GCF of 8790/578, 2290/8984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8790/578, 2290/8984 i.e 10/2596376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8790/578, 2290/8984.
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 8790/578,2290/8984?
Given fractions are 8790/578,2290/8984
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 8790/578,2290/8984, numerators are 8790,2290
Denominators are 578,8984
The GCF of 8790,2290 is 10 .
LCM of 578,8984 is 2596376.
The greatest common factor of 8790/578,2290/8984 = [GCF of 8790,2290]/[LCM of 578,8984]= 10/2596376
Therefore, the GCF of 8790/578,2290/8984 is 10/2596376.
To find the highest common factor of 8790,2290, we have to find the factors of both numbers and list the highest common factor.
The factors of 8790 are 1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790
The factors of 2290 are 1, 2, 5, 10, 229, 458, 1145, 2290
The HCF of 8790,2290 is 10.
Lets's calculate GCF of 8790,2290
| 2 | 8790, 2290 |
| 5 | 4395, 1145 |
| 879, 229 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8790,2290 By Matching Biggest Common Factor Method
Now, list down the factors of 8790
:1,2,3,5,6,10,15,30,293,586,879,1465,1758,2930,4395,8790
Now, list down the factors of 2290
:1,2,5,10,229,458,1145,2290
Greatest Common Factor
We found the factors 8790,2290 . The biggest common factor number is the GCF number.
So the greatest common factor 8790,2290 is 10.
Lets's calculate LCM of 578,8984
| 2 | 578, 8984 |
| 289, 4492 |
∴ So the LCM of the given numbers is 2 x 289 x 4492 = 2596376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2596376
Therefore, the GCF of Fractions 8790/578,2290/8984 is 10/2596376
Least Common Multiple of 578,8984 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 578,8984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,8984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,8984) x common factors =2 x 1 = 2
LCM(578,8984) = ( 578 × 8984 ) / 2
LCM(578,8984) = 5192752 / 2
LCM(578,8984) = 2596376
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FAQs on GCF of Fractions of 8790/578, 2290/8984
1. What is the HCF of 8790,2290?
The HCF of 8790,2290 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 8790/578, 2290/8984?
Answer: GCF of Numerators as per given numbers 8790/578, 2290/8984 is
GCF of Numerators i.e. for 8790,2290 is 10
LCM of denominators i.e. for 578,8984 is 2596376.
Thus, GCF of Fractions is 10/2596376.Finally, GCF of Fractions for 8790/578, 2290/8984 is 10/2596376.