GCF of 5035/412, 9300/2522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5035/412, 9300/2522 i.e 5/519532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5035/412, 9300/2522.
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 5035/412,9300/2522?
Given fractions are 5035/412,9300/2522
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 5035/412,9300/2522, numerators are 5035,9300
Denominators are 412,2522
The GCF of 5035,9300 is 5 .
LCM of 412,2522 is 519532.
The greatest common factor of 5035/412,9300/2522 = [GCF of 5035,9300]/[LCM of 412,2522]= 5/519532
Therefore, the GCF of 5035/412,9300/2522 is 5/519532.
To find the highest common factor of 5035,9300, we have to find the factors of both numbers and list the highest common factor.
The factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035
The factors of 9300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300
The HCF of 5035,9300 is 5.
Lets's calculate GCF of 5035,9300
| 5 | 5035, 9300 |
| 1007, 1860 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5035,9300 By Matching Biggest Common Factor Method
Now, list down the factors of 5035
:1,5,19,53,95,265,1007,5035
Now, list down the factors of 9300
:1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300
Greatest Common Factor
We found the factors 5035,9300 . The biggest common factor number is the GCF number.
So the greatest common factor 5035,9300 is 5.
Lets's calculate LCM of 412,2522
| 2 | 412, 2522 |
| 206, 1261 |
∴ So the LCM of the given numbers is 2 x 206 x 1261 = 519532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/519532
Therefore, the GCF of Fractions 5035/412,9300/2522 is 5/519532
Least Common Multiple of 412,2522 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 412,2522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,2522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(412,2522) x common factors =2 x 1 = 2
LCM(412,2522) = ( 412 × 2522 ) / 2
LCM(412,2522) = 1039064 / 2
LCM(412,2522) = 519532
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FAQs on GCF of Fractions of 5035/412, 9300/2522
1. What is the HCF of 5035,9300?
The HCF of 5035,9300 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 5035/412, 9300/2522?
Answer: GCF of Numerators as per given numbers 5035/412, 9300/2522 is
GCF of Numerators i.e. for 5035,9300 is 5
LCM of denominators i.e. for 412,2522 is 519532.
Thus, GCF of Fractions is 5/519532.Finally, GCF of Fractions for 5035/412, 9300/2522 is 5/519532.