How to Find GCF of 8837/780, 5800/7636?

GCF of 8837/780, 5800/7636

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 8837/780, 5800/7636 i.e 1/1489020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8837/780, 5800/7636.

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 8837/780,5800/7636?

Given fractions are 8837/780,5800/7636

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 8837/780,5800/7636, numerators are 8837,5800

Denominators are 780,7636

The GCF of 8837,5800 is 1 .

LCM of 780,7636 is 1489020.

The greatest common factor of 8837/780,5800/7636 = [GCF of 8837,5800]/[LCM of 780,7636]= 1/1489020

Therefore, the GCF of 8837/780,5800/7636 is 1/1489020.

Greatest Common Factor of 8837,5800

To find the highest common factor of 8837,5800, we have to find the factors of both numbers and list the highest common factor.

The factors of 8837 are 1, 8837

The factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800

The HCF of 8837,5800 is 1.

Lets's calculate GCF of 8837,5800

Greatest Common Factor (GCF) of 8837,5800 By Common Division

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

Greatest Common Factor of 8837,5800 By Matching Biggest Common Factor Method

Now, list down the factors of 8837

1,8837

Now, list down the factors of 5800

1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800

Greatest Common Factor

We found the factors 8837,5800 . The biggest common factor number is the GCF number.
So the greatest common factor 8837,5800 is 1.

Lets's calculate LCM of 780,7636

Lowest Common Multiple of 780,7636 using Common Division

2	780, 7636
2	390, 3818
	195, 1909

∴ So the LCM of the given numbers is 2 x 2 x 195 x 1909 = 1489020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1489020

Therefore, the GCF of Fractions 8837/780,5800/7636 is 1/1489020

Least Common Multiple of 780,7636 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 780,7636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,7636) = 4

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

GCF(780,7636) x common factors =4 x 1 = 4

LCM(780,7636) = ( 780 × 7636 ) / 4

LCM(780,7636) = 5956080 / 4

LCM(780,7636) = 1489020

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FAQs on GCF of Fractions of 8837/780, 5800/7636

1. What is the HCF of 8837,5800?

The HCF of 8837,5800 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 8837/780, 5800/7636?

Answer: GCF of Numerators as per given numbers 8837/780, 5800/7636 is

GCF of Numerators i.e. for 8837,5800 is 1

LCM of denominators i.e. for 780,7636 is 1489020.

Thus, GCF of Fractions is 1/1489020.Finally, GCF of Fractions for 8837/780, 5800/7636 is 1/1489020.