GCF of 294/979, 9493/346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 294/979, 9493/346 i.e 1/338734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/979, 9493/346.
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 294/979,9493/346?
Given fractions are 294/979,9493/346
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 294/979,9493/346, numerators are 294,9493
Denominators are 979,346
The GCF of 294,9493 is 1 .
LCM of 979,346 is 338734.
The greatest common factor of 294/979,9493/346 = [GCF of 294,9493]/[LCM of 979,346]= 1/338734
Therefore, the GCF of 294/979,9493/346 is 1/338734.
To find the highest common factor of 294,9493, we have to find the factors of both numbers and list the highest common factor.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The factors of 9493 are 1, 11, 863, 9493
The HCF of 294,9493 is 1.
Lets's calculate GCF of 294,9493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 294,9493 By Matching Biggest Common Factor Method
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Now, list down the factors of 9493
:1,11,863,9493
Greatest Common Factor
We found the factors 294,9493 . The biggest common factor number is the GCF number.
So the greatest common factor 294,9493 is 1.
Lets's calculate LCM of 979,346
Given numbers has no common factors except 1. So, there LCM is their product i.e 338734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/338734
Therefore, the GCF of Fractions 294/979,9493/346 is 1/338734
Least Common Multiple of 979,346 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 979,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,346) x common factors =1 x 1 = 1
LCM(979,346) = ( 979 × 346 ) / 1
LCM(979,346) = 338734 / 1
LCM(979,346) = 338734
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 294/979, 9493/346
1. What is the HCF of 294,9493?
The HCF of 294,9493 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 294/979, 9493/346?
Answer: GCF of Numerators as per given numbers 294/979, 9493/346 is
GCF of Numerators i.e. for 294,9493 is 1
LCM of denominators i.e. for 979,346 is 338734.
Thus, GCF of Fractions is 1/338734.Finally, GCF of Fractions for 294/979, 9493/346 is 1/338734.