How to Find GCF of 7685/386, 9772/812?

GCF of 7685/386, 9772/812

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 7685/386, 9772/812 i.e 1/156716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7685/386, 9772/812.

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 7685/386,9772/812?

Given fractions are 7685/386,9772/812

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 7685/386,9772/812, numerators are 7685,9772

Denominators are 386,812

The GCF of 7685,9772 is 1 .

LCM of 386,812 is 156716.

The greatest common factor of 7685/386,9772/812 = [GCF of 7685,9772]/[LCM of 386,812]= 1/156716

Therefore, the GCF of 7685/386,9772/812 is 1/156716.

Greatest Common Factor of 7685,9772

To find the highest common factor of 7685,9772, we have to find the factors of both numbers and list the highest common factor.

The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685

The factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772

The HCF of 7685,9772 is 1.

Lets's calculate GCF of 7685,9772

Greatest Common Factor (GCF) of 7685,9772 By Common Division

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

Greatest Common Factor of 7685,9772 By Matching Biggest Common Factor Method

Now, list down the factors of 7685

1,5,29,53,145,265,1537,7685

Now, list down the factors of 9772

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Greatest Common Factor

We found the factors 7685,9772 . The biggest common factor number is the GCF number.
So the greatest common factor 7685,9772 is 1.

Lets's calculate LCM of 386,812

Lowest Common Multiple of 386,812 using Common Division

2	386, 812
	193, 406

∴ So the LCM of the given numbers is 2 x 193 x 406 = 156716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156716

Therefore, the GCF of Fractions 7685/386,9772/812 is 1/156716

Least Common Multiple of 386,812 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 386,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,812) = 2

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

GCF(386,812) x common factors =2 x 1 = 2

LCM(386,812) = ( 386 × 812 ) / 2

LCM(386,812) = 313432 / 2

LCM(386,812) = 156716

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FAQs on GCF of Fractions of 7685/386, 9772/812

1. What is the HCF of 7685,9772?

The HCF of 7685,9772 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 7685/386, 9772/812?

Answer: GCF of Numerators as per given numbers 7685/386, 9772/812 is

GCF of Numerators i.e. for 7685,9772 is 1

LCM of denominators i.e. for 386,812 is 156716.

Thus, GCF of Fractions is 1/156716.Finally, GCF of Fractions for 7685/386, 9772/812 is 1/156716.