GCF of 886/69, 678/340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/69, 678/340 i.e 2/23460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/69, 678/340.
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 886/69,678/340?
Given fractions are 886/69,678/340
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 886/69,678/340, numerators are 886,678
Denominators are 69,340
The GCF of 886,678 is 2 .
LCM of 69,340 is 23460.
The greatest common factor of 886/69,678/340 = [GCF of 886,678]/[LCM of 69,340]= 2/23460
Therefore, the GCF of 886/69,678/340 is 2/23460.
To find the highest common factor of 886,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 886,678 is 2.
Lets's calculate GCF of 886,678
| 2 | 886, 678 |
| 443, 339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 886,678 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 886,678 . The biggest common factor number is the GCF number.
So the greatest common factor 886,678 is 2.
Lets's calculate LCM of 69,340
Given numbers has no common factors except 1. So, there LCM is their product i.e 23460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23460
Therefore, the GCF of Fractions 886/69,678/340 is 2/23460
Least Common Multiple of 69,340 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 69,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,340) x common factors =1 x 1 = 1
LCM(69,340) = ( 69 × 340 ) / 1
LCM(69,340) = 23460 / 1
LCM(69,340) = 23460
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 886/69, 678/340
1. What is the HCF of 886,678?
The HCF of 886,678 is 2
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 886/69, 678/340?
Answer: GCF of Numerators as per given numbers 886/69, 678/340 is
GCF of Numerators i.e. for 886,678 is 2
LCM of denominators i.e. for 69,340 is 23460.
Thus, GCF of Fractions is 2/23460.Finally, GCF of Fractions for 886/69, 678/340 is 2/23460.