GCF of 50/536, 72/224, 300/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 50/536, 72/224, 300/218 i.e 2/1635872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/536, 72/224, 300/218.
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 50/536,72/224,300/218?
Given fractions are 50/536,72/224,300/218
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 50/536,72/224,300/218, numerators are 50,72,300
Denominators are 536,224,218
The GCF of 50,72,300 is 2 .
LCM of 536,224,218 is 1635872.
The greatest common factor of 50/536,72/224,300/218 = [GCF of 50,72,300]/[LCM of 536,224,218]= 2/1635872
Therefore, the GCF of 50/536,72/224,300/218 is 2/1635872.
To find the highest common factor of 50,72,300, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The HCF of 50,72,300 is 2.
Lets's calculate GCF of 50,72,300
| 2 | 50, 72, 300 |
| 25, 36, 150 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 50,72,300 By Matching Biggest Common Factor Method
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 300
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 50,72,300 . The biggest common factor number is the GCF number.
So the greatest common factor 50,72,300 is 2.
Lets's calculate LCM of 536,224,218
| 2 | 536, 224, 218 |
| 2 | 268, 112, 109 |
| 2 | 134, 56, 109 |
| 67, 28, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 28 x 109 = 1635872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1635872
Therefore, the GCF of Fractions 50/536,72/224,300/218 is 2/1635872
Least Common Multiple of 536,224,218 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 536,224,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,224,218) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(536,224,218) x common factors =2 x 8 = 16
LCM(536,224,218) = ( 536 × 224 × 218 ) / 16
LCM(536,224,218) = 26173952 / 16
LCM(536,224,218) = 1635872
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FAQs on GCF of Fractions of 50/536, 72/224, 300/218
1. What is the HCF of 50,72,300?
The HCF of 50,72,300 is 2
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 50/536, 72/224, 300/218?
Answer: GCF of Numerators as per given numbers 50/536, 72/224, 300/218 is
GCF of Numerators i.e. for 50,72,300 is 2
LCM of denominators i.e. for 536,224,218 is 1635872.
Thus, GCF of Fractions is 2/1635872.Finally, GCF of Fractions for 50/536, 72/224, 300/218 is 2/1635872.