How to Find GCF of 9967/495, 9099/7126?

GCF of 9967/495, 9099/7126

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 9967/495, 9099/7126 i.e 1/3527370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9967/495, 9099/7126.

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 9967/495,9099/7126?

Given fractions are 9967/495,9099/7126

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 9967/495,9099/7126, numerators are 9967,9099

Denominators are 495,7126

The GCF of 9967,9099 is 1 .

LCM of 495,7126 is 3527370.

The greatest common factor of 9967/495,9099/7126 = [GCF of 9967,9099]/[LCM of 495,7126]= 1/3527370

Therefore, the GCF of 9967/495,9099/7126 is 1/3527370.

Greatest Common Factor of 9967,9099

To find the highest common factor of 9967,9099, we have to find the factors of both numbers and list the highest common factor.

The factors of 9967 are 1, 9967

The factors of 9099 are 1, 3, 9, 27, 337, 1011, 3033, 9099

The HCF of 9967,9099 is 1.

Lets's calculate GCF of 9967,9099

Greatest Common Factor (GCF) of 9967,9099 By Common Division

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

Greatest Common Factor of 9967,9099 By Matching Biggest Common Factor Method

Now, list down the factors of 9967

1,9967

Now, list down the factors of 9099

1,3,9,27,337,1011,3033,9099

Greatest Common Factor

We found the factors 9967,9099 . The biggest common factor number is the GCF number.
So the greatest common factor 9967,9099 is 1.

Lets's calculate LCM of 495,7126

Lowest Common Multiple of 495,7126 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3527370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3527370

Therefore, the GCF of Fractions 9967/495,9099/7126 is 1/3527370

Least Common Multiple of 495,7126 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 495,7126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,7126) = 1

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

GCF(495,7126) x common factors =1 x 1 = 1

LCM(495,7126) = ( 495 × 7126 ) / 1

LCM(495,7126) = 3527370 / 1

LCM(495,7126) = 3527370

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FAQs on GCF of Fractions of 9967/495, 9099/7126

1. What is the HCF of 9967,9099?

The HCF of 9967,9099 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 9967/495, 9099/7126?

Answer: GCF of Numerators as per given numbers 9967/495, 9099/7126 is

GCF of Numerators i.e. for 9967,9099 is 1

LCM of denominators i.e. for 495,7126 is 3527370.

Thus, GCF of Fractions is 1/3527370.Finally, GCF of Fractions for 9967/495, 9099/7126 is 1/3527370.