GCF of 6276/201, 6584/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6276/201, 6584/984 i.e 4/65928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6276/201, 6584/984.
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 6276/201,6584/984?
Given fractions are 6276/201,6584/984
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 6276/201,6584/984, numerators are 6276,6584
Denominators are 201,984
The GCF of 6276,6584 is 4 .
LCM of 201,984 is 65928.
The greatest common factor of 6276/201,6584/984 = [GCF of 6276,6584]/[LCM of 201,984]= 4/65928
Therefore, the GCF of 6276/201,6584/984 is 4/65928.
To find the highest common factor of 6276,6584, we have to find the factors of both numbers and list the highest common factor.
The factors of 6276 are 1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276
The factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584
The HCF of 6276,6584 is 4.
Lets's calculate GCF of 6276,6584
| 2 | 6276, 6584 |
| 2 | 3138, 3292 |
| 1569, 1646 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6276,6584 By Matching Biggest Common Factor Method
Now, list down the factors of 6276
:1,2,3,4,6,12,523,1046,1569,2092,3138,6276
Now, list down the factors of 6584
:1,2,4,8,823,1646,3292,6584
Greatest Common Factor
We found the factors 6276,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 6276,6584 is 4.
Lets's calculate LCM of 201,984
| 3 | 201, 984 |
| 67, 328 |
∴ So the LCM of the given numbers is 3 x 67 x 328 = 65928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/65928
Therefore, the GCF of Fractions 6276/201,6584/984 is 4/65928
Least Common Multiple of 201,984 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 201,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,984) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,984) x common factors =3 x 1 = 3
LCM(201,984) = ( 201 × 984 ) / 3
LCM(201,984) = 197784 / 3
LCM(201,984) = 65928
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6276/201, 6584/984
1. What is the HCF of 6276,6584?
The HCF of 6276,6584 is 4
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 6276/201, 6584/984?
Answer: GCF of Numerators as per given numbers 6276/201, 6584/984 is
GCF of Numerators i.e. for 6276,6584 is 4
LCM of denominators i.e. for 201,984 is 65928.
Thus, GCF of Fractions is 4/65928.Finally, GCF of Fractions for 6276/201, 6584/984 is 4/65928.