GCF of 50/136, 213/341, 412/838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 50/136, 213/341, 412/838 i.e 1/19431544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/136, 213/341, 412/838.
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 50/136,213/341,412/838?
Given fractions are 50/136,213/341,412/838
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 50/136,213/341,412/838, numerators are 50,213,412
Denominators are 136,341,838
The GCF of 50,213,412 is 1 .
LCM of 136,341,838 is 19431544.
The greatest common factor of 50/136,213/341,412/838 = [GCF of 50,213,412]/[LCM of 136,341,838]= 1/19431544
Therefore, the GCF of 50/136,213/341,412/838 is 1/19431544.
To find the highest common factor of 50,213,412, 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 213 are 1, 3, 71, 213
The factors of 412 are 1, 2, 4, 103, 206, 412
The HCF of 50,213,412 is 1.
Lets's calculate GCF of 50,213,412
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 50,213,412 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 213
:1,3,71,213
Now, list down the factors of 412
:1,2,4,103,206,412
Greatest Common Factor
We found the factors 50,213,412 . The biggest common factor number is the GCF number.
So the greatest common factor 50,213,412 is 1.
Lets's calculate LCM of 136,341,838
| 2 | 136, 341, 838 |
| 68, 341, 419 |
∴ So the LCM of the given numbers is 2 x 68 x 341 x 419 = 19431544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19431544
Therefore, the GCF of Fractions 50/136,213/341,412/838 is 1/19431544
Least Common Multiple of 136,341,838 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 136,341,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,341,838) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(136,341,838) x common factors =1 x 2 = 2
LCM(136,341,838) = ( 136 × 341 × 838 ) / 2
LCM(136,341,838) = 38863088 / 2
LCM(136,341,838) = 19431544
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FAQs on GCF of Fractions of 50/136, 213/341, 412/838
1. What is the HCF of 50,213,412?
The HCF of 50,213,412 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 50/136, 213/341, 412/838?
Answer: GCF of Numerators as per given numbers 50/136, 213/341, 412/838 is
GCF of Numerators i.e. for 50,213,412 is 1
LCM of denominators i.e. for 136,341,838 is 19431544.
Thus, GCF of Fractions is 1/19431544.Finally, GCF of Fractions for 50/136, 213/341, 412/838 is 1/19431544.