GCF of 5383/839, 6650/529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5383/839, 6650/529 i.e 7/443831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5383/839, 6650/529.
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 5383/839,6650/529?
Given fractions are 5383/839,6650/529
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 5383/839,6650/529, numerators are 5383,6650
Denominators are 839,529
The GCF of 5383,6650 is 7 .
LCM of 839,529 is 443831.
The greatest common factor of 5383/839,6650/529 = [GCF of 5383,6650]/[LCM of 839,529]= 7/443831
Therefore, the GCF of 5383/839,6650/529 is 7/443831.
To find the highest common factor of 5383,6650, we have to find the factors of both numbers and list the highest common factor.
The factors of 5383 are 1, 7, 769, 5383
The factors of 6650 are 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650
The HCF of 5383,6650 is 7.
Lets's calculate GCF of 5383,6650
| 7 | 5383, 6650 |
| 769, 950 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5383,6650 By Matching Biggest Common Factor Method
Now, list down the factors of 5383
:1,7,769,5383
Now, list down the factors of 6650
:1,2,5,7,10,14,19,25,35,38,50,70,95,133,175,190,266,350,475,665,950,1330,3325,6650
Greatest Common Factor
We found the factors 5383,6650 . The biggest common factor number is the GCF number.
So the greatest common factor 5383,6650 is 7.
Lets's calculate LCM of 839,529
Given numbers has no common factors except 1. So, there LCM is their product i.e 443831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/443831
Therefore, the GCF of Fractions 5383/839,6650/529 is 7/443831
Least Common Multiple of 839,529 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 839,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,529) x common factors =1 x 1 = 1
LCM(839,529) = ( 839 × 529 ) / 1
LCM(839,529) = 443831 / 1
LCM(839,529) = 443831
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5383/839, 6650/529
1. What is the HCF of 5383,6650?
The HCF of 5383,6650 is 7
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 5383/839, 6650/529?
Answer: GCF of Numerators as per given numbers 5383/839, 6650/529 is
GCF of Numerators i.e. for 5383,6650 is 7
LCM of denominators i.e. for 839,529 is 443831.
Thus, GCF of Fractions is 7/443831.Finally, GCF of Fractions for 5383/839, 6650/529 is 7/443831.