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GCF of 4857/644, 3842/188

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 4857/644, 3842/188 i.e 1/30268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4857/644, 3842/188.

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 4857/644,3842/188?

Given fractions are 4857/644,3842/188

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 4857/644,3842/188, numerators are 4857,3842

Denominators are 644,188

The GCF of 4857,3842 is 1 .

LCM of 644,188 is 30268.

The greatest common factor of 4857/644,3842/188 = [GCF of 4857,3842]/[LCM of 644,188]= 1/30268

Therefore, the GCF of 4857/644,3842/188 is 1/30268.

Greatest Common Factor of 4857,3842

To find the highest common factor of 4857,3842, we have to find the factors of both numbers and list the highest common factor.

The factors of 4857 are 1, 3, 1619, 4857

The factors of 3842 are 1, 2, 17, 34, 113, 226, 1921, 3842

The HCF of 4857,3842 is 1.

Lets's calculate GCF of 4857,3842

Greatest Common Factor (GCF) of 4857,3842 By Common Division

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

Greatest Common Factor of 4857,3842 By Matching Biggest Common Factor Method

Greatest Common Factor of 4857,3842 By Matching Biggest Common Factor Method

Now, list down the factors of 4857

:

1,3,1619,4857

Now, list down the factors of 3842

:

1,2,17,34,113,226,1921,3842

Greatest Common Factor

We found the factors 4857,3842 . The biggest common factor number is the GCF number.
So the greatest common factor 4857,3842 is 1.

Lets's calculate LCM of 644,188

Lowest Common Multiple of 644,188 using Common Division

2 644, 188
2 322, 94
161, 47

∴ So the LCM of the given numbers is 2 x 2 x 161 x 47 = 30268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30268

Therefore, the GCF of Fractions 4857/644,3842/188 is 1/30268

Least Common Multiple of 644,188 with GCF Formula

Least Common Multiple of 644,188 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 644,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,188) = 4

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

GCF(644,188) x common factors =4 x 1 = 4

LCM(644,188) = ( 644 × 188 ) / 4

LCM(644,188) = 121072 / 4

LCM(644,188) = 30268


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FAQs on GCF of Fractions of 4857/644, 3842/188

1. What is the HCF of 4857,3842?

The HCF of 4857,3842 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 4857/644, 3842/188?

Answer: GCF of Numerators as per given numbers 4857/644, 3842/188 is

GCF of Numerators i.e. for 4857,3842 is 1

LCM of denominators i.e. for 644,188 is 30268.

Thus, GCF of Fractions is 1/30268.Finally, GCF of Fractions for 4857/644, 3842/188 is 1/30268.