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GCF of 997/18, 868/364

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, 868/364 i.e 1/3276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 997/18, 868/364.

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 997/18,868/364?

Given fractions are 997/18,868/364

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 997/18,868/364, numerators are 997,868

Denominators are 18,364

The GCF of 997,868 is 1 .

LCM of 18,364 is 3276.

The greatest common factor of 997/18,868/364 = [GCF of 997,868]/[LCM of 18,364]= 1/3276

Therefore, the GCF of 997/18,868/364 is 1/3276.

Greatest Common Factor of 997,868

To find the highest common factor of 997,868, 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 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

The HCF of 997,868 is 1.

Lets's calculate GCF of 997,868

Greatest Common Factor (GCF) of 997,868 By Common Division

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

Greatest Common Factor of 997,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,868 By Matching Biggest Common Factor Method

Now, list down the factors of 997

:

1,997

Now, list down the factors of 868

:

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 997,868 . The biggest common factor number is the GCF number.
So the greatest common factor 997,868 is 1.

Lets's calculate LCM of 18,364

Lowest Common Multiple of 18,364 using Common Division

2 18, 364
9, 182

∴ So the LCM of the given numbers is 2 x 9 x 182 = 3276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3276

Therefore, the GCF of Fractions 997/18,868/364 is 1/3276

Least Common Multiple of 18,364 with GCF Formula

Least Common Multiple of 18,364 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 18,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,364) = 2

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

GCF(18,364) x common factors =2 x 1 = 2

LCM(18,364) = ( 18 × 364 ) / 2

LCM(18,364) = 6552 / 2

LCM(18,364) = 3276


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FAQs on GCF of Fractions of 997/18, 868/364

1. What is the HCF of 997,868?

The HCF of 997,868 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, 868/364?

Answer: GCF of Numerators as per given numbers 997/18, 868/364 is

GCF of Numerators i.e. for 997,868 is 1

LCM of denominators i.e. for 18,364 is 3276.

Thus, GCF of Fractions is 1/3276.Finally, GCF of Fractions for 997/18, 868/364 is 1/3276.