How to Find GCF of 9677/394, 4726/6666?

GCF of 9677/394, 4726/6666

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 9677/394, 4726/6666 i.e 1/1313202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9677/394, 4726/6666.

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 9677/394,4726/6666?

Given fractions are 9677/394,4726/6666

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 9677/394,4726/6666, numerators are 9677,4726

Denominators are 394,6666

The GCF of 9677,4726 is 1 .

LCM of 394,6666 is 1313202.

The greatest common factor of 9677/394,4726/6666 = [GCF of 9677,4726]/[LCM of 394,6666]= 1/1313202

Therefore, the GCF of 9677/394,4726/6666 is 1/1313202.

Greatest Common Factor of 9677,4726

To find the highest common factor of 9677,4726, we have to find the factors of both numbers and list the highest common factor.

The factors of 9677 are 1, 9677

The factors of 4726 are 1, 2, 17, 34, 139, 278, 2363, 4726

The HCF of 9677,4726 is 1.

Lets's calculate GCF of 9677,4726

Greatest Common Factor (GCF) of 9677,4726 By Common Division

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

Greatest Common Factor of 9677,4726 By Matching Biggest Common Factor Method

Now, list down the factors of 9677

1,9677

Now, list down the factors of 4726

1,2,17,34,139,278,2363,4726

Greatest Common Factor

We found the factors 9677,4726 . The biggest common factor number is the GCF number.
So the greatest common factor 9677,4726 is 1.

Lets's calculate LCM of 394,6666

Lowest Common Multiple of 394,6666 using Common Division

2	394, 6666
	197, 3333

∴ So the LCM of the given numbers is 2 x 197 x 3333 = 1313202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1313202

Therefore, the GCF of Fractions 9677/394,4726/6666 is 1/1313202

Least Common Multiple of 394,6666 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 394,6666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,6666) = 2

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

GCF(394,6666) x common factors =2 x 1 = 2

LCM(394,6666) = ( 394 × 6666 ) / 2

LCM(394,6666) = 2626404 / 2

LCM(394,6666) = 1313202

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FAQs on GCF of Fractions of 9677/394, 4726/6666

1. What is the HCF of 9677,4726?

The HCF of 9677,4726 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 9677/394, 4726/6666?

Answer: GCF of Numerators as per given numbers 9677/394, 4726/6666 is

GCF of Numerators i.e. for 9677,4726 is 1

LCM of denominators i.e. for 394,6666 is 1313202.

Thus, GCF of Fractions is 1/1313202.Finally, GCF of Fractions for 9677/394, 4726/6666 is 1/1313202.