How to Find GCF of 9683/510, 2106/8814?

GCF of 9683/510, 2106/8814

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 9683/510, 2106/8814 i.e 1/749190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9683/510, 2106/8814.

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 9683/510,2106/8814?

Given fractions are 9683/510,2106/8814

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 9683/510,2106/8814, numerators are 9683,2106

Denominators are 510,8814

The GCF of 9683,2106 is 1 .

LCM of 510,8814 is 749190.

The greatest common factor of 9683/510,2106/8814 = [GCF of 9683,2106]/[LCM of 510,8814]= 1/749190

Therefore, the GCF of 9683/510,2106/8814 is 1/749190.

Greatest Common Factor of 9683,2106

To find the highest common factor of 9683,2106, we have to find the factors of both numbers and list the highest common factor.

The factors of 9683 are 1, 23, 421, 9683

The factors of 2106 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106

The HCF of 9683,2106 is 1.

Lets's calculate GCF of 9683,2106

Greatest Common Factor (GCF) of 9683,2106 By Common Division

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

Greatest Common Factor of 9683,2106 By Matching Biggest Common Factor Method

Now, list down the factors of 9683

1,23,421,9683

Now, list down the factors of 2106

1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,351,702,1053,2106

Greatest Common Factor

We found the factors 9683,2106 . The biggest common factor number is the GCF number.
So the greatest common factor 9683,2106 is 1.

Lets's calculate LCM of 510,8814

Lowest Common Multiple of 510,8814 using Common Division

2	510, 8814
3	255, 4407
	85, 1469

∴ So the LCM of the given numbers is 2 x 3 x 85 x 1469 = 749190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749190

Therefore, the GCF of Fractions 9683/510,2106/8814 is 1/749190

Least Common Multiple of 510,8814 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 510,8814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,8814) = 6

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

GCF(510,8814) x common factors =6 x 1 = 6

LCM(510,8814) = ( 510 × 8814 ) / 6

LCM(510,8814) = 4495140 / 6

LCM(510,8814) = 749190

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9683/510, 2106/8814

1. What is the HCF of 9683,2106?

The HCF of 9683,2106 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 9683/510, 2106/8814?

Answer: GCF of Numerators as per given numbers 9683/510, 2106/8814 is

GCF of Numerators i.e. for 9683,2106 is 1

LCM of denominators i.e. for 510,8814 is 749190.

Thus, GCF of Fractions is 1/749190.Finally, GCF of Fractions for 9683/510, 2106/8814 is 1/749190.