GCF of 3867/774, 2678/4990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3867/774, 2678/4990 i.e 1/1931130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3867/774, 2678/4990.
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 3867/774,2678/4990?
Given fractions are 3867/774,2678/4990
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 3867/774,2678/4990, numerators are 3867,2678
Denominators are 774,4990
The GCF of 3867,2678 is 1 .
LCM of 774,4990 is 1931130.
The greatest common factor of 3867/774,2678/4990 = [GCF of 3867,2678]/[LCM of 774,4990]= 1/1931130
Therefore, the GCF of 3867/774,2678/4990 is 1/1931130.
To find the highest common factor of 3867,2678, we have to find the factors of both numbers and list the highest common factor.
The factors of 3867 are 1, 3, 1289, 3867
The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 3867,2678 is 1.
Lets's calculate GCF of 3867,2678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3867,2678 By Matching Biggest Common Factor Method
Now, list down the factors of 3867
:1,3,1289,3867
Now, list down the factors of 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 3867,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 3867,2678 is 1.
Lets's calculate LCM of 774,4990
| 2 | 774, 4990 |
| 387, 2495 |
∴ So the LCM of the given numbers is 2 x 387 x 2495 = 1931130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1931130
Therefore, the GCF of Fractions 3867/774,2678/4990 is 1/1931130
Least Common Multiple of 774,4990 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 774,4990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,4990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,4990) x common factors =2 x 1 = 2
LCM(774,4990) = ( 774 × 4990 ) / 2
LCM(774,4990) = 3862260 / 2
LCM(774,4990) = 1931130
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FAQs on GCF of Fractions of 3867/774, 2678/4990
1. What is the HCF of 3867,2678?
The HCF of 3867,2678 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 3867/774, 2678/4990?
Answer: GCF of Numerators as per given numbers 3867/774, 2678/4990 is
GCF of Numerators i.e. for 3867,2678 is 1
LCM of denominators i.e. for 774,4990 is 1931130.
Thus, GCF of Fractions is 1/1931130.Finally, GCF of Fractions for 3867/774, 2678/4990 is 1/1931130.