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GCF of 709/360, 282/365

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 709/360, 282/365 i.e 1/26280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 709/360, 282/365.

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 709/360,282/365?

Given fractions are 709/360,282/365

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 709/360,282/365, numerators are 709,282

Denominators are 360,365

The GCF of 709,282 is 1 .

LCM of 360,365 is 26280.

The greatest common factor of 709/360,282/365 = [GCF of 709,282]/[LCM of 360,365]= 1/26280

Therefore, the GCF of 709/360,282/365 is 1/26280.

Greatest Common Factor of 709,282

To find the highest common factor of 709,282, we have to find the factors of both numbers and list the highest common factor.

The factors of 709 are 1, 709

The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282

The HCF of 709,282 is 1.

Lets's calculate GCF of 709,282

Greatest Common Factor (GCF) of 709,282 By Common Division

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

Greatest Common Factor of 709,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,282 By Matching Biggest Common Factor Method

Now, list down the factors of 709

:

1,709

Now, list down the factors of 282

:

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 709,282 . The biggest common factor number is the GCF number.
So the greatest common factor 709,282 is 1.

Lets's calculate LCM of 360,365

Lowest Common Multiple of 360,365 using Common Division

5 360, 365
72, 73

∴ So the LCM of the given numbers is 5 x 72 x 73 = 26280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26280

Therefore, the GCF of Fractions 709/360,282/365 is 1/26280

Least Common Multiple of 360,365 with GCF Formula

Least Common Multiple of 360,365 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 360,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,365) = 5

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

GCF(360,365) x common factors =5 x 1 = 5

LCM(360,365) = ( 360 × 365 ) / 5

LCM(360,365) = 131400 / 5

LCM(360,365) = 26280


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FAQs on GCF of Fractions of 709/360, 282/365

1. What is the HCF of 709,282?

The HCF of 709,282 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 709/360, 282/365?

Answer: GCF of Numerators as per given numbers 709/360, 282/365 is

GCF of Numerators i.e. for 709,282 is 1

LCM of denominators i.e. for 360,365 is 26280.

Thus, GCF of Fractions is 1/26280.Finally, GCF of Fractions for 709/360, 282/365 is 1/26280.