GCF of 9255/267, 1740/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9255/267, 1740/222 i.e 15/19758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9255/267, 1740/222.
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 9255/267,1740/222?
Given fractions are 9255/267,1740/222
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 9255/267,1740/222, numerators are 9255,1740
Denominators are 267,222
The GCF of 9255,1740 is 15 .
LCM of 267,222 is 19758.
The greatest common factor of 9255/267,1740/222 = [GCF of 9255,1740]/[LCM of 267,222]= 15/19758
Therefore, the GCF of 9255/267,1740/222 is 15/19758.
To find the highest common factor of 9255,1740, we have to find the factors of both numbers and list the highest common factor.
The factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255
The factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740
The HCF of 9255,1740 is 15.
Lets's calculate GCF of 9255,1740
| 3 | 9255, 1740 |
| 5 | 3085, 580 |
| 617, 116 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9255,1740 By Matching Biggest Common Factor Method
Now, list down the factors of 9255
:1,3,5,15,617,1851,3085,9255
Now, list down the factors of 1740
:1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740
Greatest Common Factor
We found the factors 9255,1740 . The biggest common factor number is the GCF number.
So the greatest common factor 9255,1740 is 15.
Lets's calculate LCM of 267,222
| 3 | 267, 222 |
| 89, 74 |
∴ So the LCM of the given numbers is 3 x 89 x 74 = 19758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/19758
Therefore, the GCF of Fractions 9255/267,1740/222 is 15/19758
Least Common Multiple of 267,222 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 267,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,222) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,222) x common factors =3 x 1 = 3
LCM(267,222) = ( 267 × 222 ) / 3
LCM(267,222) = 59274 / 3
LCM(267,222) = 19758
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FAQs on GCF of Fractions of 9255/267, 1740/222
1. What is the HCF of 9255,1740?
The HCF of 9255,1740 is 15
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 9255/267, 1740/222?
Answer: GCF of Numerators as per given numbers 9255/267, 1740/222 is
GCF of Numerators i.e. for 9255,1740 is 15
LCM of denominators i.e. for 267,222 is 19758.
Thus, GCF of Fractions is 15/19758.Finally, GCF of Fractions for 9255/267, 1740/222 is 15/19758.