GCF of 626/18, 678/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 626/18, 678/744 i.e 2/2232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 626/18, 678/744.
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 626/18,678/744?
Given fractions are 626/18,678/744
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 626/18,678/744, numerators are 626,678
Denominators are 18,744
The GCF of 626,678 is 2 .
LCM of 18,744 is 2232.
The greatest common factor of 626/18,678/744 = [GCF of 626,678]/[LCM of 18,744]= 2/2232
Therefore, the GCF of 626/18,678/744 is 2/2232.
To find the highest common factor of 626,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 626 are 1, 2, 313, 626
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 626,678 is 2.
Lets's calculate GCF of 626,678
| 2 | 626, 678 |
| 313, 339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 626,678 By Matching Biggest Common Factor Method
Now, list down the factors of 626
:1,2,313,626
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 626,678 . The biggest common factor number is the GCF number.
So the greatest common factor 626,678 is 2.
Lets's calculate LCM of 18,744
| 2 | 18, 744 |
| 3 | 9, 372 |
| 3, 124 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 124 = 2232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2232
Therefore, the GCF of Fractions 626/18,678/744 is 2/2232
Least Common Multiple of 18,744 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 18,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,744) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(18,744) x common factors =6 x 1 = 6
LCM(18,744) = ( 18 × 744 ) / 6
LCM(18,744) = 13392 / 6
LCM(18,744) = 2232
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FAQs on GCF of Fractions of 626/18, 678/744
1. What is the HCF of 626,678?
The HCF of 626,678 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 626/18, 678/744?
Answer: GCF of Numerators as per given numbers 626/18, 678/744 is
GCF of Numerators i.e. for 626,678 is 2
LCM of denominators i.e. for 18,744 is 2232.
Thus, GCF of Fractions is 2/2232.Finally, GCF of Fractions for 626/18, 678/744 is 2/2232.