GCF of 9270/526, 5100/7244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9270/526, 5100/7244 i.e 30/1905172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9270/526, 5100/7244.
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 9270/526,5100/7244?
Given fractions are 9270/526,5100/7244
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 9270/526,5100/7244, numerators are 9270,5100
Denominators are 526,7244
The GCF of 9270,5100 is 30 .
LCM of 526,7244 is 1905172.
The greatest common factor of 9270/526,5100/7244 = [GCF of 9270,5100]/[LCM of 526,7244]= 30/1905172
Therefore, the GCF of 9270/526,5100/7244 is 30/1905172.
To find the highest common factor of 9270,5100, we have to find the factors of both numbers and list the highest common factor.
The factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270
The factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100
The HCF of 9270,5100 is 30.
Lets's calculate GCF of 9270,5100
| 2 | 9270, 5100 |
| 3 | 4635, 2550 |
| 5 | 1545, 850 |
| 309, 170 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 9270,5100 By Matching Biggest Common Factor Method
Now, list down the factors of 9270
:1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270
Now, list down the factors of 5100
:1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100
Greatest Common Factor
We found the factors 9270,5100 . The biggest common factor number is the GCF number.
So the greatest common factor 9270,5100 is 30.
Lets's calculate LCM of 526,7244
| 2 | 526, 7244 |
| 263, 3622 |
∴ So the LCM of the given numbers is 2 x 263 x 3622 = 1905172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1905172
Therefore, the GCF of Fractions 9270/526,5100/7244 is 30/1905172
Least Common Multiple of 526,7244 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 526,7244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,7244) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,7244) x common factors =2 x 1 = 2
LCM(526,7244) = ( 526 × 7244 ) / 2
LCM(526,7244) = 3810344 / 2
LCM(526,7244) = 1905172
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9270/526, 5100/7244
1. What is the HCF of 9270,5100?
The HCF of 9270,5100 is 30
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 9270/526, 5100/7244?
Answer: GCF of Numerators as per given numbers 9270/526, 5100/7244 is
GCF of Numerators i.e. for 9270,5100 is 30
LCM of denominators i.e. for 526,7244 is 1905172.
Thus, GCF of Fractions is 30/1905172.Finally, GCF of Fractions for 9270/526, 5100/7244 is 30/1905172.