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GCF of 4986/638, 5067/358

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 4986/638, 5067/358 i.e 9/114202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4986/638, 5067/358.

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 4986/638,5067/358?

Given fractions are 4986/638,5067/358

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 4986/638,5067/358, numerators are 4986,5067

Denominators are 638,358

The GCF of 4986,5067 is 9 .

LCM of 638,358 is 114202.

The greatest common factor of 4986/638,5067/358 = [GCF of 4986,5067]/[LCM of 638,358]= 9/114202

Therefore, the GCF of 4986/638,5067/358 is 9/114202.

Greatest Common Factor of 4986,5067

To find the highest common factor of 4986,5067, we have to find the factors of both numbers and list the highest common factor.

The factors of 4986 are 1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986

The factors of 5067 are 1, 3, 9, 563, 1689, 5067

The HCF of 4986,5067 is 9.

Lets's calculate GCF of 4986,5067

Greatest Common Factor (GCF) of 4986,5067 By Common Division

3 4986, 5067
3 1662, 1689
554, 563

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4986,5067 By Matching Biggest Common Factor Method

Greatest Common Factor of 4986,5067 By Matching Biggest Common Factor Method

Now, list down the factors of 4986

:

1,2,3,6,9,18,277,554,831,1662,2493,4986

Now, list down the factors of 5067

:

1,3,9,563,1689,5067

Greatest Common Factor

We found the factors 4986,5067 . The biggest common factor number is the GCF number.
So the greatest common factor 4986,5067 is 9.


Lets's calculate LCM of 638,358

Lowest Common Multiple of 638,358 using Common Division

2 638, 358
319, 179

∴ So the LCM of the given numbers is 2 x 319 x 179 = 114202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/114202

Therefore, the GCF of Fractions 4986/638,5067/358 is 9/114202

Least Common Multiple of 638,358 with GCF Formula

Least Common Multiple of 638,358 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 638,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,358) = 2

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

GCF(638,358) x common factors =2 x 1 = 2

LCM(638,358) = ( 638 × 358 ) / 2

LCM(638,358) = 228404 / 2

LCM(638,358) = 114202


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4986/638, 5067/358

1. What is the HCF of 4986,5067?

The HCF of 4986,5067 is 9

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 4986/638, 5067/358?

Answer: GCF of Numerators as per given numbers 4986/638, 5067/358 is

GCF of Numerators i.e. for 4986,5067 is 9

LCM of denominators i.e. for 638,358 is 114202.

Thus, GCF of Fractions is 9/114202.Finally, GCF of Fractions for 4986/638, 5067/358 is 9/114202.