GCF of 430/984, 965/113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/984, 965/113 i.e 5/111192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/984, 965/113.
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 430/984,965/113?
Given fractions are 430/984,965/113
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 430/984,965/113, numerators are 430,965
Denominators are 984,113
The GCF of 430,965 is 5 .
LCM of 984,113 is 111192.
The greatest common factor of 430/984,965/113 = [GCF of 430,965]/[LCM of 984,113]= 5/111192
Therefore, the GCF of 430/984,965/113 is 5/111192.
To find the highest common factor of 430,965, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 965 are 1, 5, 193, 965
The HCF of 430,965 is 5.
Lets's calculate GCF of 430,965
| 5 | 430, 965 |
| 86, 193 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 430,965 By Matching Biggest Common Factor Method
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 965
:1,5,193,965
Greatest Common Factor
We found the factors 430,965 . The biggest common factor number is the GCF number.
So the greatest common factor 430,965 is 5.
Lets's calculate LCM of 984,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 111192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/111192
Therefore, the GCF of Fractions 430/984,965/113 is 5/111192
Least Common Multiple of 984,113 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 984,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(984,113) x common factors =1 x 1 = 1
LCM(984,113) = ( 984 × 113 ) / 1
LCM(984,113) = 111192 / 1
LCM(984,113) = 111192
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FAQs on GCF of Fractions of 430/984, 965/113
1. What is the HCF of 430,965?
The HCF of 430,965 is 5
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 430/984, 965/113?
Answer: GCF of Numerators as per given numbers 430/984, 965/113 is
GCF of Numerators i.e. for 430,965 is 5
LCM of denominators i.e. for 984,113 is 111192.
Thus, GCF of Fractions is 5/111192.Finally, GCF of Fractions for 430/984, 965/113 is 5/111192.