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GCF of 7789/944, 3996/580

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 7789/944, 3996/580 i.e 1/136880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7789/944, 3996/580.

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 7789/944,3996/580?

Given fractions are 7789/944,3996/580

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 7789/944,3996/580, numerators are 7789,3996

Denominators are 944,580

The GCF of 7789,3996 is 1 .

LCM of 944,580 is 136880.

The greatest common factor of 7789/944,3996/580 = [GCF of 7789,3996]/[LCM of 944,580]= 1/136880

Therefore, the GCF of 7789/944,3996/580 is 1/136880.

Greatest Common Factor of 7789,3996

To find the highest common factor of 7789,3996, we have to find the factors of both numbers and list the highest common factor.

The factors of 7789 are 1, 7789

The factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996

The HCF of 7789,3996 is 1.

Lets's calculate GCF of 7789,3996

Greatest Common Factor (GCF) of 7789,3996 By Common Division

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

Greatest Common Factor of 7789,3996 By Matching Biggest Common Factor Method

Greatest Common Factor of 7789,3996 By Matching Biggest Common Factor Method

Now, list down the factors of 7789

:

1,7789

Now, list down the factors of 3996

:

1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996

Greatest Common Factor

We found the factors 7789,3996 . The biggest common factor number is the GCF number.
So the greatest common factor 7789,3996 is 1.


Lets's calculate LCM of 944,580

Lowest Common Multiple of 944,580 using Common Division

2 944, 580
2 472, 290
236, 145

∴ So the LCM of the given numbers is 2 x 2 x 236 x 145 = 136880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136880

Therefore, the GCF of Fractions 7789/944,3996/580 is 1/136880

Least Common Multiple of 944,580 with GCF Formula

Least Common Multiple of 944,580 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 944,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,580) = 4

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

GCF(944,580) x common factors =4 x 1 = 4

LCM(944,580) = ( 944 × 580 ) / 4

LCM(944,580) = 547520 / 4

LCM(944,580) = 136880


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7789/944, 3996/580

1. What is the HCF of 7789,3996?

The HCF of 7789,3996 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 7789/944, 3996/580?

Answer: GCF of Numerators as per given numbers 7789/944, 3996/580 is

GCF of Numerators i.e. for 7789,3996 is 1

LCM of denominators i.e. for 944,580 is 136880.

Thus, GCF of Fractions is 1/136880.Finally, GCF of Fractions for 7789/944, 3996/580 is 1/136880.