GCF of 8050/960, 2020/9902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8050/960, 2020/9902 i.e 10/4752960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8050/960, 2020/9902.
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 8050/960,2020/9902?
Given fractions are 8050/960,2020/9902
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 8050/960,2020/9902, numerators are 8050,2020
Denominators are 960,9902
The GCF of 8050,2020 is 10 .
LCM of 960,9902 is 4752960.
The greatest common factor of 8050/960,2020/9902 = [GCF of 8050,2020]/[LCM of 960,9902]= 10/4752960
Therefore, the GCF of 8050/960,2020/9902 is 10/4752960.
To find the highest common factor of 8050,2020, we have to find the factors of both numbers and list the highest common factor.
The factors of 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050
The factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
The HCF of 8050,2020 is 10.
Lets's calculate GCF of 8050,2020
| 2 | 8050, 2020 |
| 5 | 4025, 1010 |
| 805, 202 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8050,2020 By Matching Biggest Common Factor Method
Now, list down the factors of 8050
:1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050
Now, list down the factors of 2020
:1,2,4,5,10,20,101,202,404,505,1010,2020
Greatest Common Factor
We found the factors 8050,2020 . The biggest common factor number is the GCF number.
So the greatest common factor 8050,2020 is 10.
Lets's calculate LCM of 960,9902
| 2 | 960, 9902 |
| 480, 4951 |
∴ So the LCM of the given numbers is 2 x 480 x 4951 = 4752960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4752960
Therefore, the GCF of Fractions 8050/960,2020/9902 is 10/4752960
Least Common Multiple of 960,9902 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 960,9902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,9902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,9902) x common factors =2 x 1 = 2
LCM(960,9902) = ( 960 × 9902 ) / 2
LCM(960,9902) = 9505920 / 2
LCM(960,9902) = 4752960
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FAQs on GCF of Fractions of 8050/960, 2020/9902
1. What is the HCF of 8050,2020?
The HCF of 8050,2020 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 8050/960, 2020/9902?
Answer: GCF of Numerators as per given numbers 8050/960, 2020/9902 is
GCF of Numerators i.e. for 8050,2020 is 10
LCM of denominators i.e. for 960,9902 is 4752960.
Thus, GCF of Fractions is 10/4752960.Finally, GCF of Fractions for 8050/960, 2020/9902 is 10/4752960.