GCF of 141/714, 828/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/714, 828/320 i.e 3/114240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/714, 828/320.
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 141/714,828/320?
Given fractions are 141/714,828/320
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 141/714,828/320, numerators are 141,828
Denominators are 714,320
The GCF of 141,828 is 3 .
LCM of 714,320 is 114240.
The greatest common factor of 141/714,828/320 = [GCF of 141,828]/[LCM of 714,320]= 3/114240
Therefore, the GCF of 141/714,828/320 is 3/114240.
To find the highest common factor of 141,828, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The HCF of 141,828 is 3.
Lets's calculate GCF of 141,828
| 3 | 141, 828 |
| 47, 276 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 141,828 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 141,828 . The biggest common factor number is the GCF number.
So the greatest common factor 141,828 is 3.
Lets's calculate LCM of 714,320
| 2 | 714, 320 |
| 357, 160 |
∴ So the LCM of the given numbers is 2 x 357 x 160 = 114240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/114240
Therefore, the GCF of Fractions 141/714,828/320 is 3/114240
Least Common Multiple of 714,320 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 714,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,320) x common factors =2 x 1 = 2
LCM(714,320) = ( 714 × 320 ) / 2
LCM(714,320) = 228480 / 2
LCM(714,320) = 114240
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 141/714, 828/320
1. What is the HCF of 141,828?
The HCF of 141,828 is 3
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 141/714, 828/320?
Answer: GCF of Numerators as per given numbers 141/714, 828/320 is
GCF of Numerators i.e. for 141,828 is 3
LCM of denominators i.e. for 714,320 is 114240.
Thus, GCF of Fractions is 3/114240.Finally, GCF of Fractions for 141/714, 828/320 is 3/114240.