GCF of 13/71, 477/70, 311/213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/71, 477/70, 311/213 i.e 1/14910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/71, 477/70, 311/213.
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 13/71,477/70,311/213?
Given fractions are 13/71,477/70,311/213
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 13/71,477/70,311/213, numerators are 13,477,311
Denominators are 71,70,213
The GCF of 13,477,311 is 1 .
LCM of 71,70,213 is 14910.
The greatest common factor of 13/71,477/70,311/213 = [GCF of 13,477,311]/[LCM of 71,70,213]= 1/14910
Therefore, the GCF of 13/71,477/70,311/213 is 1/14910.
To find the highest common factor of 13,477,311, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 477 are 1, 3, 9, 53, 159, 477
The factors of 311 are 1, 311
The HCF of 13,477,311 is 1.
Lets's calculate GCF of 13,477,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 13,477,311 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 477
:1,3,9,53,159,477
Now, list down the factors of 311
:1,311
Greatest Common Factor
We found the factors 13,477,311 . The biggest common factor number is the GCF number.
So the greatest common factor 13,477,311 is 1.
Lets's calculate LCM of 71,70,213
| 71 | 71, 70, 213 |
| 1, 70, 3 |
∴ So the LCM of the given numbers is 71 x 1 x 70 x 3 = 14910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14910
Therefore, the GCF of Fractions 13/71,477/70,311/213 is 1/14910
Least Common Multiple of 71,70,213 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 71,70,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,70,213) = 1
common factors(in case of two or more numbers have common factors) = 71
GCF(71,70,213) x common factors =1 x 71 = 71
LCM(71,70,213) = ( 71 × 70 × 213 ) / 71
LCM(71,70,213) = 1058610 / 71
LCM(71,70,213) = 14910
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FAQs on GCF of Fractions of 13/71, 477/70, 311/213
1. What is the HCF of 13,477,311?
The HCF of 13,477,311 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 13/71, 477/70, 311/213?
Answer: GCF of Numerators as per given numbers 13/71, 477/70, 311/213 is
GCF of Numerators i.e. for 13,477,311 is 1
LCM of denominators i.e. for 71,70,213 is 14910.
Thus, GCF of Fractions is 1/14910.Finally, GCF of Fractions for 13/71, 477/70, 311/213 is 1/14910.