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GCF of 4814/285, 1627/672

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 4814/285, 1627/672 i.e 1/63840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4814/285, 1627/672.

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 4814/285,1627/672?

Given fractions are 4814/285,1627/672

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 4814/285,1627/672, numerators are 4814,1627

Denominators are 285,672

The GCF of 4814,1627 is 1 .

LCM of 285,672 is 63840.

The greatest common factor of 4814/285,1627/672 = [GCF of 4814,1627]/[LCM of 285,672]= 1/63840

Therefore, the GCF of 4814/285,1627/672 is 1/63840.

Greatest Common Factor of 4814,1627

To find the highest common factor of 4814,1627, we have to find the factors of both numbers and list the highest common factor.

The factors of 4814 are 1, 2, 29, 58, 83, 166, 2407, 4814

The factors of 1627 are 1, 1627

The HCF of 4814,1627 is 1.

Lets's calculate GCF of 4814,1627

Greatest Common Factor (GCF) of 4814,1627 By Common Division

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

Greatest Common Factor of 4814,1627 By Matching Biggest Common Factor Method

Greatest Common Factor of 4814,1627 By Matching Biggest Common Factor Method

Now, list down the factors of 4814

:

1,2,29,58,83,166,2407,4814

Now, list down the factors of 1627

:

1,1627

Greatest Common Factor

We found the factors 4814,1627 . The biggest common factor number is the GCF number.
So the greatest common factor 4814,1627 is 1.

Lets's calculate LCM of 285,672

Lowest Common Multiple of 285,672 using Common Division

3 285, 672
95, 224

∴ So the LCM of the given numbers is 3 x 95 x 224 = 63840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63840

Therefore, the GCF of Fractions 4814/285,1627/672 is 1/63840

Least Common Multiple of 285,672 with GCF Formula

Least Common Multiple of 285,672 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 285,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,672) = 3

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

GCF(285,672) x common factors =3 x 1 = 3

LCM(285,672) = ( 285 × 672 ) / 3

LCM(285,672) = 191520 / 3

LCM(285,672) = 63840


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FAQs on GCF of Fractions of 4814/285, 1627/672

1. What is the HCF of 4814,1627?

The HCF of 4814,1627 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 4814/285, 1627/672?

Answer: GCF of Numerators as per given numbers 4814/285, 1627/672 is

GCF of Numerators i.e. for 4814,1627 is 1

LCM of denominators i.e. for 285,672 is 63840.

Thus, GCF of Fractions is 1/63840.Finally, GCF of Fractions for 4814/285, 1627/672 is 1/63840.