GCF of 212/811, 9152/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 212/811, 9152/274 i.e 4/222214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 212/811, 9152/274.
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 212/811,9152/274?
Given fractions are 212/811,9152/274
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 212/811,9152/274, numerators are 212,9152
Denominators are 811,274
The GCF of 212,9152 is 4 .
LCM of 811,274 is 222214.
The greatest common factor of 212/811,9152/274 = [GCF of 212,9152]/[LCM of 811,274]= 4/222214
Therefore, the GCF of 212/811,9152/274 is 4/222214.
To find the highest common factor of 212,9152, we have to find the factors of both numbers and list the highest common factor.
The factors of 212 are 1, 2, 4, 53, 106, 212
The factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152
The HCF of 212,9152 is 4.
Lets's calculate GCF of 212,9152
| 2 | 212, 9152 |
| 2 | 106, 4576 |
| 53, 2288 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 212,9152 By Matching Biggest Common Factor Method
Now, list down the factors of 212
:1,2,4,53,106,212
Now, list down the factors of 9152
:1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152
Greatest Common Factor
We found the factors 212,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 212,9152 is 4.
Lets's calculate LCM of 811,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 222214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/222214
Therefore, the GCF of Fractions 212/811,9152/274 is 4/222214
Least Common Multiple of 811,274 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 811,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,274) x common factors =1 x 1 = 1
LCM(811,274) = ( 811 × 274 ) / 1
LCM(811,274) = 222214 / 1
LCM(811,274) = 222214
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FAQs on GCF of Fractions of 212/811, 9152/274
1. What is the HCF of 212,9152?
The HCF of 212,9152 is 4
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 212/811, 9152/274?
Answer: GCF of Numerators as per given numbers 212/811, 9152/274 is
GCF of Numerators i.e. for 212,9152 is 4
LCM of denominators i.e. for 811,274 is 222214.
Thus, GCF of Fractions is 4/222214.Finally, GCF of Fractions for 212/811, 9152/274 is 4/222214.