GCF of 36/90, 45/52, 189/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/90, 45/52, 189/271 i.e 9/634140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/90, 45/52, 189/271.
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 36/90,45/52,189/271?
Given fractions are 36/90,45/52,189/271
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 36/90,45/52,189/271, numerators are 36,45,189
Denominators are 90,52,271
The GCF of 36,45,189 is 9 .
LCM of 90,52,271 is 634140.
The greatest common factor of 36/90,45/52,189/271 = [GCF of 36,45,189]/[LCM of 90,52,271]= 9/634140
Therefore, the GCF of 36/90,45/52,189/271 is 9/634140.
To find the highest common factor of 36,45,189, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The HCF of 36,45,189 is 9.
Lets's calculate GCF of 36,45,189
| 3 | 36, 45, 189 |
| 3 | 12, 15, 63 |
| 4, 5, 21 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 36,45,189 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 36,45,189 . The biggest common factor number is the GCF number.
So the greatest common factor 36,45,189 is 9.
Lets's calculate LCM of 90,52,271
| 2 | 90, 52, 271 |
| 45, 26, 271 |
∴ So the LCM of the given numbers is 2 x 45 x 26 x 271 = 634140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/634140
Therefore, the GCF of Fractions 36/90,45/52,189/271 is 9/634140
Least Common Multiple of 90,52,271 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 90,52,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,52,271) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(90,52,271) x common factors =1 x 2 = 2
LCM(90,52,271) = ( 90 × 52 × 271 ) / 2
LCM(90,52,271) = 1268280 / 2
LCM(90,52,271) = 634140
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FAQs on GCF of Fractions of 36/90, 45/52, 189/271
1. What is the HCF of 36,45,189?
The HCF of 36,45,189 is 9
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 36/90, 45/52, 189/271?
Answer: GCF of Numerators as per given numbers 36/90, 45/52, 189/271 is
GCF of Numerators i.e. for 36,45,189 is 9
LCM of denominators i.e. for 90,52,271 is 634140.
Thus, GCF of Fractions is 9/634140.Finally, GCF of Fractions for 36/90, 45/52, 189/271 is 9/634140.