How to Find GCF of 9670/936, 8597/872?

GCF of 9670/936, 8597/872

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 9670/936, 8597/872 i.e 1/102024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9670/936, 8597/872.

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 9670/936,8597/872?

Given fractions are 9670/936,8597/872

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 9670/936,8597/872, numerators are 9670,8597

Denominators are 936,872

The GCF of 9670,8597 is 1 .

LCM of 936,872 is 102024.

The greatest common factor of 9670/936,8597/872 = [GCF of 9670,8597]/[LCM of 936,872]= 1/102024

Therefore, the GCF of 9670/936,8597/872 is 1/102024.

Greatest Common Factor of 9670,8597

To find the highest common factor of 9670,8597, we have to find the factors of both numbers and list the highest common factor.

The factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670

The factors of 8597 are 1, 8597

The HCF of 9670,8597 is 1.

Lets's calculate GCF of 9670,8597

Greatest Common Factor (GCF) of 9670,8597 By Common Division

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

Greatest Common Factor of 9670,8597 By Matching Biggest Common Factor Method

Now, list down the factors of 9670

1,2,5,10,967,1934,4835,9670

Now, list down the factors of 8597

1,8597

Greatest Common Factor

We found the factors 9670,8597 . The biggest common factor number is the GCF number.
So the greatest common factor 9670,8597 is 1.

Lets's calculate LCM of 936,872

Lowest Common Multiple of 936,872 using Common Division

2	936, 872
2	468, 436
2	234, 218
	117, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 117 x 109 = 102024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102024

Therefore, the GCF of Fractions 9670/936,8597/872 is 1/102024

Least Common Multiple of 936,872 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 936,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,872) = 8

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

GCF(936,872) x common factors =8 x 1 = 8

LCM(936,872) = ( 936 × 872 ) / 8

LCM(936,872) = 816192 / 8

LCM(936,872) = 102024

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FAQs on GCF of Fractions of 9670/936, 8597/872

1. What is the HCF of 9670,8597?

The HCF of 9670,8597 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 9670/936, 8597/872?

Answer: GCF of Numerators as per given numbers 9670/936, 8597/872 is

GCF of Numerators i.e. for 9670,8597 is 1

LCM of denominators i.e. for 936,872 is 102024.

Thus, GCF of Fractions is 1/102024.Finally, GCF of Fractions for 9670/936, 8597/872 is 1/102024.