How to Find GCF of 8790/776, 8443/988?

GCF of 8790/776, 8443/988

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 8790/776, 8443/988 i.e 1/191672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8790/776, 8443/988.

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 8790/776,8443/988?

Given fractions are 8790/776,8443/988

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 8790/776,8443/988, numerators are 8790,8443

Denominators are 776,988

The GCF of 8790,8443 is 1 .

LCM of 776,988 is 191672.

The greatest common factor of 8790/776,8443/988 = [GCF of 8790,8443]/[LCM of 776,988]= 1/191672

Therefore, the GCF of 8790/776,8443/988 is 1/191672.

Greatest Common Factor of 8790,8443

To find the highest common factor of 8790,8443, we have to find the factors of both numbers and list the highest common factor.

The factors of 8790 are 1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790

The factors of 8443 are 1, 8443

The HCF of 8790,8443 is 1.

Lets's calculate GCF of 8790,8443

Greatest Common Factor (GCF) of 8790,8443 By Common Division

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

Greatest Common Factor of 8790,8443 By Matching Biggest Common Factor Method

Now, list down the factors of 8790

1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790

Now, list down the factors of 8443

1,8443

Greatest Common Factor

We found the factors 8790,8443 . The biggest common factor number is the GCF number.
So the greatest common factor 8790,8443 is 1.

Lets's calculate LCM of 776,988

Lowest Common Multiple of 776,988 using Common Division

2	776, 988
2	388, 494
	194, 247

∴ So the LCM of the given numbers is 2 x 2 x 194 x 247 = 191672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191672

Therefore, the GCF of Fractions 8790/776,8443/988 is 1/191672

Least Common Multiple of 776,988 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 776,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,988) = 4

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

GCF(776,988) x common factors =4 x 1 = 4

LCM(776,988) = ( 776 × 988 ) / 4

LCM(776,988) = 766688 / 4

LCM(776,988) = 191672

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FAQs on GCF of Fractions of 8790/776, 8443/988

1. What is the HCF of 8790,8443?

The HCF of 8790,8443 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 8790/776, 8443/988?

Answer: GCF of Numerators as per given numbers 8790/776, 8443/988 is

GCF of Numerators i.e. for 8790,8443 is 1

LCM of denominators i.e. for 776,988 is 191672.

Thus, GCF of Fractions is 1/191672.Finally, GCF of Fractions for 8790/776, 8443/988 is 1/191672.