GCF of 53/54, 307/96, 419/736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 53/54, 307/96, 419/736 i.e 1/19872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 53/54, 307/96, 419/736.
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 53/54,307/96,419/736?
Given fractions are 53/54,307/96,419/736
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 53/54,307/96,419/736, numerators are 53,307,419
Denominators are 54,96,736
The GCF of 53,307,419 is 1 .
LCM of 54,96,736 is 19872.
The greatest common factor of 53/54,307/96,419/736 = [GCF of 53,307,419]/[LCM of 54,96,736]= 1/19872
Therefore, the GCF of 53/54,307/96,419/736 is 1/19872.
To find the highest common factor of 53,307,419, we have to find the factors of both numbers and list the highest common factor.
The factors of 53 are 1, 53
The factors of 307 are 1, 307
The factors of 419 are 1, 419
The HCF of 53,307,419 is 1.
Lets's calculate GCF of 53,307,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 53,307,419 By Matching Biggest Common Factor Method
Now, list down the factors of 53
:1,53
Now, list down the factors of 307
:1,307
Now, list down the factors of 419
:1,419
Greatest Common Factor
We found the factors 53,307,419 . The biggest common factor number is the GCF number.
So the greatest common factor 53,307,419 is 1.
Lets's calculate LCM of 54,96,736
| 2 | 54, 96, 736 |
| 2 | 27, 48, 368 |
| 2 | 27, 24, 184 |
| 2 | 27, 12, 92 |
| 2 | 27, 6, 46 |
| 3 | 27, 3, 23 |
| 9, 1, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 9 x 1 x 23 = 19872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19872
Therefore, the GCF of Fractions 53/54,307/96,419/736 is 1/19872
Least Common Multiple of 54,96,736 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 54,96,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,96,736) = 2
common factors(in case of two or more numbers have common factors) = 96
GCF(54,96,736) x common factors =2 x 96 = 192
LCM(54,96,736) = ( 54 × 96 × 736 ) / 192
LCM(54,96,736) = 3815424 / 192
LCM(54,96,736) = 19872
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FAQs on GCF of Fractions of 53/54, 307/96, 419/736
1. What is the HCF of 53,307,419?
The HCF of 53,307,419 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 53/54, 307/96, 419/736?
Answer: GCF of Numerators as per given numbers 53/54, 307/96, 419/736 is
GCF of Numerators i.e. for 53,307,419 is 1
LCM of denominators i.e. for 54,96,736 is 19872.
Thus, GCF of Fractions is 1/19872.Finally, GCF of Fractions for 53/54, 307/96, 419/736 is 1/19872.