GCF of 2020/575, 9170/450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2020/575, 9170/450 i.e 10/10350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2020/575, 9170/450.
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 2020/575,9170/450?
Given fractions are 2020/575,9170/450
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 2020/575,9170/450, numerators are 2020,9170
Denominators are 575,450
The GCF of 2020,9170 is 10 .
LCM of 575,450 is 10350.
The greatest common factor of 2020/575,9170/450 = [GCF of 2020,9170]/[LCM of 575,450]= 10/10350
Therefore, the GCF of 2020/575,9170/450 is 10/10350.
To find the highest common factor of 2020,9170, we have to find the factors of both numbers and list the highest common factor.
The factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
The factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The HCF of 2020,9170 is 10.
Lets's calculate GCF of 2020,9170
| 2 | 2020, 9170 |
| 5 | 1010, 4585 |
| 202, 917 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2020,9170 By Matching Biggest Common Factor Method
Now, list down the factors of 2020
:1,2,4,5,10,20,101,202,404,505,1010,2020
Now, list down the factors of 9170
:1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170
Greatest Common Factor
We found the factors 2020,9170 . The biggest common factor number is the GCF number.
So the greatest common factor 2020,9170 is 10.
Lets's calculate LCM of 575,450
| 5 | 575, 450 |
| 5 | 115, 90 |
| 23, 18 |
∴ So the LCM of the given numbers is 5 x 5 x 23 x 18 = 10350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/10350
Therefore, the GCF of Fractions 2020/575,9170/450 is 10/10350
Least Common Multiple of 575,450 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 575,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,450) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(575,450) x common factors =25 x 1 = 25
LCM(575,450) = ( 575 × 450 ) / 25
LCM(575,450) = 258750 / 25
LCM(575,450) = 10350
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FAQs on GCF of Fractions of 2020/575, 9170/450
1. What is the HCF of 2020,9170?
The HCF of 2020,9170 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 2020/575, 9170/450?
Answer: GCF of Numerators as per given numbers 2020/575, 9170/450 is
GCF of Numerators i.e. for 2020,9170 is 10
LCM of denominators i.e. for 575,450 is 10350.
Thus, GCF of Fractions is 10/10350.Finally, GCF of Fractions for 2020/575, 9170/450 is 10/10350.