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GCF of 9677/403, 9077/5881

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 9677/403, 9077/5881 i.e 1/2370043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9677/403, 9077/5881.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9677/403,9077/5881?

Given fractions are 9677/403,9077/5881

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 9677/403,9077/5881, numerators are 9677,9077

Denominators are 403,5881

The GCF of 9677,9077 is 1 .

LCM of 403,5881 is 2370043.

The greatest common factor of 9677/403,9077/5881 = [GCF of 9677,9077]/[LCM of 403,5881]= 1/2370043

Therefore, the GCF of 9677/403,9077/5881 is 1/2370043.

Greatest Common Factor of 9677,9077

To find the highest common factor of 9677,9077, 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 9077 are 1, 29, 313, 9077

The HCF of 9677,9077 is 1.

Lets's calculate GCF of 9677,9077

Greatest Common Factor (GCF) of 9677,9077 By Common Division

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

Greatest Common Factor of 9677,9077 By Matching Biggest Common Factor Method

Greatest Common Factor of 9677,9077 By Matching Biggest Common Factor Method

Now, list down the factors of 9677

:

1,9677

Now, list down the factors of 9077

:

1,29,313,9077

Greatest Common Factor

We found the factors 9677,9077 . The biggest common factor number is the GCF number.
So the greatest common factor 9677,9077 is 1.

Lets's calculate LCM of 403,5881

Lowest Common Multiple of 403,5881 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2370043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2370043

Therefore, the GCF of Fractions 9677/403,9077/5881 is 1/2370043

Least Common Multiple of 403,5881 with GCF Formula

Least Common Multiple of 403,5881 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 403,5881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,5881) = 1

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

GCF(403,5881) x common factors =1 x 1 = 1

LCM(403,5881) = ( 403 × 5881 ) / 1

LCM(403,5881) = 2370043 / 1

LCM(403,5881) = 2370043


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FAQs on GCF of Fractions of 9677/403, 9077/5881

1. What is the HCF of 9677,9077?

The HCF of 9677,9077 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 9677/403, 9077/5881?

Answer: GCF of Numerators as per given numbers 9677/403, 9077/5881 is

GCF of Numerators i.e. for 9677,9077 is 1

LCM of denominators i.e. for 403,5881 is 2370043.

Thus, GCF of Fractions is 1/2370043.Finally, GCF of Fractions for 9677/403, 9077/5881 is 1/2370043.