How to Find GCF of 5589/780, 6788/6044?

GCF of 5589/780, 6788/6044

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 5589/780, 6788/6044 i.e 1/1178580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5589/780, 6788/6044.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5589/780,6788/6044?

Given fractions are 5589/780,6788/6044

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 5589/780,6788/6044, numerators are 5589,6788

Denominators are 780,6044

The GCF of 5589,6788 is 1 .

LCM of 780,6044 is 1178580.

The greatest common factor of 5589/780,6788/6044 = [GCF of 5589,6788]/[LCM of 780,6044]= 1/1178580

Therefore, the GCF of 5589/780,6788/6044 is 1/1178580.

Greatest Common Factor of 5589,6788

To find the highest common factor of 5589,6788, we have to find the factors of both numbers and list the highest common factor.

The factors of 5589 are 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589

The factors of 6788 are 1, 2, 4, 1697, 3394, 6788

The HCF of 5589,6788 is 1.

Lets's calculate GCF of 5589,6788

Greatest Common Factor (GCF) of 5589,6788 By Common Division

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

Greatest Common Factor of 5589,6788 By Matching Biggest Common Factor Method

Now, list down the factors of 5589

1,3,9,23,27,69,81,207,243,621,1863,5589

Now, list down the factors of 6788

1,2,4,1697,3394,6788

Greatest Common Factor

We found the factors 5589,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 5589,6788 is 1.

Lets's calculate LCM of 780,6044

Lowest Common Multiple of 780,6044 using Common Division

2	780, 6044
2	390, 3022
	195, 1511

∴ So the LCM of the given numbers is 2 x 2 x 195 x 1511 = 1178580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1178580

Therefore, the GCF of Fractions 5589/780,6788/6044 is 1/1178580

Least Common Multiple of 780,6044 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 780,6044 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,6044) = 4

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

GCF(780,6044) x common factors =4 x 1 = 4

LCM(780,6044) = ( 780 × 6044 ) / 4

LCM(780,6044) = 4714320 / 4

LCM(780,6044) = 1178580

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FAQs on GCF of Fractions of 5589/780, 6788/6044

1. What is the HCF of 5589,6788?

The HCF of 5589,6788 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 5589/780, 6788/6044?

Answer: GCF of Numerators as per given numbers 5589/780, 6788/6044 is

GCF of Numerators i.e. for 5589,6788 is 1

LCM of denominators i.e. for 780,6044 is 1178580.

Thus, GCF of Fractions is 1/1178580.Finally, GCF of Fractions for 5589/780, 6788/6044 is 1/1178580.