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GCF of 598/77, 318/360

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 598/77, 318/360 i.e 2/27720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/77, 318/360.

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 598/77,318/360?

Given fractions are 598/77,318/360

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 598/77,318/360, numerators are 598,318

Denominators are 77,360

The GCF of 598,318 is 2 .

LCM of 77,360 is 27720.

The greatest common factor of 598/77,318/360 = [GCF of 598,318]/[LCM of 77,360]= 2/27720

Therefore, the GCF of 598/77,318/360 is 2/27720.

Greatest Common Factor of 598,318

To find the highest common factor of 598,318, we have to find the factors of both numbers and list the highest common factor.

The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318

The HCF of 598,318 is 2.

Lets's calculate GCF of 598,318

Greatest Common Factor (GCF) of 598,318 By Common Division

2 598, 318
299, 159

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 598,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,318 By Matching Biggest Common Factor Method

Now, list down the factors of 598

:

1,2,13,23,26,46,299,598

Now, list down the factors of 318

:

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 598,318 . The biggest common factor number is the GCF number.
So the greatest common factor 598,318 is 2.

Lets's calculate LCM of 77,360

Lowest Common Multiple of 77,360 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27720

Therefore, the GCF of Fractions 598/77,318/360 is 2/27720

Least Common Multiple of 77,360 with GCF Formula

Least Common Multiple of 77,360 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 77,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,360) = 1

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

GCF(77,360) x common factors =1 x 1 = 1

LCM(77,360) = ( 77 × 360 ) / 1

LCM(77,360) = 27720 / 1

LCM(77,360) = 27720


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FAQs on GCF of Fractions of 598/77, 318/360

1. What is the HCF of 598,318?

The HCF of 598,318 is 2

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 598/77, 318/360?

Answer: GCF of Numerators as per given numbers 598/77, 318/360 is

GCF of Numerators i.e. for 598,318 is 2

LCM of denominators i.e. for 77,360 is 27720.

Thus, GCF of Fractions is 2/27720.Finally, GCF of Fractions for 598/77, 318/360 is 2/27720.