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GCF of 4909/616, 4775/574

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 4909/616, 4775/574 i.e 1/25256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4909/616, 4775/574.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4909/616,4775/574?

Given fractions are 4909/616,4775/574

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 4909/616,4775/574, numerators are 4909,4775

Denominators are 616,574

The GCF of 4909,4775 is 1 .

LCM of 616,574 is 25256.

The greatest common factor of 4909/616,4775/574 = [GCF of 4909,4775]/[LCM of 616,574]= 1/25256

Therefore, the GCF of 4909/616,4775/574 is 1/25256.

Greatest Common Factor of 4909,4775

To find the highest common factor of 4909,4775, we have to find the factors of both numbers and list the highest common factor.

The factors of 4909 are 1, 4909

The factors of 4775 are 1, 5, 25, 191, 955, 4775

The HCF of 4909,4775 is 1.

Lets's calculate GCF of 4909,4775

Greatest Common Factor (GCF) of 4909,4775 By Common Division

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

Greatest Common Factor of 4909,4775 By Matching Biggest Common Factor Method

Greatest Common Factor of 4909,4775 By Matching Biggest Common Factor Method

Now, list down the factors of 4909

:

1,4909

Now, list down the factors of 4775

:

1,5,25,191,955,4775

Greatest Common Factor

We found the factors 4909,4775 . The biggest common factor number is the GCF number.
So the greatest common factor 4909,4775 is 1.

Lets's calculate LCM of 616,574

Lowest Common Multiple of 616,574 using Common Division

2 616, 574
7 308, 287
44, 41

∴ So the LCM of the given numbers is 2 x 7 x 44 x 41 = 25256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25256

Therefore, the GCF of Fractions 4909/616,4775/574 is 1/25256

Least Common Multiple of 616,574 with GCF Formula

Least Common Multiple of 616,574 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 616,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,574) = 14

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

GCF(616,574) x common factors =14 x 1 = 14

LCM(616,574) = ( 616 × 574 ) / 14

LCM(616,574) = 353584 / 14

LCM(616,574) = 25256


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FAQs on GCF of Fractions of 4909/616, 4775/574

1. What is the HCF of 4909,4775?

The HCF of 4909,4775 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 4909/616, 4775/574?

Answer: GCF of Numerators as per given numbers 4909/616, 4775/574 is

GCF of Numerators i.e. for 4909,4775 is 1

LCM of denominators i.e. for 616,574 is 25256.

Thus, GCF of Fractions is 1/25256.Finally, GCF of Fractions for 4909/616, 4775/574 is 1/25256.