How to Find GCF of 7626/666, 6701/2309?

GCF of 7626/666, 6701/2309

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 7626/666, 6701/2309 i.e 1/1537794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7626/666, 6701/2309.

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 7626/666,6701/2309?

Given fractions are 7626/666,6701/2309

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 7626/666,6701/2309, numerators are 7626,6701

Denominators are 666,2309

The GCF of 7626,6701 is 1 .

LCM of 666,2309 is 1537794.

The greatest common factor of 7626/666,6701/2309 = [GCF of 7626,6701]/[LCM of 666,2309]= 1/1537794

Therefore, the GCF of 7626/666,6701/2309 is 1/1537794.

Greatest Common Factor of 7626,6701

To find the highest common factor of 7626,6701, we have to find the factors of both numbers and list the highest common factor.

The factors of 7626 are 1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626

The factors of 6701 are 1, 6701

The HCF of 7626,6701 is 1.

Lets's calculate GCF of 7626,6701

Greatest Common Factor (GCF) of 7626,6701 By Common Division

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

Greatest Common Factor of 7626,6701 By Matching Biggest Common Factor Method

Now, list down the factors of 7626

1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626

Now, list down the factors of 6701

1,6701

Greatest Common Factor

We found the factors 7626,6701 . The biggest common factor number is the GCF number.
So the greatest common factor 7626,6701 is 1.

Lets's calculate LCM of 666,2309

Lowest Common Multiple of 666,2309 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1537794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1537794

Therefore, the GCF of Fractions 7626/666,6701/2309 is 1/1537794

Least Common Multiple of 666,2309 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 666,2309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,2309) = 1

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

GCF(666,2309) x common factors =1 x 1 = 1

LCM(666,2309) = ( 666 × 2309 ) / 1

LCM(666,2309) = 1537794 / 1

LCM(666,2309) = 1537794

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7626/666, 6701/2309

1. What is the HCF of 7626,6701?

The HCF of 7626,6701 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 7626/666, 6701/2309?

Answer: GCF of Numerators as per given numbers 7626/666, 6701/2309 is

GCF of Numerators i.e. for 7626,6701 is 1

LCM of denominators i.e. for 666,2309 is 1537794.

Thus, GCF of Fractions is 1/1537794.Finally, GCF of Fractions for 7626/666, 6701/2309 is 1/1537794.