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GCF of 662/289, 505/367

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 662/289, 505/367 i.e 1/106063 easily. The following is the detailed procedure to determine the greatest common factor of fractions 662/289, 505/367.

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 662/289,505/367?

Given fractions are 662/289,505/367

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 662/289,505/367, numerators are 662,505

Denominators are 289,367

The GCF of 662,505 is 1 .

LCM of 289,367 is 106063.

The greatest common factor of 662/289,505/367 = [GCF of 662,505]/[LCM of 289,367]= 1/106063

Therefore, the GCF of 662/289,505/367 is 1/106063.

Greatest Common Factor of 662,505

To find the highest common factor of 662,505, we have to find the factors of both numbers and list the highest common factor.

The factors of 662 are 1, 2, 331, 662

The factors of 505 are 1, 5, 101, 505

The HCF of 662,505 is 1.

Lets's calculate GCF of 662,505

Greatest Common Factor (GCF) of 662,505 By Common Division

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

Greatest Common Factor of 662,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,505 By Matching Biggest Common Factor Method

Now, list down the factors of 662

:

1,2,331,662

Now, list down the factors of 505

:

1,5,101,505

Greatest Common Factor

We found the factors 662,505 . The biggest common factor number is the GCF number.
So the greatest common factor 662,505 is 1.

Lets's calculate LCM of 289,367

Lowest Common Multiple of 289,367 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 106063

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106063

Therefore, the GCF of Fractions 662/289,505/367 is 1/106063

Least Common Multiple of 289,367 with GCF Formula

Least Common Multiple of 289,367 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 289,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,367) = 1

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

GCF(289,367) x common factors =1 x 1 = 1

LCM(289,367) = ( 289 × 367 ) / 1

LCM(289,367) = 106063 / 1

LCM(289,367) = 106063


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FAQs on GCF of Fractions of 662/289, 505/367

1. What is the HCF of 662,505?

The HCF of 662,505 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 662/289, 505/367?

Answer: GCF of Numerators as per given numbers 662/289, 505/367 is

GCF of Numerators i.e. for 662,505 is 1

LCM of denominators i.e. for 289,367 is 106063.

Thus, GCF of Fractions is 1/106063.Finally, GCF of Fractions for 662/289, 505/367 is 1/106063.