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GCF of 997/18, 470/280

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 997/18, 470/280 i.e 1/2520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 997/18, 470/280.

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 997/18,470/280?

Given fractions are 997/18,470/280

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 997/18,470/280, numerators are 997,470

Denominators are 18,280

The GCF of 997,470 is 1 .

LCM of 18,280 is 2520.

The greatest common factor of 997/18,470/280 = [GCF of 997,470]/[LCM of 18,280]= 1/2520

Therefore, the GCF of 997/18,470/280 is 1/2520.

Greatest Common Factor of 997,470

To find the highest common factor of 997,470, we have to find the factors of both numbers and list the highest common factor.

The factors of 997 are 1, 997

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 997,470 is 1.

Lets's calculate GCF of 997,470

Greatest Common Factor (GCF) of 997,470 By Common Division

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

Greatest Common Factor of 997,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,470 By Matching Biggest Common Factor Method

Now, list down the factors of 997

:

1,997

Now, list down the factors of 470

:

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 997,470 . The biggest common factor number is the GCF number.
So the greatest common factor 997,470 is 1.

Lets's calculate LCM of 18,280

Lowest Common Multiple of 18,280 using Common Division

2 18, 280
9, 140

∴ So the LCM of the given numbers is 2 x 9 x 140 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520

Therefore, the GCF of Fractions 997/18,470/280 is 1/2520

Least Common Multiple of 18,280 with GCF Formula

Least Common Multiple of 18,280 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 18,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,280) = 2

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

GCF(18,280) x common factors =2 x 1 = 2

LCM(18,280) = ( 18 × 280 ) / 2

LCM(18,280) = 5040 / 2

LCM(18,280) = 2520


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FAQs on GCF of Fractions of 997/18, 470/280

1. What is the HCF of 997,470?

The HCF of 997,470 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 997/18, 470/280?

Answer: GCF of Numerators as per given numbers 997/18, 470/280 is

GCF of Numerators i.e. for 997,470 is 1

LCM of denominators i.e. for 18,280 is 2520.

Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 997/18, 470/280 is 1/2520.