GCF of 554/51, 774/1848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 554/51, 774/1848 i.e 2/31416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/51, 774/1848.
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 554/51,774/1848?
Given fractions are 554/51,774/1848
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 554/51,774/1848, numerators are 554,774
Denominators are 51,1848
The GCF of 554,774 is 2 .
LCM of 51,1848 is 31416.
The greatest common factor of 554/51,774/1848 = [GCF of 554,774]/[LCM of 51,1848]= 2/31416
Therefore, the GCF of 554/51,774/1848 is 2/31416.
To find the highest common factor of 554,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 554,774 is 2.
Lets's calculate GCF of 554,774
| 2 | 554, 774 |
| 277, 387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 554,774 By Matching Biggest Common Factor Method
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 554,774 . The biggest common factor number is the GCF number.
So the greatest common factor 554,774 is 2.
Lets's calculate LCM of 51,1848
| 3 | 51, 1848 |
| 17, 616 |
∴ So the LCM of the given numbers is 3 x 17 x 616 = 31416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31416
Therefore, the GCF of Fractions 554/51,774/1848 is 2/31416
Least Common Multiple of 51,1848 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 51,1848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,1848) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,1848) x common factors =3 x 1 = 3
LCM(51,1848) = ( 51 × 1848 ) / 3
LCM(51,1848) = 94248 / 3
LCM(51,1848) = 31416
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 554/51, 774/1848
1. What is the HCF of 554,774?
The HCF of 554,774 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 554/51, 774/1848?
Answer: GCF of Numerators as per given numbers 554/51, 774/1848 is
GCF of Numerators i.e. for 554,774 is 2
LCM of denominators i.e. for 51,1848 is 31416.
Thus, GCF of Fractions is 2/31416.Finally, GCF of Fractions for 554/51, 774/1848 is 2/31416.