GCF of 1564/961, 3252/3084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1564/961, 3252/3084 i.e 4/2963724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1564/961, 3252/3084.
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 1564/961,3252/3084?
Given fractions are 1564/961,3252/3084
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 1564/961,3252/3084, numerators are 1564,3252
Denominators are 961,3084
The GCF of 1564,3252 is 4 .
LCM of 961,3084 is 2963724.
The greatest common factor of 1564/961,3252/3084 = [GCF of 1564,3252]/[LCM of 961,3084]= 4/2963724
Therefore, the GCF of 1564/961,3252/3084 is 4/2963724.
To find the highest common factor of 1564,3252, we have to find the factors of both numbers and list the highest common factor.
The factors of 1564 are 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564
The factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252
The HCF of 1564,3252 is 4.
Lets's calculate GCF of 1564,3252
| 2 | 1564, 3252 |
| 2 | 782, 1626 |
| 391, 813 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1564,3252 By Matching Biggest Common Factor Method
Now, list down the factors of 1564
:1,2,4,17,23,34,46,68,92,391,782,1564
Now, list down the factors of 3252
:1,2,3,4,6,12,271,542,813,1084,1626,3252
Greatest Common Factor
We found the factors 1564,3252 . The biggest common factor number is the GCF number.
So the greatest common factor 1564,3252 is 4.
Lets's calculate LCM of 961,3084
Given numbers has no common factors except 1. So, there LCM is their product i.e 2963724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2963724
Therefore, the GCF of Fractions 1564/961,3252/3084 is 4/2963724
Least Common Multiple of 961,3084 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 961,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,3084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,3084) x common factors =1 x 1 = 1
LCM(961,3084) = ( 961 × 3084 ) / 1
LCM(961,3084) = 2963724 / 1
LCM(961,3084) = 2963724
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1564/961, 3252/3084
1. What is the HCF of 1564,3252?
The HCF of 1564,3252 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 1564/961, 3252/3084?
Answer: GCF of Numerators as per given numbers 1564/961, 3252/3084 is
GCF of Numerators i.e. for 1564,3252 is 4
LCM of denominators i.e. for 961,3084 is 2963724.
Thus, GCF of Fractions is 4/2963724.Finally, GCF of Fractions for 1564/961, 3252/3084 is 4/2963724.