GCF of 9375/752, 1800/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9375/752, 1800/270 i.e 75/101520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9375/752, 1800/270.
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 9375/752,1800/270?
Given fractions are 9375/752,1800/270
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 9375/752,1800/270, numerators are 9375,1800
Denominators are 752,270
The GCF of 9375,1800 is 75 .
LCM of 752,270 is 101520.
The greatest common factor of 9375/752,1800/270 = [GCF of 9375,1800]/[LCM of 752,270]= 75/101520
Therefore, the GCF of 9375/752,1800/270 is 75/101520.
To find the highest common factor of 9375,1800, we have to find the factors of both numbers and list the highest common factor.
The factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375
The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800
The HCF of 9375,1800 is 75.
Lets's calculate GCF of 9375,1800
| 3 | 9375, 1800 |
| 5 | 3125, 600 |
| 5 | 625, 120 |
| 125, 24 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 9375,1800 By Matching Biggest Common Factor Method
Now, list down the factors of 9375
:1,3,5,15,25,75,125,375,625,1875,3125,9375
Now, list down the factors of 1800
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800
Greatest Common Factor
We found the factors 9375,1800 . The biggest common factor number is the GCF number.
So the greatest common factor 9375,1800 is 75.
Lets's calculate LCM of 752,270
| 2 | 752, 270 |
| 376, 135 |
∴ So the LCM of the given numbers is 2 x 376 x 135 = 101520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/101520
Therefore, the GCF of Fractions 9375/752,1800/270 is 75/101520
Least Common Multiple of 752,270 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 752,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,270) x common factors =2 x 1 = 2
LCM(752,270) = ( 752 × 270 ) / 2
LCM(752,270) = 203040 / 2
LCM(752,270) = 101520
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FAQs on GCF of Fractions of 9375/752, 1800/270
1. What is the HCF of 9375,1800?
The HCF of 9375,1800 is 75
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 9375/752, 1800/270?
Answer: GCF of Numerators as per given numbers 9375/752, 1800/270 is
GCF of Numerators i.e. for 9375,1800 is 75
LCM of denominators i.e. for 752,270 is 101520.
Thus, GCF of Fractions is 75/101520.Finally, GCF of Fractions for 9375/752, 1800/270 is 75/101520.