GCF of 1660/338, 9050/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1660/338, 9050/614 i.e 10/103766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1660/338, 9050/614.
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 1660/338,9050/614?
Given fractions are 1660/338,9050/614
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 1660/338,9050/614, numerators are 1660,9050
Denominators are 338,614
The GCF of 1660,9050 is 10 .
LCM of 338,614 is 103766.
The greatest common factor of 1660/338,9050/614 = [GCF of 1660,9050]/[LCM of 338,614]= 10/103766
Therefore, the GCF of 1660/338,9050/614 is 10/103766.
To find the highest common factor of 1660,9050, we have to find the factors of both numbers and list the highest common factor.
The factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660
The factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050
The HCF of 1660,9050 is 10.
Lets's calculate GCF of 1660,9050
| 2 | 1660, 9050 |
| 5 | 830, 4525 |
| 166, 905 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1660,9050 By Matching Biggest Common Factor Method
Now, list down the factors of 1660
:1,2,4,5,10,20,83,166,332,415,830,1660
Now, list down the factors of 9050
:1,2,5,10,25,50,181,362,905,1810,4525,9050
Greatest Common Factor
We found the factors 1660,9050 . The biggest common factor number is the GCF number.
So the greatest common factor 1660,9050 is 10.
Lets's calculate LCM of 338,614
| 2 | 338, 614 |
| 169, 307 |
∴ So the LCM of the given numbers is 2 x 169 x 307 = 103766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/103766
Therefore, the GCF of Fractions 1660/338,9050/614 is 10/103766
Least Common Multiple of 338,614 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 338,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(338,614) x common factors =2 x 1 = 2
LCM(338,614) = ( 338 × 614 ) / 2
LCM(338,614) = 207532 / 2
LCM(338,614) = 103766
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FAQs on GCF of Fractions of 1660/338, 9050/614
1. What is the HCF of 1660,9050?
The HCF of 1660,9050 is 10
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 1660/338, 9050/614?
Answer: GCF of Numerators as per given numbers 1660/338, 9050/614 is
GCF of Numerators i.e. for 1660,9050 is 10
LCM of denominators i.e. for 338,614 is 103766.
Thus, GCF of Fractions is 10/103766.Finally, GCF of Fractions for 1660/338, 9050/614 is 10/103766.