GCF of 141/960, 2127/840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/960, 2127/840 i.e 3/6720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/960, 2127/840.
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 141/960,2127/840?
Given fractions are 141/960,2127/840
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 141/960,2127/840, numerators are 141,2127
Denominators are 960,840
The GCF of 141,2127 is 3 .
LCM of 960,840 is 6720.
The greatest common factor of 141/960,2127/840 = [GCF of 141,2127]/[LCM of 960,840]= 3/6720
Therefore, the GCF of 141/960,2127/840 is 3/6720.
To find the highest common factor of 141,2127, 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 2127 are 1, 3, 709, 2127
The HCF of 141,2127 is 3.
Lets's calculate GCF of 141,2127
| 3 | 141, 2127 |
| 47, 709 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 141,2127 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 2127
:1,3,709,2127
Greatest Common Factor
We found the factors 141,2127 . The biggest common factor number is the GCF number.
So the greatest common factor 141,2127 is 3.
Lets's calculate LCM of 960,840
| 2 | 960, 840 |
| 2 | 480, 420 |
| 2 | 240, 210 |
| 3 | 120, 105 |
| 5 | 40, 35 |
| 8, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 8 x 7 = 6720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6720
Therefore, the GCF of Fractions 141/960,2127/840 is 3/6720
Least Common Multiple of 960,840 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 960,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,840) = 120
common factors(in case of two or more numbers have common factors) = 1
GCF(960,840) x common factors =120 x 1 = 120
LCM(960,840) = ( 960 × 840 ) / 120
LCM(960,840) = 806400 / 120
LCM(960,840) = 6720
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FAQs on GCF of Fractions of 141/960, 2127/840
1. What is the HCF of 141,2127?
The HCF of 141,2127 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 141/960, 2127/840?
Answer: GCF of Numerators as per given numbers 141/960, 2127/840 is
GCF of Numerators i.e. for 141,2127 is 3
LCM of denominators i.e. for 960,840 is 6720.
Thus, GCF of Fractions is 3/6720.Finally, GCF of Fractions for 141/960, 2127/840 is 3/6720.