How to Find GCF of 2980/695, 6038/2396?

GCF of 2980/695, 6038/2396

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 2980/695, 6038/2396 i.e 2/1665220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2980/695, 6038/2396.

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 2980/695,6038/2396?

Given fractions are 2980/695,6038/2396

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 2980/695,6038/2396, numerators are 2980,6038

Denominators are 695,2396

The GCF of 2980,6038 is 2 .

LCM of 695,2396 is 1665220.

The greatest common factor of 2980/695,6038/2396 = [GCF of 2980,6038]/[LCM of 695,2396]= 2/1665220

Therefore, the GCF of 2980/695,6038/2396 is 2/1665220.

Greatest Common Factor of 2980,6038

To find the highest common factor of 2980,6038, we have to find the factors of both numbers and list the highest common factor.

The factors of 2980 are 1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980

The factors of 6038 are 1, 2, 3019, 6038

The HCF of 2980,6038 is 2.

Lets's calculate GCF of 2980,6038

Greatest Common Factor (GCF) of 2980,6038 By Common Division

2	2980, 6038
	1490, 3019

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

Greatest Common Factor of 2980,6038 By Matching Biggest Common Factor Method

Now, list down the factors of 2980

1,2,4,5,10,20,149,298,596,745,1490,2980

Now, list down the factors of 6038

1,2,3019,6038

Greatest Common Factor

We found the factors 2980,6038 . The biggest common factor number is the GCF number.
So the greatest common factor 2980,6038 is 2.

Lets's calculate LCM of 695,2396

Lowest Common Multiple of 695,2396 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1665220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1665220

Therefore, the GCF of Fractions 2980/695,6038/2396 is 2/1665220

Least Common Multiple of 695,2396 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 695,2396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,2396) = 1

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

GCF(695,2396) x common factors =1 x 1 = 1

LCM(695,2396) = ( 695 × 2396 ) / 1

LCM(695,2396) = 1665220 / 1

LCM(695,2396) = 1665220

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FAQs on GCF of Fractions of 2980/695, 6038/2396

1. What is the HCF of 2980,6038?

The HCF of 2980,6038 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 2980/695, 6038/2396?

Answer: GCF of Numerators as per given numbers 2980/695, 6038/2396 is

GCF of Numerators i.e. for 2980,6038 is 2

LCM of denominators i.e. for 695,2396 is 1665220.

Thus, GCF of Fractions is 2/1665220.Finally, GCF of Fractions for 2980/695, 6038/2396 is 2/1665220.