GCF of 8891/290, 9232/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8891/290, 9232/402 i.e 1/58290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8891/290, 9232/402.
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 8891/290,9232/402?
Given fractions are 8891/290,9232/402
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 8891/290,9232/402, numerators are 8891,9232
Denominators are 290,402
The GCF of 8891,9232 is 1 .
LCM of 290,402 is 58290.
The greatest common factor of 8891/290,9232/402 = [GCF of 8891,9232]/[LCM of 290,402]= 1/58290
Therefore, the GCF of 8891/290,9232/402 is 1/58290.
To find the highest common factor of 8891,9232, we have to find the factors of both numbers and list the highest common factor.
The factors of 8891 are 1, 17, 523, 8891
The factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232
The HCF of 8891,9232 is 1.
Lets's calculate GCF of 8891,9232
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8891,9232 By Matching Biggest Common Factor Method
Now, list down the factors of 8891
:1,17,523,8891
Now, list down the factors of 9232
:1,2,4,8,16,577,1154,2308,4616,9232
Greatest Common Factor
We found the factors 8891,9232 . The biggest common factor number is the GCF number.
So the greatest common factor 8891,9232 is 1.
Lets's calculate LCM of 290,402
| 2 | 290, 402 |
| 145, 201 |
∴ So the LCM of the given numbers is 2 x 145 x 201 = 58290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58290
Therefore, the GCF of Fractions 8891/290,9232/402 is 1/58290
Least Common Multiple of 290,402 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 290,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,402) x common factors =2 x 1 = 2
LCM(290,402) = ( 290 × 402 ) / 2
LCM(290,402) = 116580 / 2
LCM(290,402) = 58290
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FAQs on GCF of Fractions of 8891/290, 9232/402
1. What is the HCF of 8891,9232?
The HCF of 8891,9232 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 8891/290, 9232/402?
Answer: GCF of Numerators as per given numbers 8891/290, 9232/402 is
GCF of Numerators i.e. for 8891,9232 is 1
LCM of denominators i.e. for 290,402 is 58290.
Thus, GCF of Fractions is 1/58290.Finally, GCF of Fractions for 8891/290, 9232/402 is 1/58290.