GCF of 3/14, 96/57, 98/828, 491/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/14, 96/57, 98/828, 491/540 i.e 1/1651860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/14, 96/57, 98/828, 491/540.
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 3/14,96/57,98/828,491/540?
Given fractions are 3/14,96/57,98/828,491/540
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 3/14,96/57,98/828,491/540, numerators are 3,96,98,491
Denominators are 14,57,828,540
The GCF of 3,96,98,491 is 1 .
LCM of 14,57,828,540 is 1651860.
The greatest common factor of 3/14,96/57,98/828,491/540 = [GCF of 3,96,98,491]/[LCM of 14,57,828,540]= 1/1651860
Therefore, the GCF of 3/14,96/57,98/828,491/540 is 1/1651860.
To find the highest common factor of 3,96,98,491, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 491 are 1, 491
The HCF of 3,96,98,491 is 1.
Lets's calculate GCF of 3,96,98,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3,96,98,491 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 491
:1,491
Greatest Common Factor
We found the factors 3,96,98,491 . The biggest common factor number is the GCF number.
So the greatest common factor 3,96,98,491 is 1.
Lets's calculate LCM of 14,57,828,540
| 2 | 14, 57, 828, 540 |
| 2 | 7, 57, 414, 270 |
| 3 | 7, 57, 207, 135 |
| 3 | 7, 19, 69, 45 |
| 7, 19, 23, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 19 x 23 x 15 = 1651860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1651860
Therefore, the GCF of Fractions 3/14,96/57,98/828,491/540 is 1/1651860
Least Common Multiple of 14,57,828,540 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 14,57,828,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,57,828,540) = 1
common factors(in case of two or more numbers have common factors) = 216
GCF(14,57,828,540) x common factors =1 x 216 = 216
LCM(14,57,828,540) = ( 14 × 57 × 828 × 540 ) / 216
LCM(14,57,828,540) = 356801760 / 216
LCM(14,57,828,540) = 1651860
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3/14, 96/57, 98/828, 491/540
1. What is the HCF of 3,96,98,491?
The HCF of 3,96,98,491 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 3/14, 96/57, 98/828, 491/540?
Answer: GCF of Numerators as per given numbers 3/14, 96/57, 98/828, 491/540 is
GCF of Numerators i.e. for 3,96,98,491 is 1
LCM of denominators i.e. for 14,57,828,540 is 1651860.
Thus, GCF of Fractions is 1/1651860.Finally, GCF of Fractions for 3/14, 96/57, 98/828, 491/540 is 1/1651860.