GCF of 1/24, 85/96, 38/694, 269/543
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1/24, 85/96, 38/694, 269/543 i.e 1/6029472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/24, 85/96, 38/694, 269/543.
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 1/24,85/96,38/694,269/543?
Given fractions are 1/24,85/96,38/694,269/543
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 1/24,85/96,38/694,269/543, numerators are 1,85,38,269
Denominators are 24,96,694,543
The GCF of 1,85,38,269 is 1 .
LCM of 24,96,694,543 is 6029472.
The greatest common factor of 1/24,85/96,38/694,269/543 = [GCF of 1,85,38,269]/[LCM of 24,96,694,543]= 1/6029472
Therefore, the GCF of 1/24,85/96,38/694,269/543 is 1/6029472.
To find the highest common factor of 1,85,38,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 85 are 1, 5, 17, 85
The factors of 38 are 1, 2, 19, 38
The factors of 269 are 1, 269
The HCF of 1,85,38,269 is 1.
Lets's calculate GCF of 1,85,38,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1,85,38,269 By Matching Biggest Common Factor Method
Now, list down the factors of 1
:1
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 1,85,38,269 . The biggest common factor number is the GCF number.
So the greatest common factor 1,85,38,269 is 1.
Lets's calculate LCM of 24,96,694,543
| 2 | 24, 96, 694, 543 |
| 2 | 12, 48, 347, 543 |
| 2 | 6, 24, 347, 543 |
| 3 | 3, 12, 347, 543 |
| 1, 4, 347, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 4 x 347 x 181 = 6029472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6029472
Therefore, the GCF of Fractions 1/24,85/96,38/694,269/543 is 1/6029472
Least Common Multiple of 24,96,694,543 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 24,96,694,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,96,694,543) = 1
common factors(in case of two or more numbers have common factors) = 144
GCF(24,96,694,543) x common factors =1 x 144 = 144
LCM(24,96,694,543) = ( 24 × 96 × 694 × 543 ) / 144
LCM(24,96,694,543) = 868243968 / 144
LCM(24,96,694,543) = 6029472
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1/24, 85/96, 38/694, 269/543
1. What is the HCF of 1,85,38,269?
The HCF of 1,85,38,269 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 1/24, 85/96, 38/694, 269/543?
Answer: GCF of Numerators as per given numbers 1/24, 85/96, 38/694, 269/543 is
GCF of Numerators i.e. for 1,85,38,269 is 1
LCM of denominators i.e. for 24,96,694,543 is 6029472.
Thus, GCF of Fractions is 1/6029472.Finally, GCF of Fractions for 1/24, 85/96, 38/694, 269/543 is 1/6029472.