GCF of 1634/206, 2678/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1634/206, 2678/687 i.e 2/141522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1634/206, 2678/687.
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 1634/206,2678/687?
Given fractions are 1634/206,2678/687
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 1634/206,2678/687, numerators are 1634,2678
Denominators are 206,687
The GCF of 1634,2678 is 2 .
LCM of 206,687 is 141522.
The greatest common factor of 1634/206,2678/687 = [GCF of 1634,2678]/[LCM of 206,687]= 2/141522
Therefore, the GCF of 1634/206,2678/687 is 2/141522.
To find the highest common factor of 1634,2678, we have to find the factors of both numbers and list the highest common factor.
The factors of 1634 are 1, 2, 19, 38, 43, 86, 817, 1634
The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 1634,2678 is 2.
Lets's calculate GCF of 1634,2678
| 2 | 1634, 2678 |
| 817, 1339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1634,2678 By Matching Biggest Common Factor Method
Now, list down the factors of 1634
:1,2,19,38,43,86,817,1634
Now, list down the factors of 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 1634,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 1634,2678 is 2.
Lets's calculate LCM of 206,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 141522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141522
Therefore, the GCF of Fractions 1634/206,2678/687 is 2/141522
Least Common Multiple of 206,687 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 206,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,687) x common factors =1 x 1 = 1
LCM(206,687) = ( 206 × 687 ) / 1
LCM(206,687) = 141522 / 1
LCM(206,687) = 141522
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1634/206, 2678/687
1. What is the HCF of 1634,2678?
The HCF of 1634,2678 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 1634/206, 2678/687?
Answer: GCF of Numerators as per given numbers 1634/206, 2678/687 is
GCF of Numerators i.e. for 1634,2678 is 2
LCM of denominators i.e. for 206,687 is 141522.
Thus, GCF of Fractions is 2/141522.Finally, GCF of Fractions for 1634/206, 2678/687 is 2/141522.