GCF of 4452/615, 8585/3705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4452/615, 8585/3705 i.e 1/151905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4452/615, 8585/3705.
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 4452/615,8585/3705?
Given fractions are 4452/615,8585/3705
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 4452/615,8585/3705, numerators are 4452,8585
Denominators are 615,3705
The GCF of 4452,8585 is 1 .
LCM of 615,3705 is 151905.
The greatest common factor of 4452/615,8585/3705 = [GCF of 4452,8585]/[LCM of 615,3705]= 1/151905
Therefore, the GCF of 4452/615,8585/3705 is 1/151905.
To find the highest common factor of 4452,8585, we have to find the factors of both numbers and list the highest common factor.
The factors of 4452 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452
The factors of 8585 are 1, 5, 17, 85, 101, 505, 1717, 8585
The HCF of 4452,8585 is 1.
Lets's calculate GCF of 4452,8585
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4452,8585 By Matching Biggest Common Factor Method
Now, list down the factors of 4452
:1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452
Now, list down the factors of 8585
:1,5,17,85,101,505,1717,8585
Greatest Common Factor
We found the factors 4452,8585 . The biggest common factor number is the GCF number.
So the greatest common factor 4452,8585 is 1.
Lets's calculate LCM of 615,3705
| 3 | 615, 3705 |
| 5 | 205, 1235 |
| 41, 247 |
∴ So the LCM of the given numbers is 3 x 5 x 41 x 247 = 151905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151905
Therefore, the GCF of Fractions 4452/615,8585/3705 is 1/151905
Least Common Multiple of 615,3705 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 615,3705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,3705) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(615,3705) x common factors =15 x 1 = 15
LCM(615,3705) = ( 615 × 3705 ) / 15
LCM(615,3705) = 2278575 / 15
LCM(615,3705) = 151905
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4452/615, 8585/3705
1. What is the HCF of 4452,8585?
The HCF of 4452,8585 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 4452/615, 8585/3705?
Answer: GCF of Numerators as per given numbers 4452/615, 8585/3705 is
GCF of Numerators i.e. for 4452,8585 is 1
LCM of denominators i.e. for 615,3705 is 151905.
Thus, GCF of Fractions is 1/151905.Finally, GCF of Fractions for 4452/615, 8585/3705 is 1/151905.