GCF of 7059/148, 9493/878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7059/148, 9493/878 i.e 1/64972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7059/148, 9493/878.
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 7059/148,9493/878?
Given fractions are 7059/148,9493/878
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 7059/148,9493/878, numerators are 7059,9493
Denominators are 148,878
The GCF of 7059,9493 is 1 .
LCM of 148,878 is 64972.
The greatest common factor of 7059/148,9493/878 = [GCF of 7059,9493]/[LCM of 148,878]= 1/64972
Therefore, the GCF of 7059/148,9493/878 is 1/64972.
To find the highest common factor of 7059,9493, we have to find the factors of both numbers and list the highest common factor.
The factors of 7059 are 1, 3, 13, 39, 181, 543, 2353, 7059
The factors of 9493 are 1, 11, 863, 9493
The HCF of 7059,9493 is 1.
Lets's calculate GCF of 7059,9493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7059,9493 By Matching Biggest Common Factor Method
Now, list down the factors of 7059
:1,3,13,39,181,543,2353,7059
Now, list down the factors of 9493
:1,11,863,9493
Greatest Common Factor
We found the factors 7059,9493 . The biggest common factor number is the GCF number.
So the greatest common factor 7059,9493 is 1.
Lets's calculate LCM of 148,878
| 2 | 148, 878 |
| 74, 439 |
∴ So the LCM of the given numbers is 2 x 74 x 439 = 64972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64972
Therefore, the GCF of Fractions 7059/148,9493/878 is 1/64972
Least Common Multiple of 148,878 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 148,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(148,878) x common factors =2 x 1 = 2
LCM(148,878) = ( 148 × 878 ) / 2
LCM(148,878) = 129944 / 2
LCM(148,878) = 64972
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7059/148, 9493/878
1. What is the HCF of 7059,9493?
The HCF of 7059,9493 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 7059/148, 9493/878?
Answer: GCF of Numerators as per given numbers 7059/148, 9493/878 is
GCF of Numerators i.e. for 7059,9493 is 1
LCM of denominators i.e. for 148,878 is 64972.
Thus, GCF of Fractions is 1/64972.Finally, GCF of Fractions for 7059/148, 9493/878 is 1/64972.