How to Find GCF of 3665/527, 1298/7270?

GCF of 3665/527, 1298/7270

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 3665/527, 1298/7270 i.e 1/3831290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3665/527, 1298/7270.

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 3665/527,1298/7270?

Given fractions are 3665/527,1298/7270

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 3665/527,1298/7270, numerators are 3665,1298

Denominators are 527,7270

The GCF of 3665,1298 is 1 .

LCM of 527,7270 is 3831290.

The greatest common factor of 3665/527,1298/7270 = [GCF of 3665,1298]/[LCM of 527,7270]= 1/3831290

Therefore, the GCF of 3665/527,1298/7270 is 1/3831290.

Greatest Common Factor of 3665,1298

To find the highest common factor of 3665,1298, we have to find the factors of both numbers and list the highest common factor.

The factors of 3665 are 1, 5, 733, 3665

The factors of 1298 are 1, 2, 11, 22, 59, 118, 649, 1298

The HCF of 3665,1298 is 1.

Lets's calculate GCF of 3665,1298

Greatest Common Factor (GCF) of 3665,1298 By Common Division

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

Greatest Common Factor of 3665,1298 By Matching Biggest Common Factor Method

Now, list down the factors of 3665

1,5,733,3665

Now, list down the factors of 1298

1,2,11,22,59,118,649,1298

Greatest Common Factor

We found the factors 3665,1298 . The biggest common factor number is the GCF number.
So the greatest common factor 3665,1298 is 1.

Lets's calculate LCM of 527,7270

Lowest Common Multiple of 527,7270 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3831290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3831290

Therefore, the GCF of Fractions 3665/527,1298/7270 is 1/3831290

Least Common Multiple of 527,7270 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 527,7270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,7270) = 1

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

GCF(527,7270) x common factors =1 x 1 = 1

LCM(527,7270) = ( 527 × 7270 ) / 1

LCM(527,7270) = 3831290 / 1

LCM(527,7270) = 3831290

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FAQs on GCF of Fractions of 3665/527, 1298/7270

1. What is the HCF of 3665,1298?

The HCF of 3665,1298 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 3665/527, 1298/7270?

Answer: GCF of Numerators as per given numbers 3665/527, 1298/7270 is

GCF of Numerators i.e. for 3665,1298 is 1

LCM of denominators i.e. for 527,7270 is 3831290.

Thus, GCF of Fractions is 1/3831290.Finally, GCF of Fractions for 3665/527, 1298/7270 is 1/3831290.