How to Find GCF of 9685/240, 2626/852?

GCF of 9685/240, 2626/852

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 9685/240, 2626/852 i.e 13/17040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9685/240, 2626/852.

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 9685/240,2626/852?

Given fractions are 9685/240,2626/852

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 9685/240,2626/852, numerators are 9685,2626

Denominators are 240,852

The GCF of 9685,2626 is 13 .

LCM of 240,852 is 17040.

The greatest common factor of 9685/240,2626/852 = [GCF of 9685,2626]/[LCM of 240,852]= 13/17040

Therefore, the GCF of 9685/240,2626/852 is 13/17040.

Greatest Common Factor of 9685,2626

To find the highest common factor of 9685,2626, we have to find the factors of both numbers and list the highest common factor.

The factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685

The factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626

The HCF of 9685,2626 is 13.

Lets's calculate GCF of 9685,2626

Greatest Common Factor (GCF) of 9685,2626 By Common Division

13	9685, 2626
	745, 202

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9685,2626 By Matching Biggest Common Factor Method

Now, list down the factors of 9685

1,5,13,65,149,745,1937,9685

Now, list down the factors of 2626

1,2,13,26,101,202,1313,2626

Greatest Common Factor

We found the factors 9685,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 9685,2626 is 13.

Lets's calculate LCM of 240,852

Lowest Common Multiple of 240,852 using Common Division

2	240, 852
2	120, 426
3	60, 213
	20, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 71 = 17040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/17040

Therefore, the GCF of Fractions 9685/240,2626/852 is 13/17040

Least Common Multiple of 240,852 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 240,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,852) = 12

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

GCF(240,852) x common factors =12 x 1 = 12

LCM(240,852) = ( 240 × 852 ) / 12

LCM(240,852) = 204480 / 12

LCM(240,852) = 17040

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FAQs on GCF of Fractions of 9685/240, 2626/852

1. What is the HCF of 9685,2626?

The HCF of 9685,2626 is 13

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 9685/240, 2626/852?

Answer: GCF of Numerators as per given numbers 9685/240, 2626/852 is

GCF of Numerators i.e. for 9685,2626 is 13

LCM of denominators i.e. for 240,852 is 17040.

Thus, GCF of Fractions is 13/17040.Finally, GCF of Fractions for 9685/240, 2626/852 is 13/17040.