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GCF of 9777/445, 2081/7270

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 9777/445, 2081/7270 i.e 1/647030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9777/445, 2081/7270.

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 9777/445,2081/7270?

Given fractions are 9777/445,2081/7270

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 9777/445,2081/7270, numerators are 9777,2081

Denominators are 445,7270

The GCF of 9777,2081 is 1 .

LCM of 445,7270 is 647030.

The greatest common factor of 9777/445,2081/7270 = [GCF of 9777,2081]/[LCM of 445,7270]= 1/647030

Therefore, the GCF of 9777/445,2081/7270 is 1/647030.

Greatest Common Factor of 9777,2081

To find the highest common factor of 9777,2081, we have to find the factors of both numbers and list the highest common factor.

The factors of 9777 are 1, 3, 3259, 9777

The factors of 2081 are 1, 2081

The HCF of 9777,2081 is 1.

Lets's calculate GCF of 9777,2081

Greatest Common Factor (GCF) of 9777,2081 By Common Division

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

Greatest Common Factor of 9777,2081 By Matching Biggest Common Factor Method

Greatest Common Factor of 9777,2081 By Matching Biggest Common Factor Method

Now, list down the factors of 9777

:

1,3,3259,9777

Now, list down the factors of 2081

:

1,2081

Greatest Common Factor

We found the factors 9777,2081 . The biggest common factor number is the GCF number.
So the greatest common factor 9777,2081 is 1.

Lets's calculate LCM of 445,7270

Lowest Common Multiple of 445,7270 using Common Division

5 445, 7270
89, 1454

∴ So the LCM of the given numbers is 5 x 89 x 1454 = 647030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/647030

Therefore, the GCF of Fractions 9777/445,2081/7270 is 1/647030

Least Common Multiple of 445,7270 with GCF Formula

Least Common Multiple of 445,7270 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 445,7270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,7270) = 5

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

GCF(445,7270) x common factors =5 x 1 = 5

LCM(445,7270) = ( 445 × 7270 ) / 5

LCM(445,7270) = 3235150 / 5

LCM(445,7270) = 647030


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FAQs on GCF of Fractions of 9777/445, 2081/7270

1. What is the HCF of 9777,2081?

The HCF of 9777,2081 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 9777/445, 2081/7270?

Answer: GCF of Numerators as per given numbers 9777/445, 2081/7270 is

GCF of Numerators i.e. for 9777,2081 is 1

LCM of denominators i.e. for 445,7270 is 647030.

Thus, GCF of Fractions is 1/647030.Finally, GCF of Fractions for 9777/445, 2081/7270 is 1/647030.