How to Find GCF of 6503/997, 7990/9731?

GCF of 6503/997, 7990/9731

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 6503/997, 7990/9731 i.e 1/9701807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6503/997, 7990/9731.

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 6503/997,7990/9731?

Given fractions are 6503/997,7990/9731

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 6503/997,7990/9731, numerators are 6503,7990

Denominators are 997,9731

The GCF of 6503,7990 is 1 .

LCM of 997,9731 is 9701807.

The greatest common factor of 6503/997,7990/9731 = [GCF of 6503,7990]/[LCM of 997,9731]= 1/9701807

Therefore, the GCF of 6503/997,7990/9731 is 1/9701807.

Greatest Common Factor of 6503,7990

To find the highest common factor of 6503,7990, we have to find the factors of both numbers and list the highest common factor.

The factors of 6503 are 1, 7, 929, 6503

The factors of 7990 are 1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990

The HCF of 6503,7990 is 1.

Lets's calculate GCF of 6503,7990

Greatest Common Factor (GCF) of 6503,7990 By Common Division

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

Greatest Common Factor of 6503,7990 By Matching Biggest Common Factor Method

Now, list down the factors of 6503

1,7,929,6503

Now, list down the factors of 7990

1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990

Greatest Common Factor

We found the factors 6503,7990 . The biggest common factor number is the GCF number.
So the greatest common factor 6503,7990 is 1.

Lets's calculate LCM of 997,9731

Lowest Common Multiple of 997,9731 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9701807

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9701807

Therefore, the GCF of Fractions 6503/997,7990/9731 is 1/9701807

Least Common Multiple of 997,9731 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 997,9731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,9731) = 1

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

GCF(997,9731) x common factors =1 x 1 = 1

LCM(997,9731) = ( 997 × 9731 ) / 1

LCM(997,9731) = 9701807 / 1

LCM(997,9731) = 9701807

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FAQs on GCF of Fractions of 6503/997, 7990/9731

1. What is the HCF of 6503,7990?

The HCF of 6503,7990 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 6503/997, 7990/9731?

Answer: GCF of Numerators as per given numbers 6503/997, 7990/9731 is

GCF of Numerators i.e. for 6503,7990 is 1

LCM of denominators i.e. for 997,9731 is 9701807.

Thus, GCF of Fractions is 1/9701807.Finally, GCF of Fractions for 6503/997, 7990/9731 is 1/9701807.