GCF of 4278/827, 9598/4596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4278/827, 9598/4596 i.e 2/3800892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4278/827, 9598/4596.
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 4278/827,9598/4596?
Given fractions are 4278/827,9598/4596
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 4278/827,9598/4596, numerators are 4278,9598
Denominators are 827,4596
The GCF of 4278,9598 is 2 .
LCM of 827,4596 is 3800892.
The greatest common factor of 4278/827,9598/4596 = [GCF of 4278,9598]/[LCM of 827,4596]= 2/3800892
Therefore, the GCF of 4278/827,9598/4596 is 2/3800892.
To find the highest common factor of 4278,9598, we have to find the factors of both numbers and list the highest common factor.
The factors of 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278
The factors of 9598 are 1, 2, 4799, 9598
The HCF of 4278,9598 is 2.
Lets's calculate GCF of 4278,9598
| 2 | 4278, 9598 |
| 2139, 4799 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4278,9598 By Matching Biggest Common Factor Method
Now, list down the factors of 4278
:1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278
Now, list down the factors of 9598
:1,2,4799,9598
Greatest Common Factor
We found the factors 4278,9598 . The biggest common factor number is the GCF number.
So the greatest common factor 4278,9598 is 2.
Lets's calculate LCM of 827,4596
Given numbers has no common factors except 1. So, there LCM is their product i.e 3800892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3800892
Therefore, the GCF of Fractions 4278/827,9598/4596 is 2/3800892
Least Common Multiple of 827,4596 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 827,4596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,4596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,4596) x common factors =1 x 1 = 1
LCM(827,4596) = ( 827 × 4596 ) / 1
LCM(827,4596) = 3800892 / 1
LCM(827,4596) = 3800892
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4278/827, 9598/4596
1. What is the HCF of 4278,9598?
The HCF of 4278,9598 is 2
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 4278/827, 9598/4596?
Answer: GCF of Numerators as per given numbers 4278/827, 9598/4596 is
GCF of Numerators i.e. for 4278,9598 is 2
LCM of denominators i.e. for 827,4596 is 3800892.
Thus, GCF of Fractions is 2/3800892.Finally, GCF of Fractions for 4278/827, 9598/4596 is 2/3800892.