GCF of 780/892, 143/272, 377/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 780/892, 143/272, 377/458 i.e 13/13890224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 780/892, 143/272, 377/458.
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 780/892,143/272,377/458?
Given fractions are 780/892,143/272,377/458
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 780/892,143/272,377/458, numerators are 780,143,377
Denominators are 892,272,458
The GCF of 780,143,377 is 13 .
LCM of 892,272,458 is 13890224.
The greatest common factor of 780/892,143/272,377/458 = [GCF of 780,143,377]/[LCM of 892,272,458]= 13/13890224
Therefore, the GCF of 780/892,143/272,377/458 is 13/13890224.
To find the highest common factor of 780,143,377, we have to find the factors of both numbers and list the highest common factor.
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The factors of 143 are 1, 11, 13, 143
The factors of 377 are 1, 13, 29, 377
The HCF of 780,143,377 is 13.
Lets's calculate GCF of 780,143,377
| 13 | 780, 143, 377 |
| 60, 11, 29 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 780,143,377 By Matching Biggest Common Factor Method
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Now, list down the factors of 143
:1,11,13,143
Now, list down the factors of 377
:1,13,29,377
Greatest Common Factor
We found the factors 780,143,377 . The biggest common factor number is the GCF number.
So the greatest common factor 780,143,377 is 13.
Lets's calculate LCM of 892,272,458
| 2 | 892, 272, 458 |
| 2 | 446, 136, 229 |
| 223, 68, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 68 x 229 = 13890224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/13890224
Therefore, the GCF of Fractions 780/892,143/272,377/458 is 13/13890224
Least Common Multiple of 892,272,458 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 892,272,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,272,458) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(892,272,458) x common factors =2 x 4 = 8
LCM(892,272,458) = ( 892 × 272 × 458 ) / 8
LCM(892,272,458) = 111121792 / 8
LCM(892,272,458) = 13890224
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 780/892, 143/272, 377/458
1. What is the HCF of 780,143,377?
The HCF of 780,143,377 is 13
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 780/892, 143/272, 377/458?
Answer: GCF of Numerators as per given numbers 780/892, 143/272, 377/458 is
GCF of Numerators i.e. for 780,143,377 is 13
LCM of denominators i.e. for 892,272,458 is 13890224.
Thus, GCF of Fractions is 13/13890224.Finally, GCF of Fractions for 780/892, 143/272, 377/458 is 13/13890224.