GCF of 3060/851, 1640/3137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3060/851, 1640/3137 i.e 20/2669587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3060/851, 1640/3137.
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 3060/851,1640/3137?
Given fractions are 3060/851,1640/3137
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 3060/851,1640/3137, numerators are 3060,1640
Denominators are 851,3137
The GCF of 3060,1640 is 20 .
LCM of 851,3137 is 2669587.
The greatest common factor of 3060/851,1640/3137 = [GCF of 3060,1640]/[LCM of 851,3137]= 20/2669587
Therefore, the GCF of 3060/851,1640/3137 is 20/2669587.
To find the highest common factor of 3060,1640, we have to find the factors of both numbers and list the highest common factor.
The factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060
The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
The HCF of 3060,1640 is 20.
Lets's calculate GCF of 3060,1640
| 2 | 3060, 1640 |
| 2 | 1530, 820 |
| 5 | 765, 410 |
| 153, 82 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 3060,1640 By Matching Biggest Common Factor Method
Now, list down the factors of 3060
:1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060
Now, list down the factors of 1640
:1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Greatest Common Factor
We found the factors 3060,1640 . The biggest common factor number is the GCF number.
So the greatest common factor 3060,1640 is 20.
Lets's calculate LCM of 851,3137
Given numbers has no common factors except 1. So, there LCM is their product i.e 2669587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/2669587
Therefore, the GCF of Fractions 3060/851,1640/3137 is 20/2669587
Least Common Multiple of 851,3137 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 851,3137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,3137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,3137) x common factors =1 x 1 = 1
LCM(851,3137) = ( 851 × 3137 ) / 1
LCM(851,3137) = 2669587 / 1
LCM(851,3137) = 2669587
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FAQs on GCF of Fractions of 3060/851, 1640/3137
1. What is the HCF of 3060,1640?
The HCF of 3060,1640 is 20
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 3060/851, 1640/3137?
Answer: GCF of Numerators as per given numbers 3060/851, 1640/3137 is
GCF of Numerators i.e. for 3060,1640 is 20
LCM of denominators i.e. for 851,3137 is 2669587.
Thus, GCF of Fractions is 20/2669587.Finally, GCF of Fractions for 3060/851, 1640/3137 is 20/2669587.