How to Find GCF of 9317/849, 8855/9470?

GCF of 9317/849, 8855/9470

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 9317/849, 8855/9470 i.e 77/8040030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9317/849, 8855/9470.

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 9317/849,8855/9470?

Given fractions are 9317/849,8855/9470

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 9317/849,8855/9470, numerators are 9317,8855

Denominators are 849,9470

The GCF of 9317,8855 is 77 .

LCM of 849,9470 is 8040030.

The greatest common factor of 9317/849,8855/9470 = [GCF of 9317,8855]/[LCM of 849,9470]= 77/8040030

Therefore, the GCF of 9317/849,8855/9470 is 77/8040030.

Greatest Common Factor of 9317,8855

To find the highest common factor of 9317,8855, we have to find the factors of both numbers and list the highest common factor.

The factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317

The factors of 8855 are 1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855

The HCF of 9317,8855 is 77.

Lets's calculate GCF of 9317,8855

Greatest Common Factor (GCF) of 9317,8855 By Common Division

7	9317, 8855
11	1331, 1265
	121, 115

∴ So the GCF of the given numbers is 7 x 11 = 77

Greatest Common Factor of 9317,8855 By Matching Biggest Common Factor Method

Now, list down the factors of 9317

1,7,11,77,121,847,1331,9317

Now, list down the factors of 8855

1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855

Greatest Common Factor

We found the factors 9317,8855 . The biggest common factor number is the GCF number.
So the greatest common factor 9317,8855 is 77.

Lets's calculate LCM of 849,9470

Lowest Common Multiple of 849,9470 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8040030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/8040030

Therefore, the GCF of Fractions 9317/849,8855/9470 is 77/8040030

Least Common Multiple of 849,9470 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 849,9470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,9470) = 1

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

GCF(849,9470) x common factors =1 x 1 = 1

LCM(849,9470) = ( 849 × 9470 ) / 1

LCM(849,9470) = 8040030 / 1

LCM(849,9470) = 8040030

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9317/849, 8855/9470

1. What is the HCF of 9317,8855?

The HCF of 9317,8855 is 77

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 9317/849, 8855/9470?

Answer: GCF of Numerators as per given numbers 9317/849, 8855/9470 is

GCF of Numerators i.e. for 9317,8855 is 77

LCM of denominators i.e. for 849,9470 is 8040030.

Thus, GCF of Fractions is 77/8040030.Finally, GCF of Fractions for 9317/849, 8855/9470 is 77/8040030.