GCF of 7458/450, 8771/2135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7458/450, 8771/2135 i.e 1/192150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7458/450, 8771/2135.
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 7458/450,8771/2135?
Given fractions are 7458/450,8771/2135
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 7458/450,8771/2135, numerators are 7458,8771
Denominators are 450,2135
The GCF of 7458,8771 is 1 .
LCM of 450,2135 is 192150.
The greatest common factor of 7458/450,8771/2135 = [GCF of 7458,8771]/[LCM of 450,2135]= 1/192150
Therefore, the GCF of 7458/450,8771/2135 is 1/192150.
To find the highest common factor of 7458,8771, we have to find the factors of both numbers and list the highest common factor.
The factors of 7458 are 1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458
The factors of 8771 are 1, 7, 49, 179, 1253, 8771
The HCF of 7458,8771 is 1.
Lets's calculate GCF of 7458,8771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7458,8771 By Matching Biggest Common Factor Method
Now, list down the factors of 7458
:1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458
Now, list down the factors of 8771
:1,7,49,179,1253,8771
Greatest Common Factor
We found the factors 7458,8771 . The biggest common factor number is the GCF number.
So the greatest common factor 7458,8771 is 1.
Lets's calculate LCM of 450,2135
| 5 | 450, 2135 |
| 90, 427 |
∴ So the LCM of the given numbers is 5 x 90 x 427 = 192150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192150
Therefore, the GCF of Fractions 7458/450,8771/2135 is 1/192150
Least Common Multiple of 450,2135 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 450,2135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,2135) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(450,2135) x common factors =5 x 1 = 5
LCM(450,2135) = ( 450 × 2135 ) / 5
LCM(450,2135) = 960750 / 5
LCM(450,2135) = 192150
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7458/450, 8771/2135
1. What is the HCF of 7458,8771?
The HCF of 7458,8771 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 7458/450, 8771/2135?
Answer: GCF of Numerators as per given numbers 7458/450, 8771/2135 is
GCF of Numerators i.e. for 7458,8771 is 1
LCM of denominators i.e. for 450,2135 is 192150.
Thus, GCF of Fractions is 1/192150.Finally, GCF of Fractions for 7458/450, 8771/2135 is 1/192150.