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GCF of 4909/644, 2077/322

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 4909/644, 2077/322 i.e 1/644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4909/644, 2077/322.

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 4909/644,2077/322?

Given fractions are 4909/644,2077/322

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 4909/644,2077/322, numerators are 4909,2077

Denominators are 644,322

The GCF of 4909,2077 is 1 .

LCM of 644,322 is 644.

The greatest common factor of 4909/644,2077/322 = [GCF of 4909,2077]/[LCM of 644,322]= 1/644

Therefore, the GCF of 4909/644,2077/322 is 1/644.

Greatest Common Factor of 4909,2077

To find the highest common factor of 4909,2077, 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 2077 are 1, 31, 67, 2077

The HCF of 4909,2077 is 1.

Lets's calculate GCF of 4909,2077

Greatest Common Factor (GCF) of 4909,2077 By Common Division

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

Greatest Common Factor of 4909,2077 By Matching Biggest Common Factor Method

Greatest Common Factor of 4909,2077 By Matching Biggest Common Factor Method

Now, list down the factors of 4909

:

1,4909

Now, list down the factors of 2077

:

1,31,67,2077

Greatest Common Factor

We found the factors 4909,2077 . The biggest common factor number is the GCF number.
So the greatest common factor 4909,2077 is 1.

Lets's calculate LCM of 644,322

Lowest Common Multiple of 644,322 using Common Division

2 644, 322
7 322, 161
23 46, 23
2, 1

∴ So the LCM of the given numbers is 2 x 7 x 23 x 2 x 1 = 644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/644

Therefore, the GCF of Fractions 4909/644,2077/322 is 1/644

Least Common Multiple of 644,322 with GCF Formula

Least Common Multiple of 644,322 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 644,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,322) = 322

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

GCF(644,322) x common factors =322 x 1 = 322

LCM(644,322) = ( 644 × 322 ) / 322

LCM(644,322) = 207368 / 322

LCM(644,322) = 644


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FAQs on GCF of Fractions of 4909/644, 2077/322

1. What is the HCF of 4909,2077?

The HCF of 4909,2077 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 4909/644, 2077/322?

Answer: GCF of Numerators as per given numbers 4909/644, 2077/322 is

GCF of Numerators i.e. for 4909,2077 is 1

LCM of denominators i.e. for 644,322 is 644.

Thus, GCF of Fractions is 1/644.Finally, GCF of Fractions for 4909/644, 2077/322 is 1/644.