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GCF of 97/200, 74/532, 995/566

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 97/200, 74/532, 995/566 i.e 1/7527800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/200, 74/532, 995/566.

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 97/200,74/532,995/566?

Given fractions are 97/200,74/532,995/566

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 97/200,74/532,995/566, numerators are 97,74,995

Denominators are 200,532,566

The GCF of 97,74,995 is 1 .

LCM of 200,532,566 is 7527800.

The greatest common factor of 97/200,74/532,995/566 = [GCF of 97,74,995]/[LCM of 200,532,566]= 1/7527800

Therefore, the GCF of 97/200,74/532,995/566 is 1/7527800.

Greatest Common Factor of 97,74,995

To find the highest common factor of 97,74,995, we have to find the factors of both numbers and list the highest common factor.

The factors of 97 are 1, 97

The factors of 74 are 1, 2, 37, 74

The factors of 995 are 1, 5, 199, 995

The HCF of 97,74,995 is 1.

Lets's calculate GCF of 97,74,995

Greatest Common Factor (GCF) of 97,74,995 By Common Division

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

Greatest Common Factor of 97,74,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,74,995 By Matching Biggest Common Factor Method

Now, list down the factors of 97

:

1,97

Now, list down the factors of 74

:

1,2,37,74

Now, list down the factors of 995

:

1,5,199,995

Greatest Common Factor

We found the factors 97,74,995 . The biggest common factor number is the GCF number.
So the greatest common factor 97,74,995 is 1.


Lets's calculate LCM of 200,532,566

Lowest Common Multiple of 200,532,566 using Common Division

2 200, 532, 566
2 100, 266, 283
50, 133, 283

∴ So the LCM of the given numbers is 2 x 2 x 50 x 133 x 283 = 7527800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7527800

Therefore, the GCF of Fractions 97/200,74/532,995/566 is 1/7527800

Least Common Multiple of 200,532,566 with GCF Formula

Least Common Multiple of 200,532,566 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 200,532,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,532,566) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(200,532,566) x common factors =2 x 4 = 8

LCM(200,532,566) = ( 200 × 532 × 566 ) / 8

LCM(200,532,566) = 60222400 / 8

LCM(200,532,566) = 7527800


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 97/200, 74/532, 995/566

1. What is the HCF of 97,74,995?

The HCF of 97,74,995 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 97/200, 74/532, 995/566?

Answer: GCF of Numerators as per given numbers 97/200, 74/532, 995/566 is

GCF of Numerators i.e. for 97,74,995 is 1

LCM of denominators i.e. for 200,532,566 is 7527800.

Thus, GCF of Fractions is 1/7527800.Finally, GCF of Fractions for 97/200, 74/532, 995/566 is 1/7527800.