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GCF of 445/598, 8770/327

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 445/598, 8770/327 i.e 5/195546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/598, 8770/327.

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 445/598,8770/327?

Given fractions are 445/598,8770/327

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 445/598,8770/327, numerators are 445,8770

Denominators are 598,327

The GCF of 445,8770 is 5 .

LCM of 598,327 is 195546.

The greatest common factor of 445/598,8770/327 = [GCF of 445,8770]/[LCM of 598,327]= 5/195546

Therefore, the GCF of 445/598,8770/327 is 5/195546.

Greatest Common Factor of 445,8770

To find the highest common factor of 445,8770, we have to find the factors of both numbers and list the highest common factor.

The factors of 445 are 1, 5, 89, 445

The factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770

The HCF of 445,8770 is 5.

Lets's calculate GCF of 445,8770

Greatest Common Factor (GCF) of 445,8770 By Common Division

5 445, 8770
89, 1754

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 445,8770 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,8770 By Matching Biggest Common Factor Method

Now, list down the factors of 445

:

1,5,89,445

Now, list down the factors of 8770

:

1,2,5,10,877,1754,4385,8770

Greatest Common Factor

We found the factors 445,8770 . The biggest common factor number is the GCF number.
So the greatest common factor 445,8770 is 5.

Lets's calculate LCM of 598,327

Lowest Common Multiple of 598,327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 195546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/195546

Therefore, the GCF of Fractions 445/598,8770/327 is 5/195546

Least Common Multiple of 598,327 with GCF Formula

Least Common Multiple of 598,327 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 598,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,327) = 1

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

GCF(598,327) x common factors =1 x 1 = 1

LCM(598,327) = ( 598 × 327 ) / 1

LCM(598,327) = 195546 / 1

LCM(598,327) = 195546


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FAQs on GCF of Fractions of 445/598, 8770/327

1. What is the HCF of 445,8770?

The HCF of 445,8770 is 5

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 445/598, 8770/327?

Answer: GCF of Numerators as per given numbers 445/598, 8770/327 is

GCF of Numerators i.e. for 445,8770 is 5

LCM of denominators i.e. for 598,327 is 195546.

Thus, GCF of Fractions is 5/195546.Finally, GCF of Fractions for 445/598, 8770/327 is 5/195546.