GCF of 5959/224, 6580/9753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5959/224, 6580/9753 i.e 1/2184672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5959/224, 6580/9753.
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 5959/224,6580/9753?
Given fractions are 5959/224,6580/9753
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 5959/224,6580/9753, numerators are 5959,6580
Denominators are 224,9753
The GCF of 5959,6580 is 1 .
LCM of 224,9753 is 2184672.
The greatest common factor of 5959/224,6580/9753 = [GCF of 5959,6580]/[LCM of 224,9753]= 1/2184672
Therefore, the GCF of 5959/224,6580/9753 is 1/2184672.
To find the highest common factor of 5959,6580, we have to find the factors of both numbers and list the highest common factor.
The factors of 5959 are 1, 59, 101, 5959
The factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580
The HCF of 5959,6580 is 1.
Lets's calculate GCF of 5959,6580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5959,6580 By Matching Biggest Common Factor Method
Now, list down the factors of 5959
:1,59,101,5959
Now, list down the factors of 6580
:1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580
Greatest Common Factor
We found the factors 5959,6580 . The biggest common factor number is the GCF number.
So the greatest common factor 5959,6580 is 1.
Lets's calculate LCM of 224,9753
Given numbers has no common factors except 1. So, there LCM is their product i.e 2184672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2184672
Therefore, the GCF of Fractions 5959/224,6580/9753 is 1/2184672
Least Common Multiple of 224,9753 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 224,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,9753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,9753) x common factors =1 x 1 = 1
LCM(224,9753) = ( 224 × 9753 ) / 1
LCM(224,9753) = 2184672 / 1
LCM(224,9753) = 2184672
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5959/224, 6580/9753
1. What is the HCF of 5959,6580?
The HCF of 5959,6580 is 1
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 5959/224, 6580/9753?
Answer: GCF of Numerators as per given numbers 5959/224, 6580/9753 is
GCF of Numerators i.e. for 5959,6580 is 1
LCM of denominators i.e. for 224,9753 is 2184672.
Thus, GCF of Fractions is 1/2184672.Finally, GCF of Fractions for 5959/224, 6580/9753 is 1/2184672.