GCF of 210/56, 936/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 210/56, 936/415 i.e 6/23240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/56, 936/415.
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 210/56,936/415?
Given fractions are 210/56,936/415
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 210/56,936/415, numerators are 210,936
Denominators are 56,415
The GCF of 210,936 is 6 .
LCM of 56,415 is 23240.
The greatest common factor of 210/56,936/415 = [GCF of 210,936]/[LCM of 56,415]= 6/23240
Therefore, the GCF of 210/56,936/415 is 6/23240.
To find the highest common factor of 210,936, we have to find the factors of both numbers and list the highest common factor.
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
The HCF of 210,936 is 6.
Lets's calculate GCF of 210,936
| 2 | 210, 936 |
| 3 | 105, 468 |
| 35, 156 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 210,936 By Matching Biggest Common Factor Method
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Now, list down the factors of 936
:1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 210,936 . The biggest common factor number is the GCF number.
So the greatest common factor 210,936 is 6.
Lets's calculate LCM of 56,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 23240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/23240
Therefore, the GCF of Fractions 210/56,936/415 is 6/23240
Least Common Multiple of 56,415 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 56,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,415) x common factors =1 x 1 = 1
LCM(56,415) = ( 56 × 415 ) / 1
LCM(56,415) = 23240 / 1
LCM(56,415) = 23240
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FAQs on GCF of Fractions of 210/56, 936/415
1. What is the HCF of 210,936?
The HCF of 210,936 is 6
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 210/56, 936/415?
Answer: GCF of Numerators as per given numbers 210/56, 936/415 is
GCF of Numerators i.e. for 210,936 is 6
LCM of denominators i.e. for 56,415 is 23240.
Thus, GCF of Fractions is 6/23240.Finally, GCF of Fractions for 210/56, 936/415 is 6/23240.