GCF of 8178/172, 8705/4962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8178/172, 8705/4962 i.e 1/426732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8178/172, 8705/4962.
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 8178/172,8705/4962?
Given fractions are 8178/172,8705/4962
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 8178/172,8705/4962, numerators are 8178,8705
Denominators are 172,4962
The GCF of 8178,8705 is 1 .
LCM of 172,4962 is 426732.
The greatest common factor of 8178/172,8705/4962 = [GCF of 8178,8705]/[LCM of 172,4962]= 1/426732
Therefore, the GCF of 8178/172,8705/4962 is 1/426732.
To find the highest common factor of 8178,8705, we have to find the factors of both numbers and list the highest common factor.
The factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178
The factors of 8705 are 1, 5, 1741, 8705
The HCF of 8178,8705 is 1.
Lets's calculate GCF of 8178,8705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8178,8705 By Matching Biggest Common Factor Method
Now, list down the factors of 8178
:1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178
Now, list down the factors of 8705
:1,5,1741,8705
Greatest Common Factor
We found the factors 8178,8705 . The biggest common factor number is the GCF number.
So the greatest common factor 8178,8705 is 1.
Lets's calculate LCM of 172,4962
| 2 | 172, 4962 |
| 86, 2481 |
∴ So the LCM of the given numbers is 2 x 86 x 2481 = 426732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426732
Therefore, the GCF of Fractions 8178/172,8705/4962 is 1/426732
Least Common Multiple of 172,4962 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 172,4962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,4962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,4962) x common factors =2 x 1 = 2
LCM(172,4962) = ( 172 × 4962 ) / 2
LCM(172,4962) = 853464 / 2
LCM(172,4962) = 426732
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8178/172, 8705/4962
1. What is the HCF of 8178,8705?
The HCF of 8178,8705 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 8178/172, 8705/4962?
Answer: GCF of Numerators as per given numbers 8178/172, 8705/4962 is
GCF of Numerators i.e. for 8178,8705 is 1
LCM of denominators i.e. for 172,4962 is 426732.
Thus, GCF of Fractions is 1/426732.Finally, GCF of Fractions for 8178/172, 8705/4962 is 1/426732.