GCF of 3829/603, 4570/8901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3829/603, 4570/8901 i.e 1/596367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3829/603, 4570/8901.
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 3829/603,4570/8901?
Given fractions are 3829/603,4570/8901
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 3829/603,4570/8901, numerators are 3829,4570
Denominators are 603,8901
The GCF of 3829,4570 is 1 .
LCM of 603,8901 is 596367.
The greatest common factor of 3829/603,4570/8901 = [GCF of 3829,4570]/[LCM of 603,8901]= 1/596367
Therefore, the GCF of 3829/603,4570/8901 is 1/596367.
To find the highest common factor of 3829,4570, we have to find the factors of both numbers and list the highest common factor.
The factors of 3829 are 1, 7, 547, 3829
The factors of 4570 are 1, 2, 5, 10, 457, 914, 2285, 4570
The HCF of 3829,4570 is 1.
Lets's calculate GCF of 3829,4570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3829,4570 By Matching Biggest Common Factor Method
Now, list down the factors of 3829
:1,7,547,3829
Now, list down the factors of 4570
:1,2,5,10,457,914,2285,4570
Greatest Common Factor
We found the factors 3829,4570 . The biggest common factor number is the GCF number.
So the greatest common factor 3829,4570 is 1.
Lets's calculate LCM of 603,8901
| 3 | 603, 8901 |
| 3 | 201, 2967 |
| 67, 989 |
∴ So the LCM of the given numbers is 3 x 3 x 67 x 989 = 596367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596367
Therefore, the GCF of Fractions 3829/603,4570/8901 is 1/596367
Least Common Multiple of 603,8901 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 603,8901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,8901) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(603,8901) x common factors =9 x 1 = 9
LCM(603,8901) = ( 603 × 8901 ) / 9
LCM(603,8901) = 5367303 / 9
LCM(603,8901) = 596367
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3829/603, 4570/8901
1. What is the HCF of 3829,4570?
The HCF of 3829,4570 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 3829/603, 4570/8901?
Answer: GCF of Numerators as per given numbers 3829/603, 4570/8901 is
GCF of Numerators i.e. for 3829,4570 is 1
LCM of denominators i.e. for 603,8901 is 596367.
Thus, GCF of Fractions is 1/596367.Finally, GCF of Fractions for 3829/603, 4570/8901 is 1/596367.