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GCF of 485/70, 225/919

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 485/70, 225/919 i.e 5/64330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 485/70, 225/919.

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 485/70,225/919?

Given fractions are 485/70,225/919

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 485/70,225/919, numerators are 485,225

Denominators are 70,919

The GCF of 485,225 is 5 .

LCM of 70,919 is 64330.

The greatest common factor of 485/70,225/919 = [GCF of 485,225]/[LCM of 70,919]= 5/64330

Therefore, the GCF of 485/70,225/919 is 5/64330.

Greatest Common Factor of 485,225

To find the highest common factor of 485,225, we have to find the factors of both numbers and list the highest common factor.

The factors of 485 are 1, 5, 97, 485

The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225

The HCF of 485,225 is 5.

Lets's calculate GCF of 485,225

Greatest Common Factor (GCF) of 485,225 By Common Division

5 485, 225
97, 45

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

Greatest Common Factor of 485,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,225 By Matching Biggest Common Factor Method

Now, list down the factors of 485

:

1,5,97,485

Now, list down the factors of 225

:

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 485,225 . The biggest common factor number is the GCF number.
So the greatest common factor 485,225 is 5.

Lets's calculate LCM of 70,919

Lowest Common Multiple of 70,919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 64330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/64330

Therefore, the GCF of Fractions 485/70,225/919 is 5/64330

Least Common Multiple of 70,919 with GCF Formula

Least Common Multiple of 70,919 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 70,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,919) = 1

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

GCF(70,919) x common factors =1 x 1 = 1

LCM(70,919) = ( 70 × 919 ) / 1

LCM(70,919) = 64330 / 1

LCM(70,919) = 64330


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FAQs on GCF of Fractions of 485/70, 225/919

1. What is the HCF of 485,225?

The HCF of 485,225 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 485/70, 225/919?

Answer: GCF of Numerators as per given numbers 485/70, 225/919 is

GCF of Numerators i.e. for 485,225 is 5

LCM of denominators i.e. for 70,919 is 64330.

Thus, GCF of Fractions is 5/64330.Finally, GCF of Fractions for 485/70, 225/919 is 5/64330.