How to Find GCF of 9727/262, 8149/6525?

GCF of 9727/262, 8149/6525

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 9727/262, 8149/6525 i.e 1/1709550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9727/262, 8149/6525.

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 9727/262,8149/6525?

Given fractions are 9727/262,8149/6525

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 9727/262,8149/6525, numerators are 9727,8149

Denominators are 262,6525

The GCF of 9727,8149 is 1 .

LCM of 262,6525 is 1709550.

The greatest common factor of 9727/262,8149/6525 = [GCF of 9727,8149]/[LCM of 262,6525]= 1/1709550

Therefore, the GCF of 9727/262,8149/6525 is 1/1709550.

Greatest Common Factor of 9727,8149

To find the highest common factor of 9727,8149, we have to find the factors of both numbers and list the highest common factor.

The factors of 9727 are 1, 71, 137, 9727

The factors of 8149 are 1, 29, 281, 8149

The HCF of 9727,8149 is 1.

Lets's calculate GCF of 9727,8149

Greatest Common Factor (GCF) of 9727,8149 By Common Division

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

Greatest Common Factor of 9727,8149 By Matching Biggest Common Factor Method

Now, list down the factors of 9727

1,71,137,9727

Now, list down the factors of 8149

1,29,281,8149

Greatest Common Factor

We found the factors 9727,8149 . The biggest common factor number is the GCF number.
So the greatest common factor 9727,8149 is 1.

Lets's calculate LCM of 262,6525

Lowest Common Multiple of 262,6525 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1709550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1709550

Therefore, the GCF of Fractions 9727/262,8149/6525 is 1/1709550

Least Common Multiple of 262,6525 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 262,6525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,6525) = 1

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

GCF(262,6525) x common factors =1 x 1 = 1

LCM(262,6525) = ( 262 × 6525 ) / 1

LCM(262,6525) = 1709550 / 1

LCM(262,6525) = 1709550

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FAQs on GCF of Fractions of 9727/262, 8149/6525

1. What is the HCF of 9727,8149?

The HCF of 9727,8149 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 9727/262, 8149/6525?

Answer: GCF of Numerators as per given numbers 9727/262, 8149/6525 is

GCF of Numerators i.e. for 9727,8149 is 1

LCM of denominators i.e. for 262,6525 is 1709550.

Thus, GCF of Fractions is 1/1709550.Finally, GCF of Fractions for 9727/262, 8149/6525 is 1/1709550.