GCF of 8990/841, 6670/3399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8990/841, 6670/3399 i.e 290/2858559 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8990/841, 6670/3399.
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 8990/841,6670/3399?
Given fractions are 8990/841,6670/3399
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 8990/841,6670/3399, numerators are 8990,6670
Denominators are 841,3399
The GCF of 8990,6670 is 290 .
LCM of 841,3399 is 2858559.
The greatest common factor of 8990/841,6670/3399 = [GCF of 8990,6670]/[LCM of 841,3399]= 290/2858559
Therefore, the GCF of 8990/841,6670/3399 is 290/2858559.
To find the highest common factor of 8990,6670, we have to find the factors of both numbers and list the highest common factor.
The factors of 8990 are 1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The HCF of 8990,6670 is 290.
Lets's calculate GCF of 8990,6670
| 2 | 8990, 6670 |
| 5 | 4495, 3335 |
| 29 | 899, 667 |
| 31, 23 |
∴ So the GCF of the given numbers is 2 x 5 x 29 = 290
Greatest Common Factor of 8990,6670 By Matching Biggest Common Factor Method
Now, list down the factors of 8990
:1,2,5,10,29,31,58,62,145,155,290,310,899,1798,4495,8990
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Greatest Common Factor
We found the factors 8990,6670 . The biggest common factor number is the GCF number.
So the greatest common factor 8990,6670 is 290.
Lets's calculate LCM of 841,3399
Given numbers has no common factors except 1. So, there LCM is their product i.e 2858559
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 290/2858559
Therefore, the GCF of Fractions 8990/841,6670/3399 is 290/2858559
Least Common Multiple of 841,3399 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 841,3399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,3399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,3399) x common factors =1 x 1 = 1
LCM(841,3399) = ( 841 × 3399 ) / 1
LCM(841,3399) = 2858559 / 1
LCM(841,3399) = 2858559
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FAQs on GCF of Fractions of 8990/841, 6670/3399
1. What is the HCF of 8990,6670?
The HCF of 8990,6670 is 290
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 8990/841, 6670/3399?
Answer: GCF of Numerators as per given numbers 8990/841, 6670/3399 is
GCF of Numerators i.e. for 8990,6670 is 290
LCM of denominators i.e. for 841,3399 is 2858559.
Thus, GCF of Fractions is 290/2858559.Finally, GCF of Fractions for 8990/841, 6670/3399 is 290/2858559.