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GCF of 2784/621, 8472/7989

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 2784/621, 8472/7989 i.e 24/1653723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2784/621, 8472/7989.

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 2784/621,8472/7989?

Given fractions are 2784/621,8472/7989

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 2784/621,8472/7989, numerators are 2784,8472

Denominators are 621,7989

The GCF of 2784,8472 is 24 .

LCM of 621,7989 is 1653723.

The greatest common factor of 2784/621,8472/7989 = [GCF of 2784,8472]/[LCM of 621,7989]= 24/1653723

Therefore, the GCF of 2784/621,8472/7989 is 24/1653723.

Greatest Common Factor of 2784,8472

To find the highest common factor of 2784,8472, we have to find the factors of both numbers and list the highest common factor.

The factors of 2784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784

The factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472

The HCF of 2784,8472 is 24.

Lets's calculate GCF of 2784,8472

Greatest Common Factor (GCF) of 2784,8472 By Common Division

2 2784, 8472
2 1392, 4236
2 696, 2118
3 348, 1059
116, 353

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 2784,8472 By Matching Biggest Common Factor Method

Greatest Common Factor of 2784,8472 By Matching Biggest Common Factor Method

Now, list down the factors of 2784

:

1,2,3,4,6,8,12,16,24,29,32,48,58,87,96,116,174,232,348,464,696,928,1392,2784

Now, list down the factors of 8472

:

1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472

Greatest Common Factor

We found the factors 2784,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 2784,8472 is 24.


Lets's calculate LCM of 621,7989

Lowest Common Multiple of 621,7989 using Common Division

3 621, 7989
207, 2663

∴ So the LCM of the given numbers is 3 x 207 x 2663 = 1653723

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/1653723

Therefore, the GCF of Fractions 2784/621,8472/7989 is 24/1653723

Least Common Multiple of 621,7989 with GCF Formula

Least Common Multiple of 621,7989 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 621,7989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,7989) = 3

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

GCF(621,7989) x common factors =3 x 1 = 3

LCM(621,7989) = ( 621 × 7989 ) / 3

LCM(621,7989) = 4961169 / 3

LCM(621,7989) = 1653723


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2784/621, 8472/7989

1. What is the HCF of 2784,8472?

The HCF of 2784,8472 is 24

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 2784/621, 8472/7989?

Answer: GCF of Numerators as per given numbers 2784/621, 8472/7989 is

GCF of Numerators i.e. for 2784,8472 is 24

LCM of denominators i.e. for 621,7989 is 1653723.

Thus, GCF of Fractions is 24/1653723.Finally, GCF of Fractions for 2784/621, 8472/7989 is 24/1653723.