How to Find GCF of 997/565, 8200/6506?

GCF of 997/565, 8200/6506

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 997/565, 8200/6506 i.e 1/3675890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 997/565, 8200/6506.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 997/565,8200/6506?

Given fractions are 997/565,8200/6506

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 997/565,8200/6506, numerators are 997,8200

Denominators are 565,6506

The GCF of 997,8200 is 1 .

LCM of 565,6506 is 3675890.

The greatest common factor of 997/565,8200/6506 = [GCF of 997,8200]/[LCM of 565,6506]= 1/3675890

Therefore, the GCF of 997/565,8200/6506 is 1/3675890.

Greatest Common Factor of 997,8200

To find the highest common factor of 997,8200, 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 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200

The HCF of 997,8200 is 1.

Lets's calculate GCF of 997,8200

Greatest Common Factor (GCF) of 997,8200 By Common Division

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

Greatest Common Factor of 997,8200 By Matching Biggest Common Factor Method

Now, list down the factors of 997

1,997

Now, list down the factors of 8200

1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200

Greatest Common Factor

We found the factors 997,8200 . The biggest common factor number is the GCF number.
So the greatest common factor 997,8200 is 1.

Lets's calculate LCM of 565,6506

Lowest Common Multiple of 565,6506 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3675890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3675890

Therefore, the GCF of Fractions 997/565,8200/6506 is 1/3675890

Least Common Multiple of 565,6506 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 565,6506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,6506) = 1

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

GCF(565,6506) x common factors =1 x 1 = 1

LCM(565,6506) = ( 565 × 6506 ) / 1

LCM(565,6506) = 3675890 / 1

LCM(565,6506) = 3675890

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FAQs on GCF of Fractions of 997/565, 8200/6506

1. What is the HCF of 997,8200?

The HCF of 997,8200 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 997/565, 8200/6506?

Answer: GCF of Numerators as per given numbers 997/565, 8200/6506 is

GCF of Numerators i.e. for 997,8200 is 1

LCM of denominators i.e. for 565,6506 is 3675890.

Thus, GCF of Fractions is 1/3675890.Finally, GCF of Fractions for 997/565, 8200/6506 is 1/3675890.