GCF of 994/474, 675/357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/474, 675/357 i.e 1/56406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/474, 675/357.
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 994/474,675/357?
Given fractions are 994/474,675/357
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 994/474,675/357, numerators are 994,675
Denominators are 474,357
The GCF of 994,675 is 1 .
LCM of 474,357 is 56406.
The greatest common factor of 994/474,675/357 = [GCF of 994,675]/[LCM of 474,357]= 1/56406
Therefore, the GCF of 994/474,675/357 is 1/56406.
To find the highest common factor of 994,675, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The HCF of 994,675 is 1.
Lets's calculate GCF of 994,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 994,675 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 994,675 . The biggest common factor number is the GCF number.
So the greatest common factor 994,675 is 1.
Lets's calculate LCM of 474,357
| 3 | 474, 357 |
| 158, 119 |
∴ So the LCM of the given numbers is 3 x 158 x 119 = 56406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56406
Therefore, the GCF of Fractions 994/474,675/357 is 1/56406
Least Common Multiple of 474,357 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 474,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,357) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(474,357) x common factors =3 x 1 = 3
LCM(474,357) = ( 474 × 357 ) / 3
LCM(474,357) = 169218 / 3
LCM(474,357) = 56406
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 994/474, 675/357
1. What is the HCF of 994,675?
The HCF of 994,675 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 994/474, 675/357?
Answer: GCF of Numerators as per given numbers 994/474, 675/357 is
GCF of Numerators i.e. for 994,675 is 1
LCM of denominators i.e. for 474,357 is 56406.
Thus, GCF of Fractions is 1/56406.Finally, GCF of Fractions for 994/474, 675/357 is 1/56406.