GCF of 5869/106, 7605/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5869/106, 7605/582 i.e 1/30846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5869/106, 7605/582.
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 5869/106,7605/582?
Given fractions are 5869/106,7605/582
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 5869/106,7605/582, numerators are 5869,7605
Denominators are 106,582
The GCF of 5869,7605 is 1 .
LCM of 106,582 is 30846.
The greatest common factor of 5869/106,7605/582 = [GCF of 5869,7605]/[LCM of 106,582]= 1/30846
Therefore, the GCF of 5869/106,7605/582 is 1/30846.
To find the highest common factor of 5869,7605, we have to find the factors of both numbers and list the highest common factor.
The factors of 5869 are 1, 5869
The factors of 7605 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2535, 7605
The HCF of 5869,7605 is 1.
Lets's calculate GCF of 5869,7605
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5869,7605 By Matching Biggest Common Factor Method
Now, list down the factors of 5869
:1,5869
Now, list down the factors of 7605
:1,3,5,9,13,15,39,45,65,117,169,195,507,585,845,1521,2535,7605
Greatest Common Factor
We found the factors 5869,7605 . The biggest common factor number is the GCF number.
So the greatest common factor 5869,7605 is 1.
Lets's calculate LCM of 106,582
| 2 | 106, 582 |
| 53, 291 |
∴ So the LCM of the given numbers is 2 x 53 x 291 = 30846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30846
Therefore, the GCF of Fractions 5869/106,7605/582 is 1/30846
Least Common Multiple of 106,582 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 106,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,582) x common factors =2 x 1 = 2
LCM(106,582) = ( 106 × 582 ) / 2
LCM(106,582) = 61692 / 2
LCM(106,582) = 30846
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FAQs on GCF of Fractions of 5869/106, 7605/582
1. What is the HCF of 5869,7605?
The HCF of 5869,7605 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 5869/106, 7605/582?
Answer: GCF of Numerators as per given numbers 5869/106, 7605/582 is
GCF of Numerators i.e. for 5869,7605 is 1
LCM of denominators i.e. for 106,582 is 30846.
Thus, GCF of Fractions is 1/30846.Finally, GCF of Fractions for 5869/106, 7605/582 is 1/30846.