GCF of 9010/970, 3450/3546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9010/970, 3450/3546 i.e 10/1719810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9010/970, 3450/3546.
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 9010/970,3450/3546?
Given fractions are 9010/970,3450/3546
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 9010/970,3450/3546, numerators are 9010,3450
Denominators are 970,3546
The GCF of 9010,3450 is 10 .
LCM of 970,3546 is 1719810.
The greatest common factor of 9010/970,3450/3546 = [GCF of 9010,3450]/[LCM of 970,3546]= 10/1719810
Therefore, the GCF of 9010/970,3450/3546 is 10/1719810.
To find the highest common factor of 9010,3450, we have to find the factors of both numbers and list the highest common factor.
The factors of 9010 are 1, 2, 5, 10, 17, 34, 53, 85, 106, 170, 265, 530, 901, 1802, 4505, 9010
The factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450
The HCF of 9010,3450 is 10.
Lets's calculate GCF of 9010,3450
| 2 | 9010, 3450 |
| 5 | 4505, 1725 |
| 901, 345 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9010,3450 By Matching Biggest Common Factor Method
Now, list down the factors of 9010
:1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010
Now, list down the factors of 3450
:1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450
Greatest Common Factor
We found the factors 9010,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 9010,3450 is 10.
Lets's calculate LCM of 970,3546
| 2 | 970, 3546 |
| 485, 1773 |
∴ So the LCM of the given numbers is 2 x 485 x 1773 = 1719810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1719810
Therefore, the GCF of Fractions 9010/970,3450/3546 is 10/1719810
Least Common Multiple of 970,3546 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 970,3546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,3546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,3546) x common factors =2 x 1 = 2
LCM(970,3546) = ( 970 × 3546 ) / 2
LCM(970,3546) = 3439620 / 2
LCM(970,3546) = 1719810
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FAQs on GCF of Fractions of 9010/970, 3450/3546
1. What is the HCF of 9010,3450?
The HCF of 9010,3450 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 9010/970, 3450/3546?
Answer: GCF of Numerators as per given numbers 9010/970, 3450/3546 is
GCF of Numerators i.e. for 9010,3450 is 10
LCM of denominators i.e. for 970,3546 is 1719810.
Thus, GCF of Fractions is 10/1719810.Finally, GCF of Fractions for 9010/970, 3450/3546 is 10/1719810.