How to Find GCF of 7331/932, 9686/8820?

GCF of 7331/932, 9686/8820

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 7331/932, 9686/8820 i.e 1/2055060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7331/932, 9686/8820.

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 7331/932,9686/8820?

Given fractions are 7331/932,9686/8820

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 7331/932,9686/8820, numerators are 7331,9686

Denominators are 932,8820

The GCF of 7331,9686 is 1 .

LCM of 932,8820 is 2055060.

The greatest common factor of 7331/932,9686/8820 = [GCF of 7331,9686]/[LCM of 932,8820]= 1/2055060

Therefore, the GCF of 7331/932,9686/8820 is 1/2055060.

Greatest Common Factor of 7331,9686

To find the highest common factor of 7331,9686, we have to find the factors of both numbers and list the highest common factor.

The factors of 7331 are 1, 7331

The factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686

The HCF of 7331,9686 is 1.

Lets's calculate GCF of 7331,9686

Greatest Common Factor (GCF) of 7331,9686 By Common Division

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

Greatest Common Factor of 7331,9686 By Matching Biggest Common Factor Method

Now, list down the factors of 7331

1,7331

Now, list down the factors of 9686

1,2,29,58,167,334,4843,9686

Greatest Common Factor

We found the factors 7331,9686 . The biggest common factor number is the GCF number.
So the greatest common factor 7331,9686 is 1.

Lets's calculate LCM of 932,8820

Lowest Common Multiple of 932,8820 using Common Division

2	932, 8820
2	466, 4410
	233, 2205

∴ So the LCM of the given numbers is 2 x 2 x 233 x 2205 = 2055060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2055060

Therefore, the GCF of Fractions 7331/932,9686/8820 is 1/2055060

Least Common Multiple of 932,8820 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 932,8820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,8820) = 4

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

GCF(932,8820) x common factors =4 x 1 = 4

LCM(932,8820) = ( 932 × 8820 ) / 4

LCM(932,8820) = 8220240 / 4

LCM(932,8820) = 2055060

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7331/932, 9686/8820

1. What is the HCF of 7331,9686?

The HCF of 7331,9686 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 7331/932, 9686/8820?

Answer: GCF of Numerators as per given numbers 7331/932, 9686/8820 is

GCF of Numerators i.e. for 7331,9686 is 1

LCM of denominators i.e. for 932,8820 is 2055060.

Thus, GCF of Fractions is 1/2055060.Finally, GCF of Fractions for 7331/932, 9686/8820 is 1/2055060.