GCF of 8990/202, 2910/1067
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8990/202, 2910/1067 i.e 10/215534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8990/202, 2910/1067.
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 8990/202,2910/1067?
Given fractions are 8990/202,2910/1067
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 8990/202,2910/1067, numerators are 8990,2910
Denominators are 202,1067
The GCF of 8990,2910 is 10 .
LCM of 202,1067 is 215534.
The greatest common factor of 8990/202,2910/1067 = [GCF of 8990,2910]/[LCM of 202,1067]= 10/215534
Therefore, the GCF of 8990/202,2910/1067 is 10/215534.
To find the highest common factor of 8990,2910, 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 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910
The HCF of 8990,2910 is 10.
Lets's calculate GCF of 8990,2910
| 2 | 8990, 2910 |
| 5 | 4495, 1455 |
| 899, 291 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8990,2910 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 2910
:1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910
Greatest Common Factor
We found the factors 8990,2910 . The biggest common factor number is the GCF number.
So the greatest common factor 8990,2910 is 10.
Lets's calculate LCM of 202,1067
Given numbers has no common factors except 1. So, there LCM is their product i.e 215534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/215534
Therefore, the GCF of Fractions 8990/202,2910/1067 is 10/215534
Least Common Multiple of 202,1067 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 202,1067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,1067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,1067) x common factors =1 x 1 = 1
LCM(202,1067) = ( 202 × 1067 ) / 1
LCM(202,1067) = 215534 / 1
LCM(202,1067) = 215534
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FAQs on GCF of Fractions of 8990/202, 2910/1067
1. What is the HCF of 8990,2910?
The HCF of 8990,2910 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 8990/202, 2910/1067?
Answer: GCF of Numerators as per given numbers 8990/202, 2910/1067 is
GCF of Numerators i.e. for 8990,2910 is 10
LCM of denominators i.e. for 202,1067 is 215534.
Thus, GCF of Fractions is 10/215534.Finally, GCF of Fractions for 8990/202, 2910/1067 is 10/215534.