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GCF of 997/470, 354/234

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 997/470, 354/234 i.e 1/54990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 997/470, 354/234.

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 997/470,354/234?

Given fractions are 997/470,354/234

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 997/470,354/234, numerators are 997,354

Denominators are 470,234

The GCF of 997,354 is 1 .

LCM of 470,234 is 54990.

The greatest common factor of 997/470,354/234 = [GCF of 997,354]/[LCM of 470,234]= 1/54990

Therefore, the GCF of 997/470,354/234 is 1/54990.

Greatest Common Factor of 997,354

To find the highest common factor of 997,354, 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 354 are 1, 2, 3, 6, 59, 118, 177, 354

The HCF of 997,354 is 1.

Lets's calculate GCF of 997,354

Greatest Common Factor (GCF) of 997,354 By Common Division

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

Greatest Common Factor of 997,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,354 By Matching Biggest Common Factor Method

Now, list down the factors of 997

:

1,997

Now, list down the factors of 354

:

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 997,354 . The biggest common factor number is the GCF number.
So the greatest common factor 997,354 is 1.

Lets's calculate LCM of 470,234

Lowest Common Multiple of 470,234 using Common Division

2 470, 234
235, 117

∴ So the LCM of the given numbers is 2 x 235 x 117 = 54990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54990

Therefore, the GCF of Fractions 997/470,354/234 is 1/54990

Least Common Multiple of 470,234 with GCF Formula

Least Common Multiple of 470,234 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 470,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,234) = 2

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

GCF(470,234) x common factors =2 x 1 = 2

LCM(470,234) = ( 470 × 234 ) / 2

LCM(470,234) = 109980 / 2

LCM(470,234) = 54990


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FAQs on GCF of Fractions of 997/470, 354/234

1. What is the HCF of 997,354?

The HCF of 997,354 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 997/470, 354/234?

Answer: GCF of Numerators as per given numbers 997/470, 354/234 is

GCF of Numerators i.e. for 997,354 is 1

LCM of denominators i.e. for 470,234 is 54990.

Thus, GCF of Fractions is 1/54990.Finally, GCF of Fractions for 997/470, 354/234 is 1/54990.