GCF of 71/78, 903/87, 749/816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 71/78, 903/87, 749/816 i.e 1/307632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/78, 903/87, 749/816.
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 71/78,903/87,749/816?
Given fractions are 71/78,903/87,749/816
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 71/78,903/87,749/816, numerators are 71,903,749
Denominators are 78,87,816
The GCF of 71,903,749 is 1 .
LCM of 78,87,816 is 307632.
The greatest common factor of 71/78,903/87,749/816 = [GCF of 71,903,749]/[LCM of 78,87,816]= 1/307632
Therefore, the GCF of 71/78,903/87,749/816 is 1/307632.
To find the highest common factor of 71,903,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The factors of 749 are 1, 7, 107, 749
The HCF of 71,903,749 is 1.
Lets's calculate GCF of 71,903,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 71,903,749 By Matching Biggest Common Factor Method
Now, list down the factors of 71
:1,71
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 71,903,749 . The biggest common factor number is the GCF number.
So the greatest common factor 71,903,749 is 1.
Lets's calculate LCM of 78,87,816
| 2 | 78, 87, 816 |
| 3 | 39, 87, 408 |
| 13, 29, 136 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 29 x 136 = 307632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307632
Therefore, the GCF of Fractions 71/78,903/87,749/816 is 1/307632
Least Common Multiple of 78,87,816 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 78,87,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,87,816) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(78,87,816) x common factors =3 x 6 = 18
LCM(78,87,816) = ( 78 × 87 × 816 ) / 18
LCM(78,87,816) = 5537376 / 18
LCM(78,87,816) = 307632
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 71/78, 903/87, 749/816
1. What is the HCF of 71,903,749?
The HCF of 71,903,749 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 71/78, 903/87, 749/816?
Answer: GCF of Numerators as per given numbers 71/78, 903/87, 749/816 is
GCF of Numerators i.e. for 71,903,749 is 1
LCM of denominators i.e. for 78,87,816 is 307632.
Thus, GCF of Fractions is 1/307632.Finally, GCF of Fractions for 71/78, 903/87, 749/816 is 1/307632.