How to Find GCF of 2990/196, 4259/976?

GCF of 2990/196, 4259/976

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 2990/196, 4259/976 i.e 1/47824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2990/196, 4259/976.

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 2990/196,4259/976?

Given fractions are 2990/196,4259/976

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 2990/196,4259/976, numerators are 2990,4259

Denominators are 196,976

The GCF of 2990,4259 is 1 .

LCM of 196,976 is 47824.

The greatest common factor of 2990/196,4259/976 = [GCF of 2990,4259]/[LCM of 196,976]= 1/47824

Therefore, the GCF of 2990/196,4259/976 is 1/47824.

Greatest Common Factor of 2990,4259

To find the highest common factor of 2990,4259, we have to find the factors of both numbers and list the highest common factor.

The factors of 2990 are 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990

The factors of 4259 are 1, 4259

The HCF of 2990,4259 is 1.

Lets's calculate GCF of 2990,4259

Greatest Common Factor (GCF) of 2990,4259 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2990,4259 By Matching Biggest Common Factor Method

Now, list down the factors of 2990

1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990

Now, list down the factors of 4259

1,4259

Greatest Common Factor

We found the factors 2990,4259 . The biggest common factor number is the GCF number.
So the greatest common factor 2990,4259 is 1.

Lets's calculate LCM of 196,976

Lowest Common Multiple of 196,976 using Common Division

2	196, 976
2	98, 488
	49, 244

∴ So the LCM of the given numbers is 2 x 2 x 49 x 244 = 47824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47824

Therefore, the GCF of Fractions 2990/196,4259/976 is 1/47824

Least Common Multiple of 196,976 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 196,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,976) = 4

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

GCF(196,976) x common factors =4 x 1 = 4

LCM(196,976) = ( 196 × 976 ) / 4

LCM(196,976) = 191296 / 4

LCM(196,976) = 47824

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FAQs on GCF of Fractions of 2990/196, 4259/976

1. What is the HCF of 2990,4259?

The HCF of 2990,4259 is 1

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 2990/196, 4259/976?

Answer: GCF of Numerators as per given numbers 2990/196, 4259/976 is

GCF of Numerators i.e. for 2990,4259 is 1

LCM of denominators i.e. for 196,976 is 47824.

Thus, GCF of Fractions is 1/47824.Finally, GCF of Fractions for 2990/196, 4259/976 is 1/47824.