239) = ( 656 × 2239 ) / 1

LCM(656,2239) = 1468784 / 1

LCM(656,2239) = 1468784

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2450/656, 5930/2239

1. What is the HCF of 2450,5930?

The HCF of 2450,5930 is 10

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 2450/656, 5930/2239?

Answer: GCF of Numerators as per given numbers 2450/656, 5930/2239 is

GCF of Numerators i.e. for 2450,5930 is 10

LCM of denominators i.e. for 656,2239 is 1468784.

Thus, GCF of Fractions is 10/1468784.Finally, GCF of Fractions for 2450/656, 5930/2239 is 10/1468784.