GCF of 34/16, 217/53, 936/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/16, 217/53, 936/476 i.e 1/100912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/16, 217/53, 936/476.
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 34/16,217/53,936/476?
Given fractions are 34/16,217/53,936/476
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 34/16,217/53,936/476, numerators are 34,217,936
Denominators are 16,53,476
The GCF of 34,217,936 is 1 .
LCM of 16,53,476 is 100912.
The greatest common factor of 34/16,217/53,936/476 = [GCF of 34,217,936]/[LCM of 16,53,476]= 1/100912
Therefore, the GCF of 34/16,217/53,936/476 is 1/100912.
To find the highest common factor of 34,217,936, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 217 are 1, 7, 31, 217
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 34,217,936 is 1.
Lets's calculate GCF of 34,217,936
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,217,936 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 217
:1,7,31,217
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 34,217,936 . The biggest common factor number is the GCF number.
So the greatest common factor 34,217,936 is 1.
Lets's calculate LCM of 16,53,476
| 2 | 16, 53, 476 |
| 2 | 8, 53, 238 |
| 4, 53, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 53 x 119 = 100912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100912
Therefore, the GCF of Fractions 34/16,217/53,936/476 is 1/100912
Least Common Multiple of 16,53,476 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 16,53,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,53,476) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(16,53,476) x common factors =1 x 4 = 4
LCM(16,53,476) = ( 16 × 53 × 476 ) / 4
LCM(16,53,476) = 403648 / 4
LCM(16,53,476) = 100912
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FAQs on GCF of Fractions of 34/16, 217/53, 936/476
1. What is the HCF of 34,217,936?
The HCF of 34,217,936 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 34/16, 217/53, 936/476?
Answer: GCF of Numerators as per given numbers 34/16, 217/53, 936/476 is
GCF of Numerators i.e. for 34,217,936 is 1
LCM of denominators i.e. for 16,53,476 is 100912.
Thus, GCF of Fractions is 1/100912.Finally, GCF of Fractions for 34/16, 217/53, 936/476 is 1/100912.