GCF of 1494/175, 7415/853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1494/175, 7415/853 i.e 1/149275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1494/175, 7415/853.
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 1494/175,7415/853?
Given fractions are 1494/175,7415/853
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 1494/175,7415/853, numerators are 1494,7415
Denominators are 175,853
The GCF of 1494,7415 is 1 .
LCM of 175,853 is 149275.
The greatest common factor of 1494/175,7415/853 = [GCF of 1494,7415]/[LCM of 175,853]= 1/149275
Therefore, the GCF of 1494/175,7415/853 is 1/149275.
To find the highest common factor of 1494,7415, we have to find the factors of both numbers and list the highest common factor.
The factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494
The factors of 7415 are 1, 5, 1483, 7415
The HCF of 1494,7415 is 1.
Lets's calculate GCF of 1494,7415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1494,7415 By Matching Biggest Common Factor Method
Now, list down the factors of 1494
:1,2,3,6,9,18,83,166,249,498,747,1494
Now, list down the factors of 7415
:1,5,1483,7415
Greatest Common Factor
We found the factors 1494,7415 . The biggest common factor number is the GCF number.
So the greatest common factor 1494,7415 is 1.
Lets's calculate LCM of 175,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 149275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149275
Therefore, the GCF of Fractions 1494/175,7415/853 is 1/149275
Least Common Multiple of 175,853 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 175,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,853) x common factors =1 x 1 = 1
LCM(175,853) = ( 175 × 853 ) / 1
LCM(175,853) = 149275 / 1
LCM(175,853) = 149275
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1494/175, 7415/853
1. What is the HCF of 1494,7415?
The HCF of 1494,7415 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 1494/175, 7415/853?
Answer: GCF of Numerators as per given numbers 1494/175, 7415/853 is
GCF of Numerators i.e. for 1494,7415 is 1
LCM of denominators i.e. for 175,853 is 149275.
Thus, GCF of Fractions is 1/149275.Finally, GCF of Fractions for 1494/175, 7415/853 is 1/149275.