How to Find GCF of 3939/980, 5774/2556?

GCF of 3939/980, 5774/2556

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 3939/980, 5774/2556 i.e 1/626220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3939/980, 5774/2556.

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 3939/980,5774/2556?

Given fractions are 3939/980,5774/2556

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 3939/980,5774/2556, numerators are 3939,5774

Denominators are 980,2556

The GCF of 3939,5774 is 1 .

LCM of 980,2556 is 626220.

The greatest common factor of 3939/980,5774/2556 = [GCF of 3939,5774]/[LCM of 980,2556]= 1/626220

Therefore, the GCF of 3939/980,5774/2556 is 1/626220.

Greatest Common Factor of 3939,5774

To find the highest common factor of 3939,5774, we have to find the factors of both numbers and list the highest common factor.

The factors of 3939 are 1, 3, 13, 39, 101, 303, 1313, 3939

The factors of 5774 are 1, 2, 2887, 5774

The HCF of 3939,5774 is 1.

Lets's calculate GCF of 3939,5774

Greatest Common Factor (GCF) of 3939,5774 By Common Division

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

Greatest Common Factor of 3939,5774 By Matching Biggest Common Factor Method

Now, list down the factors of 3939

1,3,13,39,101,303,1313,3939

Now, list down the factors of 5774

1,2,2887,5774

Greatest Common Factor

We found the factors 3939,5774 . The biggest common factor number is the GCF number.
So the greatest common factor 3939,5774 is 1.

Lets's calculate LCM of 980,2556

Lowest Common Multiple of 980,2556 using Common Division

2	980, 2556
2	490, 1278
	245, 639

∴ So the LCM of the given numbers is 2 x 2 x 245 x 639 = 626220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/626220

Therefore, the GCF of Fractions 3939/980,5774/2556 is 1/626220

Least Common Multiple of 980,2556 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 980,2556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,2556) = 4

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

GCF(980,2556) x common factors =4 x 1 = 4

LCM(980,2556) = ( 980 × 2556 ) / 4

LCM(980,2556) = 2504880 / 4

LCM(980,2556) = 626220

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3939/980, 5774/2556

1. What is the HCF of 3939,5774?

The HCF of 3939,5774 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 3939/980, 5774/2556?

Answer: GCF of Numerators as per given numbers 3939/980, 5774/2556 is

GCF of Numerators i.e. for 3939,5774 is 1

LCM of denominators i.e. for 980,2556 is 626220.

Thus, GCF of Fractions is 1/626220.Finally, GCF of Fractions for 3939/980, 5774/2556 is 1/626220.