GCF of 20/313, 374/855, 960/499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/313, 374/855, 960/499 i.e 2/133539885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/313, 374/855, 960/499.
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 20/313,374/855,960/499?
Given fractions are 20/313,374/855,960/499
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 20/313,374/855,960/499, numerators are 20,374,960
Denominators are 313,855,499
The GCF of 20,374,960 is 2 .
LCM of 313,855,499 is 133539885.
The greatest common factor of 20/313,374/855,960/499 = [GCF of 20,374,960]/[LCM of 313,855,499]= 2/133539885
Therefore, the GCF of 20/313,374/855,960/499 is 2/133539885.
To find the highest common factor of 20,374,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 20,374,960 is 2.
Lets's calculate GCF of 20,374,960
| 2 | 20, 374, 960 |
| 10, 187, 480 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 20,374,960 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 20,374,960 . The biggest common factor number is the GCF number.
So the greatest common factor 20,374,960 is 2.
Lets's calculate LCM of 313,855,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 133539885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133539885
Therefore, the GCF of Fractions 20/313,374/855,960/499 is 2/133539885
Least Common Multiple of 313,855,499 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 313,855,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,855,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,855,499) x common factors =1 x 1 = 1
LCM(313,855,499) = ( 313 × 855 × 499 ) / 1
LCM(313,855,499) = 133539885 / 1
LCM(313,855,499) = 133539885
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FAQs on GCF of Fractions of 20/313, 374/855, 960/499
1. What is the HCF of 20,374,960?
The HCF of 20,374,960 is 2
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 20/313, 374/855, 960/499?
Answer: GCF of Numerators as per given numbers 20/313, 374/855, 960/499 is
GCF of Numerators i.e. for 20,374,960 is 2
LCM of denominators i.e. for 313,855,499 is 133539885.
Thus, GCF of Fractions is 2/133539885.Finally, GCF of Fractions for 20/313, 374/855, 960/499 is 2/133539885.