How to Find GCF of 6997/823, 6126/2718?

GCF of 6997/823, 6126/2718

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 6997/823, 6126/2718 i.e 1/2236914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6997/823, 6126/2718.

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 6997/823,6126/2718?

Given fractions are 6997/823,6126/2718

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 6997/823,6126/2718, numerators are 6997,6126

Denominators are 823,2718

The GCF of 6997,6126 is 1 .

LCM of 823,2718 is 2236914.

The greatest common factor of 6997/823,6126/2718 = [GCF of 6997,6126]/[LCM of 823,2718]= 1/2236914

Therefore, the GCF of 6997/823,6126/2718 is 1/2236914.

Greatest Common Factor of 6997,6126

To find the highest common factor of 6997,6126, we have to find the factors of both numbers and list the highest common factor.

The factors of 6997 are 1, 6997

The factors of 6126 are 1, 2, 3, 6, 1021, 2042, 3063, 6126

The HCF of 6997,6126 is 1.

Lets's calculate GCF of 6997,6126

Greatest Common Factor (GCF) of 6997,6126 By Common Division

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

Greatest Common Factor of 6997,6126 By Matching Biggest Common Factor Method

Now, list down the factors of 6997

1,6997

Now, list down the factors of 6126

1,2,3,6,1021,2042,3063,6126

Greatest Common Factor

We found the factors 6997,6126 . The biggest common factor number is the GCF number.
So the greatest common factor 6997,6126 is 1.

Lets's calculate LCM of 823,2718

Lowest Common Multiple of 823,2718 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2236914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2236914

Therefore, the GCF of Fractions 6997/823,6126/2718 is 1/2236914

Least Common Multiple of 823,2718 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 823,2718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,2718) = 1

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

GCF(823,2718) x common factors =1 x 1 = 1

LCM(823,2718) = ( 823 × 2718 ) / 1

LCM(823,2718) = 2236914 / 1

LCM(823,2718) = 2236914

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FAQs on GCF of Fractions of 6997/823, 6126/2718

1. What is the HCF of 6997,6126?

The HCF of 6997,6126 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 6997/823, 6126/2718?

Answer: GCF of Numerators as per given numbers 6997/823, 6126/2718 is

GCF of Numerators i.e. for 6997,6126 is 1

LCM of denominators i.e. for 823,2718 is 2236914.

Thus, GCF of Fractions is 1/2236914.Finally, GCF of Fractions for 6997/823, 6126/2718 is 1/2236914.