GCF of 1285/532, 3581/9144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1285/532, 3581/9144 i.e 1/1216152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1285/532, 3581/9144.
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 1285/532,3581/9144?
Given fractions are 1285/532,3581/9144
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 1285/532,3581/9144, numerators are 1285,3581
Denominators are 532,9144
The GCF of 1285,3581 is 1 .
LCM of 532,9144 is 1216152.
The greatest common factor of 1285/532,3581/9144 = [GCF of 1285,3581]/[LCM of 532,9144]= 1/1216152
Therefore, the GCF of 1285/532,3581/9144 is 1/1216152.
To find the highest common factor of 1285,3581, we have to find the factors of both numbers and list the highest common factor.
The factors of 1285 are 1, 5, 257, 1285
The factors of 3581 are 1, 3581
The HCF of 1285,3581 is 1.
Lets's calculate GCF of 1285,3581
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1285,3581 By Matching Biggest Common Factor Method
Now, list down the factors of 1285
:1,5,257,1285
Now, list down the factors of 3581
:1,3581
Greatest Common Factor
We found the factors 1285,3581 . The biggest common factor number is the GCF number.
So the greatest common factor 1285,3581 is 1.
Lets's calculate LCM of 532,9144
| 2 | 532, 9144 |
| 2 | 266, 4572 |
| 133, 2286 |
∴ So the LCM of the given numbers is 2 x 2 x 133 x 2286 = 1216152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1216152
Therefore, the GCF of Fractions 1285/532,3581/9144 is 1/1216152
Least Common Multiple of 532,9144 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 532,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,9144) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(532,9144) x common factors =4 x 1 = 4
LCM(532,9144) = ( 532 × 9144 ) / 4
LCM(532,9144) = 4864608 / 4
LCM(532,9144) = 1216152
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FAQs on GCF of Fractions of 1285/532, 3581/9144
1. What is the HCF of 1285,3581?
The HCF of 1285,3581 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 1285/532, 3581/9144?
Answer: GCF of Numerators as per given numbers 1285/532, 3581/9144 is
GCF of Numerators i.e. for 1285,3581 is 1
LCM of denominators i.e. for 532,9144 is 1216152.
Thus, GCF of Fractions is 1/1216152.Finally, GCF of Fractions for 1285/532, 3581/9144 is 1/1216152.