GCF of 3059/922, 7394/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3059/922, 7394/746 i.e 1/343906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3059/922, 7394/746.
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 3059/922,7394/746?
Given fractions are 3059/922,7394/746
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 3059/922,7394/746, numerators are 3059,7394
Denominators are 922,746
The GCF of 3059,7394 is 1 .
LCM of 922,746 is 343906.
The greatest common factor of 3059/922,7394/746 = [GCF of 3059,7394]/[LCM of 922,746]= 1/343906
Therefore, the GCF of 3059/922,7394/746 is 1/343906.
To find the highest common factor of 3059,7394, we have to find the factors of both numbers and list the highest common factor.
The factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059
The factors of 7394 are 1, 2, 3697, 7394
The HCF of 3059,7394 is 1.
Lets's calculate GCF of 3059,7394
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3059,7394 By Matching Biggest Common Factor Method
Now, list down the factors of 3059
:1,7,19,23,133,161,437,3059
Now, list down the factors of 7394
:1,2,3697,7394
Greatest Common Factor
We found the factors 3059,7394 . The biggest common factor number is the GCF number.
So the greatest common factor 3059,7394 is 1.
Lets's calculate LCM of 922,746
| 2 | 922, 746 |
| 461, 373 |
∴ So the LCM of the given numbers is 2 x 461 x 373 = 343906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343906
Therefore, the GCF of Fractions 3059/922,7394/746 is 1/343906
Least Common Multiple of 922,746 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 922,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,746) x common factors =2 x 1 = 2
LCM(922,746) = ( 922 × 746 ) / 2
LCM(922,746) = 687812 / 2
LCM(922,746) = 343906
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3059/922, 7394/746
1. What is the HCF of 3059,7394?
The HCF of 3059,7394 is 1
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 3059/922, 7394/746?
Answer: GCF of Numerators as per given numbers 3059/922, 7394/746 is
GCF of Numerators i.e. for 3059,7394 is 1
LCM of denominators i.e. for 922,746 is 343906.
Thus, GCF of Fractions is 1/343906.Finally, GCF of Fractions for 3059/922, 7394/746 is 1/343906.