How to Find GCF of 8783/490, 9021/1812?

GCF of 8783/490, 9021/1812

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 8783/490, 9021/1812 i.e 1/443940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8783/490, 9021/1812.

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 8783/490,9021/1812?

Given fractions are 8783/490,9021/1812

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 8783/490,9021/1812, numerators are 8783,9021

Denominators are 490,1812

The GCF of 8783,9021 is 1 .

LCM of 490,1812 is 443940.

The greatest common factor of 8783/490,9021/1812 = [GCF of 8783,9021]/[LCM of 490,1812]= 1/443940

Therefore, the GCF of 8783/490,9021/1812 is 1/443940.

Greatest Common Factor of 8783,9021

To find the highest common factor of 8783,9021, we have to find the factors of both numbers and list the highest common factor.

The factors of 8783 are 1, 8783

The factors of 9021 are 1, 3, 31, 93, 97, 291, 3007, 9021

The HCF of 8783,9021 is 1.

Lets's calculate GCF of 8783,9021

Greatest Common Factor (GCF) of 8783,9021 By Common Division

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

Greatest Common Factor of 8783,9021 By Matching Biggest Common Factor Method

Now, list down the factors of 8783

1,8783

Now, list down the factors of 9021

1,3,31,93,97,291,3007,9021

Greatest Common Factor

We found the factors 8783,9021 . The biggest common factor number is the GCF number.
So the greatest common factor 8783,9021 is 1.

Lets's calculate LCM of 490,1812

Lowest Common Multiple of 490,1812 using Common Division

2	490, 1812
	245, 906

∴ So the LCM of the given numbers is 2 x 245 x 906 = 443940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/443940

Therefore, the GCF of Fractions 8783/490,9021/1812 is 1/443940

Least Common Multiple of 490,1812 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 490,1812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,1812) = 2

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

GCF(490,1812) x common factors =2 x 1 = 2

LCM(490,1812) = ( 490 × 1812 ) / 2

LCM(490,1812) = 887880 / 2

LCM(490,1812) = 443940

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FAQs on GCF of Fractions of 8783/490, 9021/1812

1. What is the HCF of 8783,9021?

The HCF of 8783,9021 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 8783/490, 9021/1812?

Answer: GCF of Numerators as per given numbers 8783/490, 9021/1812 is

GCF of Numerators i.e. for 8783,9021 is 1

LCM of denominators i.e. for 490,1812 is 443940.

Thus, GCF of Fractions is 1/443940.Finally, GCF of Fractions for 8783/490, 9021/1812 is 1/443940.