How to Find GCF of 8028/679, 2909/8240?

GCF of 8028/679, 2909/8240

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 8028/679, 2909/8240 i.e 1/5594960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8028/679, 2909/8240.

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 8028/679,2909/8240?

Given fractions are 8028/679,2909/8240

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 8028/679,2909/8240, numerators are 8028,2909

Denominators are 679,8240

The GCF of 8028,2909 is 1 .

LCM of 679,8240 is 5594960.

The greatest common factor of 8028/679,2909/8240 = [GCF of 8028,2909]/[LCM of 679,8240]= 1/5594960

Therefore, the GCF of 8028/679,2909/8240 is 1/5594960.

Greatest Common Factor of 8028,2909

To find the highest common factor of 8028,2909, we have to find the factors of both numbers and list the highest common factor.

The factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028

The factors of 2909 are 1, 2909

The HCF of 8028,2909 is 1.

Lets's calculate GCF of 8028,2909

Greatest Common Factor (GCF) of 8028,2909 By Common Division

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

Greatest Common Factor of 8028,2909 By Matching Biggest Common Factor Method

Now, list down the factors of 8028

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Now, list down the factors of 2909

1,2909

Greatest Common Factor

We found the factors 8028,2909 . The biggest common factor number is the GCF number.
So the greatest common factor 8028,2909 is 1.

Lets's calculate LCM of 679,8240

Lowest Common Multiple of 679,8240 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5594960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5594960

Therefore, the GCF of Fractions 8028/679,2909/8240 is 1/5594960

Least Common Multiple of 679,8240 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 679,8240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,8240) = 1

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

GCF(679,8240) x common factors =1 x 1 = 1

LCM(679,8240) = ( 679 × 8240 ) / 1

LCM(679,8240) = 5594960 / 1

LCM(679,8240) = 5594960

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8028/679, 2909/8240

1. What is the HCF of 8028,2909?

The HCF of 8028,2909 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 8028/679, 2909/8240?

Answer: GCF of Numerators as per given numbers 8028/679, 2909/8240 is

GCF of Numerators i.e. for 8028,2909 is 1

LCM of denominators i.e. for 679,8240 is 5594960.

Thus, GCF of Fractions is 1/5594960.Finally, GCF of Fractions for 8028/679, 2909/8240 is 1/5594960.