GCF of 9345/416, 4262/5488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9345/416, 4262/5488 i.e 1/142688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9345/416, 4262/5488.
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 9345/416,4262/5488?
Given fractions are 9345/416,4262/5488
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 9345/416,4262/5488, numerators are 9345,4262
Denominators are 416,5488
The GCF of 9345,4262 is 1 .
LCM of 416,5488 is 142688.
The greatest common factor of 9345/416,4262/5488 = [GCF of 9345,4262]/[LCM of 416,5488]= 1/142688
Therefore, the GCF of 9345/416,4262/5488 is 1/142688.
To find the highest common factor of 9345,4262, we have to find the factors of both numbers and list the highest common factor.
The factors of 9345 are 1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115, 9345
The factors of 4262 are 1, 2, 2131, 4262
The HCF of 9345,4262 is 1.
Lets's calculate GCF of 9345,4262
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9345,4262 By Matching Biggest Common Factor Method
Now, list down the factors of 9345
:1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345
Now, list down the factors of 4262
:1,2,2131,4262
Greatest Common Factor
We found the factors 9345,4262 . The biggest common factor number is the GCF number.
So the greatest common factor 9345,4262 is 1.
Lets's calculate LCM of 416,5488
| 2 | 416, 5488 |
| 2 | 208, 2744 |
| 2 | 104, 1372 |
| 2 | 52, 686 |
| 26, 343 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 26 x 343 = 142688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142688
Therefore, the GCF of Fractions 9345/416,4262/5488 is 1/142688
Least Common Multiple of 416,5488 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 416,5488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,5488) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(416,5488) x common factors =16 x 1 = 16
LCM(416,5488) = ( 416 × 5488 ) / 16
LCM(416,5488) = 2283008 / 16
LCM(416,5488) = 142688
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FAQs on GCF of Fractions of 9345/416, 4262/5488
1. What is the HCF of 9345,4262?
The HCF of 9345,4262 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 9345/416, 4262/5488?
Answer: GCF of Numerators as per given numbers 9345/416, 4262/5488 is
GCF of Numerators i.e. for 9345,4262 is 1
LCM of denominators i.e. for 416,5488 is 142688.
Thus, GCF of Fractions is 1/142688.Finally, GCF of Fractions for 9345/416, 4262/5488 is 1/142688.