GCF of 1450/734, 6612/1620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1450/734, 6612/1620 i.e 58/594540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1450/734, 6612/1620.
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 1450/734,6612/1620?
Given fractions are 1450/734,6612/1620
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 1450/734,6612/1620, numerators are 1450,6612
Denominators are 734,1620
The GCF of 1450,6612 is 58 .
LCM of 734,1620 is 594540.
The greatest common factor of 1450/734,6612/1620 = [GCF of 1450,6612]/[LCM of 734,1620]= 58/594540
Therefore, the GCF of 1450/734,6612/1620 is 58/594540.
To find the highest common factor of 1450,6612, we have to find the factors of both numbers and list the highest common factor.
The factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
The factors of 6612 are 1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306, 6612
The HCF of 1450,6612 is 58.
Lets's calculate GCF of 1450,6612
| 2 | 1450, 6612 |
| 29 | 725, 3306 |
| 25, 114 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 1450,6612 By Matching Biggest Common Factor Method
Now, list down the factors of 1450
:1,2,5,10,25,29,50,58,145,290,725,1450
Now, list down the factors of 6612
:1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612
Greatest Common Factor
We found the factors 1450,6612 . The biggest common factor number is the GCF number.
So the greatest common factor 1450,6612 is 58.
Lets's calculate LCM of 734,1620
| 2 | 734, 1620 |
| 367, 810 |
∴ So the LCM of the given numbers is 2 x 367 x 810 = 594540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/594540
Therefore, the GCF of Fractions 1450/734,6612/1620 is 58/594540
Least Common Multiple of 734,1620 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 734,1620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,1620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,1620) x common factors =2 x 1 = 2
LCM(734,1620) = ( 734 × 1620 ) / 2
LCM(734,1620) = 1189080 / 2
LCM(734,1620) = 594540
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FAQs on GCF of Fractions of 1450/734, 6612/1620
1. What is the HCF of 1450,6612?
The HCF of 1450,6612 is 58
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 1450/734, 6612/1620?
Answer: GCF of Numerators as per given numbers 1450/734, 6612/1620 is
GCF of Numerators i.e. for 1450,6612 is 58
LCM of denominators i.e. for 734,1620 is 594540.
Thus, GCF of Fractions is 58/594540.Finally, GCF of Fractions for 1450/734, 6612/1620 is 58/594540.