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GCF of 4863/214, 2677/6286

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 4863/214, 2677/6286 i.e 1/672602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4863/214, 2677/6286.

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 4863/214,2677/6286?

Given fractions are 4863/214,2677/6286

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 4863/214,2677/6286, numerators are 4863,2677

Denominators are 214,6286

The GCF of 4863,2677 is 1 .

LCM of 214,6286 is 672602.

The greatest common factor of 4863/214,2677/6286 = [GCF of 4863,2677]/[LCM of 214,6286]= 1/672602

Therefore, the GCF of 4863/214,2677/6286 is 1/672602.

Greatest Common Factor of 4863,2677

To find the highest common factor of 4863,2677, we have to find the factors of both numbers and list the highest common factor.

The factors of 4863 are 1, 3, 1621, 4863

The factors of 2677 are 1, 2677

The HCF of 4863,2677 is 1.

Lets's calculate GCF of 4863,2677

Greatest Common Factor (GCF) of 4863,2677 By Common Division

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

Greatest Common Factor of 4863,2677 By Matching Biggest Common Factor Method

Greatest Common Factor of 4863,2677 By Matching Biggest Common Factor Method

Now, list down the factors of 4863

:

1,3,1621,4863

Now, list down the factors of 2677

:

1,2677

Greatest Common Factor

We found the factors 4863,2677 . The biggest common factor number is the GCF number.
So the greatest common factor 4863,2677 is 1.

Lets's calculate LCM of 214,6286

Lowest Common Multiple of 214,6286 using Common Division

2 214, 6286
107, 3143

∴ So the LCM of the given numbers is 2 x 107 x 3143 = 672602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672602

Therefore, the GCF of Fractions 4863/214,2677/6286 is 1/672602

Least Common Multiple of 214,6286 with GCF Formula

Least Common Multiple of 214,6286 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 214,6286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,6286) = 2

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

GCF(214,6286) x common factors =2 x 1 = 2

LCM(214,6286) = ( 214 × 6286 ) / 2

LCM(214,6286) = 1345204 / 2

LCM(214,6286) = 672602


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FAQs on GCF of Fractions of 4863/214, 2677/6286

1. What is the HCF of 4863,2677?

The HCF of 4863,2677 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 4863/214, 2677/6286?

Answer: GCF of Numerators as per given numbers 4863/214, 2677/6286 is

GCF of Numerators i.e. for 4863,2677 is 1

LCM of denominators i.e. for 214,6286 is 672602.

Thus, GCF of Fractions is 1/672602.Finally, GCF of Fractions for 4863/214, 2677/6286 is 1/672602.