GCF of 8990/324, 1221/9102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8990/324, 1221/9102 i.e 1/491508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8990/324, 1221/9102.
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 8990/324,1221/9102?
Given fractions are 8990/324,1221/9102
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 8990/324,1221/9102, numerators are 8990,1221
Denominators are 324,9102
The GCF of 8990,1221 is 1 .
LCM of 324,9102 is 491508.
The greatest common factor of 8990/324,1221/9102 = [GCF of 8990,1221]/[LCM of 324,9102]= 1/491508
Therefore, the GCF of 8990/324,1221/9102 is 1/491508.
To find the highest common factor of 8990,1221, 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 1221 are 1, 3, 11, 33, 37, 111, 407, 1221
The HCF of 8990,1221 is 1.
Lets's calculate GCF of 8990,1221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8990,1221 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 1221
:1,3,11,33,37,111,407,1221
Greatest Common Factor
We found the factors 8990,1221 . The biggest common factor number is the GCF number.
So the greatest common factor 8990,1221 is 1.
Lets's calculate LCM of 324,9102
| 2 | 324, 9102 |
| 3 | 162, 4551 |
| 54, 1517 |
∴ So the LCM of the given numbers is 2 x 3 x 54 x 1517 = 491508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491508
Therefore, the GCF of Fractions 8990/324,1221/9102 is 1/491508
Least Common Multiple of 324,9102 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 324,9102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,9102) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(324,9102) x common factors =6 x 1 = 6
LCM(324,9102) = ( 324 × 9102 ) / 6
LCM(324,9102) = 2949048 / 6
LCM(324,9102) = 491508
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FAQs on GCF of Fractions of 8990/324, 1221/9102
1. What is the HCF of 8990,1221?
The HCF of 8990,1221 is 1
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 8990/324, 1221/9102?
Answer: GCF of Numerators as per given numbers 8990/324, 1221/9102 is
GCF of Numerators i.e. for 8990,1221 is 1
LCM of denominators i.e. for 324,9102 is 491508.
Thus, GCF of Fractions is 1/491508.Finally, GCF of Fractions for 8990/324, 1221/9102 is 1/491508.