GCF of 9023/668, 9888/5260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9023/668, 9888/5260 i.e 1/878420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9023/668, 9888/5260.
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 9023/668,9888/5260?
Given fractions are 9023/668,9888/5260
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 9023/668,9888/5260, numerators are 9023,9888
Denominators are 668,5260
The GCF of 9023,9888 is 1 .
LCM of 668,5260 is 878420.
The greatest common factor of 9023/668,9888/5260 = [GCF of 9023,9888]/[LCM of 668,5260]= 1/878420
Therefore, the GCF of 9023/668,9888/5260 is 1/878420.
To find the highest common factor of 9023,9888, we have to find the factors of both numbers and list the highest common factor.
The factors of 9023 are 1, 7, 1289, 9023
The factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888
The HCF of 9023,9888 is 1.
Lets's calculate GCF of 9023,9888
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9023,9888 By Matching Biggest Common Factor Method
Now, list down the factors of 9023
:1,7,1289,9023
Now, list down the factors of 9888
:1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888
Greatest Common Factor
We found the factors 9023,9888 . The biggest common factor number is the GCF number.
So the greatest common factor 9023,9888 is 1.
Lets's calculate LCM of 668,5260
| 2 | 668, 5260 |
| 2 | 334, 2630 |
| 167, 1315 |
∴ So the LCM of the given numbers is 2 x 2 x 167 x 1315 = 878420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/878420
Therefore, the GCF of Fractions 9023/668,9888/5260 is 1/878420
Least Common Multiple of 668,5260 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 668,5260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,5260) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(668,5260) x common factors =4 x 1 = 4
LCM(668,5260) = ( 668 × 5260 ) / 4
LCM(668,5260) = 3513680 / 4
LCM(668,5260) = 878420
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FAQs on GCF of Fractions of 9023/668, 9888/5260
1. What is the HCF of 9023,9888?
The HCF of 9023,9888 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 9023/668, 9888/5260?
Answer: GCF of Numerators as per given numbers 9023/668, 9888/5260 is
GCF of Numerators i.e. for 9023,9888 is 1
LCM of denominators i.e. for 668,5260 is 878420.
Thus, GCF of Fractions is 1/878420.Finally, GCF of Fractions for 9023/668, 9888/5260 is 1/878420.