How to Find GCF of 9770/664, 8230/9723?

GCF of 9770/664, 8230/9723

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 9770/664, 8230/9723 i.e 10/6456072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9770/664, 8230/9723.

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 9770/664,8230/9723?

Given fractions are 9770/664,8230/9723

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 9770/664,8230/9723, numerators are 9770,8230

Denominators are 664,9723

The GCF of 9770,8230 is 10 .

LCM of 664,9723 is 6456072.

The greatest common factor of 9770/664,8230/9723 = [GCF of 9770,8230]/[LCM of 664,9723]= 10/6456072

Therefore, the GCF of 9770/664,8230/9723 is 10/6456072.

Greatest Common Factor of 9770,8230

To find the highest common factor of 9770,8230, we have to find the factors of both numbers and list the highest common factor.

The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770

The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230

The HCF of 9770,8230 is 10.

Lets's calculate GCF of 9770,8230

Greatest Common Factor (GCF) of 9770,8230 By Common Division

2	9770, 8230
5	4885, 4115
	977, 823

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9770,8230 By Matching Biggest Common Factor Method

Now, list down the factors of 9770

1,2,5,10,977,1954,4885,9770

Now, list down the factors of 8230

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 9770,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 9770,8230 is 10.

Lets's calculate LCM of 664,9723

Lowest Common Multiple of 664,9723 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6456072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6456072

Therefore, the GCF of Fractions 9770/664,8230/9723 is 10/6456072

Least Common Multiple of 664,9723 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 664,9723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,9723) = 1

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

GCF(664,9723) x common factors =1 x 1 = 1

LCM(664,9723) = ( 664 × 9723 ) / 1

LCM(664,9723) = 6456072 / 1

LCM(664,9723) = 6456072

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9770/664, 8230/9723

1. What is the HCF of 9770,8230?

The HCF of 9770,8230 is 10

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 9770/664, 8230/9723?

Answer: GCF of Numerators as per given numbers 9770/664, 8230/9723 is

GCF of Numerators i.e. for 9770,8230 is 10

LCM of denominators i.e. for 664,9723 is 6456072.

Thus, GCF of Fractions is 10/6456072.Finally, GCF of Fractions for 9770/664, 8230/9723 is 10/6456072.