How to Find GCF of 9685/928, 4039/7387?

GCF of 9685/928, 4039/7387

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 9685/928, 4039/7387 i.e 1/6855136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9685/928, 4039/7387.

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 9685/928,4039/7387?

Given fractions are 9685/928,4039/7387

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 9685/928,4039/7387, numerators are 9685,4039

Denominators are 928,7387

The GCF of 9685,4039 is 1 .

LCM of 928,7387 is 6855136.

The greatest common factor of 9685/928,4039/7387 = [GCF of 9685,4039]/[LCM of 928,7387]= 1/6855136

Therefore, the GCF of 9685/928,4039/7387 is 1/6855136.

Greatest Common Factor of 9685,4039

To find the highest common factor of 9685,4039, 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 4039 are 1, 7, 577, 4039

The HCF of 9685,4039 is 1.

Lets's calculate GCF of 9685,4039

Greatest Common Factor (GCF) of 9685,4039 By Common Division

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

Greatest Common Factor of 9685,4039 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 4039

1,7,577,4039

Greatest Common Factor

We found the factors 9685,4039 . The biggest common factor number is the GCF number.
So the greatest common factor 9685,4039 is 1.

Lets's calculate LCM of 928,7387

Lowest Common Multiple of 928,7387 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6855136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6855136

Therefore, the GCF of Fractions 9685/928,4039/7387 is 1/6855136

Least Common Multiple of 928,7387 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 928,7387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,7387) = 1

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

GCF(928,7387) x common factors =1 x 1 = 1

LCM(928,7387) = ( 928 × 7387 ) / 1

LCM(928,7387) = 6855136 / 1

LCM(928,7387) = 6855136

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9685/928, 4039/7387

1. What is the HCF of 9685,4039?

The HCF of 9685,4039 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 9685/928, 4039/7387?

Answer: GCF of Numerators as per given numbers 9685/928, 4039/7387 is

GCF of Numerators i.e. for 9685,4039 is 1

LCM of denominators i.e. for 928,7387 is 6855136.

Thus, GCF of Fractions is 1/6855136.Finally, GCF of Fractions for 9685/928, 4039/7387 is 1/6855136.