Use our free GCF of Fractions Calculator tool to compute the GCF of 9212/609, 5220/3250 i.e 4/1979250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9212/609, 5220/3250.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9212/609,5220/3250
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 9212/609,5220/3250, numerators are 9212,5220
Denominators are 609,3250
The GCF of 9212,5220 is 4 .
LCM of 609,3250 is 1979250.
The greatest common factor of 9212/609,5220/3250 = [GCF of 9212,5220]/[LCM of 609,3250]= 4/1979250
Therefore, the GCF of 9212/609,5220/3250 is 4/1979250.
To find the highest common factor of 9212,5220, we have to find the factors of both numbers and list the highest common factor.
The factors of 9212 are 1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212
The factors of 5220 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220
The HCF of 9212,5220 is 4.
Lets's calculate GCF of 9212,5220
2 | 9212, 5220 |
2 | 4606, 2610 |
2303, 1305 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 9212
:1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212
Now, list down the factors of 5220
:1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220
Greatest Common Factor
We found the factors 9212,5220 . The biggest common factor number is the GCF number.
So the greatest common factor 9212,5220 is 4.
Lets's calculate LCM of 609,3250
Given numbers has no common factors except 1. So, there LCM is their product i.e 1979250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1979250
Therefore, the GCF of Fractions 9212/609,5220/3250 is 4/1979250
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 609,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,3250) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,3250) x common factors =1 x 1 = 1
LCM(609,3250) = ( 609 × 3250 ) / 1
LCM(609,3250) = 1979250 / 1
LCM(609,3250) = 1979250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9212,5220?
The HCF of 9212,5220 is 4
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 9212/609, 5220/3250?
Answer: GCF of Numerators as per given numbers 9212/609, 5220/3250 is
GCF of Numerators i.e. for 9212,5220 is 4
LCM of denominators i.e. for 609,3250 is 1979250.
Thus, GCF of Fractions is 4/1979250.Finally, GCF of Fractions for 9212/609, 5220/3250 is 4/1979250.