GCF of 904/199, 1017/370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 904/199, 1017/370 i.e 113/73630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/199, 1017/370.
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 904/199,1017/370?
Given fractions are 904/199,1017/370
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 904/199,1017/370, numerators are 904,1017
Denominators are 199,370
The GCF of 904,1017 is 113 .
LCM of 199,370 is 73630.
The greatest common factor of 904/199,1017/370 = [GCF of 904,1017]/[LCM of 199,370]= 113/73630
Therefore, the GCF of 904/199,1017/370 is 113/73630.
To find the highest common factor of 904,1017, we have to find the factors of both numbers and list the highest common factor.
The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904
The factors of 1017 are 1, 3, 9, 113, 339, 1017
The HCF of 904,1017 is 113.
Lets's calculate GCF of 904,1017
| 113 | 904, 1017 |
| 8, 9 |
∴ So the GCF of the given numbers is 113 = 113
Greatest Common Factor of 904,1017 By Matching Biggest Common Factor Method
Now, list down the factors of 904
:1,2,4,8,113,226,452,904
Now, list down the factors of 1017
:1,3,9,113,339,1017
Greatest Common Factor
We found the factors 904,1017 . The biggest common factor number is the GCF number.
So the greatest common factor 904,1017 is 113.
Lets's calculate LCM of 199,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 73630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 113/73630
Therefore, the GCF of Fractions 904/199,1017/370 is 113/73630
Least Common Multiple of 199,370 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 199,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,370) x common factors =1 x 1 = 1
LCM(199,370) = ( 199 × 370 ) / 1
LCM(199,370) = 73630 / 1
LCM(199,370) = 73630
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FAQs on GCF of Fractions of 904/199, 1017/370
1. What is the HCF of 904,1017?
The HCF of 904,1017 is 113
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 904/199, 1017/370?
Answer: GCF of Numerators as per given numbers 904/199, 1017/370 is
GCF of Numerators i.e. for 904,1017 is 113
LCM of denominators i.e. for 199,370 is 73630.
Thus, GCF of Fractions is 113/73630.Finally, GCF of Fractions for 904/199, 1017/370 is 113/73630.