GCF of 738/933, 9430/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 738/933, 9430/160 i.e 82/149280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 738/933, 9430/160.
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 738/933,9430/160?
Given fractions are 738/933,9430/160
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 738/933,9430/160, numerators are 738,9430
Denominators are 933,160
The GCF of 738,9430 is 82 .
LCM of 933,160 is 149280.
The greatest common factor of 738/933,9430/160 = [GCF of 738,9430]/[LCM of 933,160]= 82/149280
Therefore, the GCF of 738/933,9430/160 is 82/149280.
To find the highest common factor of 738,9430, we have to find the factors of both numbers and list the highest common factor.
The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
The factors of 9430 are 1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430
The HCF of 738,9430 is 82.
Lets's calculate GCF of 738,9430
| 2 | 738, 9430 |
| 41 | 369, 4715 |
| 9, 115 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 738,9430 By Matching Biggest Common Factor Method
Now, list down the factors of 738
:1,2,3,6,9,18,41,82,123,246,369,738
Now, list down the factors of 9430
:1,2,5,10,23,41,46,82,115,205,230,410,943,1886,4715,9430
Greatest Common Factor
We found the factors 738,9430 . The biggest common factor number is the GCF number.
So the greatest common factor 738,9430 is 82.
Lets's calculate LCM of 933,160
Given numbers has no common factors except 1. So, there LCM is their product i.e 149280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/149280
Therefore, the GCF of Fractions 738/933,9430/160 is 82/149280
Least Common Multiple of 933,160 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 933,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,160) x common factors =1 x 1 = 1
LCM(933,160) = ( 933 × 160 ) / 1
LCM(933,160) = 149280 / 1
LCM(933,160) = 149280
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FAQs on GCF of Fractions of 738/933, 9430/160
1. What is the HCF of 738,9430?
The HCF of 738,9430 is 82
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 738/933, 9430/160?
Answer: GCF of Numerators as per given numbers 738/933, 9430/160 is
GCF of Numerators i.e. for 738,9430 is 82
LCM of denominators i.e. for 933,160 is 149280.
Thus, GCF of Fractions is 82/149280.Finally, GCF of Fractions for 738/933, 9430/160 is 82/149280.