GCF of 6679/465, 9874/5619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6679/465, 9874/5619 i.e 1/870945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6679/465, 9874/5619.
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 6679/465,9874/5619?
Given fractions are 6679/465,9874/5619
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 6679/465,9874/5619, numerators are 6679,9874
Denominators are 465,5619
The GCF of 6679,9874 is 1 .
LCM of 465,5619 is 870945.
The greatest common factor of 6679/465,9874/5619 = [GCF of 6679,9874]/[LCM of 465,5619]= 1/870945
Therefore, the GCF of 6679/465,9874/5619 is 1/870945.
To find the highest common factor of 6679,9874, we have to find the factors of both numbers and list the highest common factor.
The factors of 6679 are 1, 6679
The factors of 9874 are 1, 2, 4937, 9874
The HCF of 6679,9874 is 1.
Lets's calculate GCF of 6679,9874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6679,9874 By Matching Biggest Common Factor Method
Now, list down the factors of 6679
:1,6679
Now, list down the factors of 9874
:1,2,4937,9874
Greatest Common Factor
We found the factors 6679,9874 . The biggest common factor number is the GCF number.
So the greatest common factor 6679,9874 is 1.
Lets's calculate LCM of 465,5619
| 3 | 465, 5619 |
| 155, 1873 |
∴ So the LCM of the given numbers is 3 x 155 x 1873 = 870945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/870945
Therefore, the GCF of Fractions 6679/465,9874/5619 is 1/870945
Least Common Multiple of 465,5619 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 465,5619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,5619) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,5619) x common factors =3 x 1 = 3
LCM(465,5619) = ( 465 × 5619 ) / 3
LCM(465,5619) = 2612835 / 3
LCM(465,5619) = 870945
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FAQs on GCF of Fractions of 6679/465, 9874/5619
1. What is the HCF of 6679,9874?
The HCF of 6679,9874 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 6679/465, 9874/5619?
Answer: GCF of Numerators as per given numbers 6679/465, 9874/5619 is
GCF of Numerators i.e. for 6679,9874 is 1
LCM of denominators i.e. for 465,5619 is 870945.
Thus, GCF of Fractions is 1/870945.Finally, GCF of Fractions for 6679/465, 9874/5619 is 1/870945.