GCF of 4310/596, 4075/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4310/596, 4075/789 i.e 5/470244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4310/596, 4075/789.
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 4310/596,4075/789?
Given fractions are 4310/596,4075/789
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 4310/596,4075/789, numerators are 4310,4075
Denominators are 596,789
The GCF of 4310,4075 is 5 .
LCM of 596,789 is 470244.
The greatest common factor of 4310/596,4075/789 = [GCF of 4310,4075]/[LCM of 596,789]= 5/470244
Therefore, the GCF of 4310/596,4075/789 is 5/470244.
To find the highest common factor of 4310,4075, we have to find the factors of both numbers and list the highest common factor.
The factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310
The factors of 4075 are 1, 5, 25, 163, 815, 4075
The HCF of 4310,4075 is 5.
Lets's calculate GCF of 4310,4075
| 5 | 4310, 4075 |
| 862, 815 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4310,4075 By Matching Biggest Common Factor Method
Now, list down the factors of 4310
:1,2,5,10,431,862,2155,4310
Now, list down the factors of 4075
:1,5,25,163,815,4075
Greatest Common Factor
We found the factors 4310,4075 . The biggest common factor number is the GCF number.
So the greatest common factor 4310,4075 is 5.
Lets's calculate LCM of 596,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 470244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/470244
Therefore, the GCF of Fractions 4310/596,4075/789 is 5/470244
Least Common Multiple of 596,789 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 596,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,789) x common factors =1 x 1 = 1
LCM(596,789) = ( 596 × 789 ) / 1
LCM(596,789) = 470244 / 1
LCM(596,789) = 470244
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FAQs on GCF of Fractions of 4310/596, 4075/789
1. What is the HCF of 4310,4075?
The HCF of 4310,4075 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 4310/596, 4075/789?
Answer: GCF of Numerators as per given numbers 4310/596, 4075/789 is
GCF of Numerators i.e. for 4310,4075 is 5
LCM of denominators i.e. for 596,789 is 470244.
Thus, GCF of Fractions is 5/470244.Finally, GCF of Fractions for 4310/596, 4075/789 is 5/470244.