GCF of 1334/677, 6380/2421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1334/677, 6380/2421 i.e 58/1639017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1334/677, 6380/2421.
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 1334/677,6380/2421?
Given fractions are 1334/677,6380/2421
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 1334/677,6380/2421, numerators are 1334,6380
Denominators are 677,2421
The GCF of 1334,6380 is 58 .
LCM of 677,2421 is 1639017.
The greatest common factor of 1334/677,6380/2421 = [GCF of 1334,6380]/[LCM of 677,2421]= 58/1639017
Therefore, the GCF of 1334/677,6380/2421 is 58/1639017.
To find the highest common factor of 1334,6380, we have to find the factors of both numbers and list the highest common factor.
The factors of 1334 are 1, 2, 23, 29, 46, 58, 667, 1334
The factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380
The HCF of 1334,6380 is 58.
Lets's calculate GCF of 1334,6380
| 2 | 1334, 6380 |
| 29 | 667, 3190 |
| 23, 110 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 1334,6380 By Matching Biggest Common Factor Method
Now, list down the factors of 1334
:1,2,23,29,46,58,667,1334
Now, list down the factors of 6380
:1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380
Greatest Common Factor
We found the factors 1334,6380 . The biggest common factor number is the GCF number.
So the greatest common factor 1334,6380 is 58.
Lets's calculate LCM of 677,2421
Given numbers has no common factors except 1. So, there LCM is their product i.e 1639017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/1639017
Therefore, the GCF of Fractions 1334/677,6380/2421 is 58/1639017
Least Common Multiple of 677,2421 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 677,2421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,2421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,2421) x common factors =1 x 1 = 1
LCM(677,2421) = ( 677 × 2421 ) / 1
LCM(677,2421) = 1639017 / 1
LCM(677,2421) = 1639017
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1334/677, 6380/2421
1. What is the HCF of 1334,6380?
The HCF of 1334,6380 is 58
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 1334/677, 6380/2421?
Answer: GCF of Numerators as per given numbers 1334/677, 6380/2421 is
GCF of Numerators i.e. for 1334,6380 is 58
LCM of denominators i.e. for 677,2421 is 1639017.
Thus, GCF of Fractions is 58/1639017.Finally, GCF of Fractions for 1334/677, 6380/2421 is 58/1639017.