GCF of 1334/226, 8122/6974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1334/226, 8122/6974 i.e 2/788062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1334/226, 8122/6974.
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 1334/226,8122/6974?
Given fractions are 1334/226,8122/6974
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 1334/226,8122/6974, numerators are 1334,8122
Denominators are 226,6974
The GCF of 1334,8122 is 2 .
LCM of 226,6974 is 788062.
The greatest common factor of 1334/226,8122/6974 = [GCF of 1334,8122]/[LCM of 226,6974]= 2/788062
Therefore, the GCF of 1334/226,8122/6974 is 2/788062.
To find the highest common factor of 1334,8122, 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 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122
The HCF of 1334,8122 is 2.
Lets's calculate GCF of 1334,8122
| 2 | 1334, 8122 |
| 667, 4061 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1334,8122 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 8122
:1,2,31,62,131,262,4061,8122
Greatest Common Factor
We found the factors 1334,8122 . The biggest common factor number is the GCF number.
So the greatest common factor 1334,8122 is 2.
Lets's calculate LCM of 226,6974
| 2 | 226, 6974 |
| 113, 3487 |
∴ So the LCM of the given numbers is 2 x 113 x 3487 = 788062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/788062
Therefore, the GCF of Fractions 1334/226,8122/6974 is 2/788062
Least Common Multiple of 226,6974 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 226,6974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,6974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,6974) x common factors =2 x 1 = 2
LCM(226,6974) = ( 226 × 6974 ) / 2
LCM(226,6974) = 1576124 / 2
LCM(226,6974) = 788062
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1334/226, 8122/6974
1. What is the HCF of 1334,8122?
The HCF of 1334,8122 is 2
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 1334/226, 8122/6974?
Answer: GCF of Numerators as per given numbers 1334/226, 8122/6974 is
GCF of Numerators i.e. for 1334,8122 is 2
LCM of denominators i.e. for 226,6974 is 788062.
Thus, GCF of Fractions is 2/788062.Finally, GCF of Fractions for 1334/226, 8122/6974 is 2/788062.