GCF of 11/50, 53/18, 309/837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/50, 53/18, 309/837 i.e 1/41850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/50, 53/18, 309/837.
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 11/50,53/18,309/837?
Given fractions are 11/50,53/18,309/837
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 11/50,53/18,309/837, numerators are 11,53,309
Denominators are 50,18,837
The GCF of 11,53,309 is 1 .
LCM of 50,18,837 is 41850.
The greatest common factor of 11/50,53/18,309/837 = [GCF of 11,53,309]/[LCM of 50,18,837]= 1/41850
Therefore, the GCF of 11/50,53/18,309/837 is 1/41850.
To find the highest common factor of 11,53,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 53 are 1, 53
The factors of 309 are 1, 3, 103, 309
The HCF of 11,53,309 is 1.
Lets's calculate GCF of 11,53,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,53,309 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 53
:1,53
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 11,53,309 . The biggest common factor number is the GCF number.
So the greatest common factor 11,53,309 is 1.
Lets's calculate LCM of 50,18,837
| 2 | 50, 18, 837 |
| 3 | 25, 9, 837 |
| 3 | 25, 3, 279 |
| 25, 1, 93 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 1 x 93 = 41850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41850
Therefore, the GCF of Fractions 11/50,53/18,309/837 is 1/41850
Least Common Multiple of 50,18,837 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 50,18,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,18,837) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(50,18,837) x common factors =1 x 18 = 18
LCM(50,18,837) = ( 50 × 18 × 837 ) / 18
LCM(50,18,837) = 753300 / 18
LCM(50,18,837) = 41850
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FAQs on GCF of Fractions of 11/50, 53/18, 309/837
1. What is the HCF of 11,53,309?
The HCF of 11,53,309 is 1
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 11/50, 53/18, 309/837?
Answer: GCF of Numerators as per given numbers 11/50, 53/18, 309/837 is
GCF of Numerators i.e. for 11,53,309 is 1
LCM of denominators i.e. for 50,18,837 is 41850.
Thus, GCF of Fractions is 1/41850.Finally, GCF of Fractions for 11/50, 53/18, 309/837 is 1/41850.