GCF of 13/878, 85/298, 370/894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/878, 85/298, 370/894 i.e 1/392466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/878, 85/298, 370/894.
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 13/878,85/298,370/894?
Given fractions are 13/878,85/298,370/894
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 13/878,85/298,370/894, numerators are 13,85,370
Denominators are 878,298,894
The GCF of 13,85,370 is 1 .
LCM of 878,298,894 is 392466.
The greatest common factor of 13/878,85/298,370/894 = [GCF of 13,85,370]/[LCM of 878,298,894]= 1/392466
Therefore, the GCF of 13/878,85/298,370/894 is 1/392466.
To find the highest common factor of 13,85,370, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 85 are 1, 5, 17, 85
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The HCF of 13,85,370 is 1.
Lets's calculate GCF of 13,85,370
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 13,85,370 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 13,85,370 . The biggest common factor number is the GCF number.
So the greatest common factor 13,85,370 is 1.
Lets's calculate LCM of 878,298,894
| 2 | 878, 298, 894 |
| 149 | 439, 149, 447 |
| 439, 1, 3 |
∴ So the LCM of the given numbers is 2 x 149 x 439 x 1 x 3 = 392466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392466
Therefore, the GCF of Fractions 13/878,85/298,370/894 is 1/392466
Least Common Multiple of 878,298,894 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 878,298,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,298,894) = 2
common factors(in case of two or more numbers have common factors) = 298
GCF(878,298,894) x common factors =2 x 298 = 596
LCM(878,298,894) = ( 878 × 298 × 894 ) / 596
LCM(878,298,894) = 233909736 / 596
LCM(878,298,894) = 392466
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 13/878, 85/298, 370/894
1. What is the HCF of 13,85,370?
The HCF of 13,85,370 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 13/878, 85/298, 370/894?
Answer: GCF of Numerators as per given numbers 13/878, 85/298, 370/894 is
GCF of Numerators i.e. for 13,85,370 is 1
LCM of denominators i.e. for 878,298,894 is 392466.
Thus, GCF of Fractions is 1/392466.Finally, GCF of Fractions for 13/878, 85/298, 370/894 is 1/392466.