GCF of 20/465, 62/490, 900/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/465, 62/490, 900/310 i.e 2/45570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/465, 62/490, 900/310.
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 20/465,62/490,900/310?
Given fractions are 20/465,62/490,900/310
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 20/465,62/490,900/310, numerators are 20,62,900
Denominators are 465,490,310
The GCF of 20,62,900 is 2 .
LCM of 465,490,310 is 45570.
The greatest common factor of 20/465,62/490,900/310 = [GCF of 20,62,900]/[LCM of 465,490,310]= 2/45570
Therefore, the GCF of 20/465,62/490,900/310 is 2/45570.
To find the highest common factor of 20,62,900, 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 62 are 1, 2, 31, 62
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The HCF of 20,62,900 is 2.
Lets's calculate GCF of 20,62,900
| 2 | 20, 62, 900 |
| 10, 31, 450 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 20,62,900 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 62
:1,2,31,62
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 20,62,900 . The biggest common factor number is the GCF number.
So the greatest common factor 20,62,900 is 2.
Lets's calculate LCM of 465,490,310
| 2 | 465, 490, 310 |
| 5 | 465, 245, 155 |
| 31 | 93, 49, 31 |
| 3, 49, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 3 x 49 x 1 = 45570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45570
Therefore, the GCF of Fractions 20/465,62/490,900/310 is 2/45570
Least Common Multiple of 465,490,310 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 465,490,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,490,310) = 5
common factors(in case of two or more numbers have common factors) = 310
GCF(465,490,310) x common factors =5 x 310 = 1550
LCM(465,490,310) = ( 465 × 490 × 310 ) / 1550
LCM(465,490,310) = 70633500 / 1550
LCM(465,490,310) = 45570
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FAQs on GCF of Fractions of 20/465, 62/490, 900/310
1. What is the HCF of 20,62,900?
The HCF of 20,62,900 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 20/465, 62/490, 900/310?
Answer: GCF of Numerators as per given numbers 20/465, 62/490, 900/310 is
GCF of Numerators i.e. for 20,62,900 is 2
LCM of denominators i.e. for 465,490,310 is 45570.
Thus, GCF of Fractions is 2/45570.Finally, GCF of Fractions for 20/465, 62/490, 900/310 is 2/45570.