GCF of 1866/750, 4772/9753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1866/750, 4772/9753 i.e 2/2438250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1866/750, 4772/9753.
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 1866/750,4772/9753?
Given fractions are 1866/750,4772/9753
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 1866/750,4772/9753, numerators are 1866,4772
Denominators are 750,9753
The GCF of 1866,4772 is 2 .
LCM of 750,9753 is 2438250.
The greatest common factor of 1866/750,4772/9753 = [GCF of 1866,4772]/[LCM of 750,9753]= 2/2438250
Therefore, the GCF of 1866/750,4772/9753 is 2/2438250.
To find the highest common factor of 1866,4772, we have to find the factors of both numbers and list the highest common factor.
The factors of 1866 are 1, 2, 3, 6, 311, 622, 933, 1866
The factors of 4772 are 1, 2, 4, 1193, 2386, 4772
The HCF of 1866,4772 is 2.
Lets's calculate GCF of 1866,4772
| 2 | 1866, 4772 |
| 933, 2386 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1866,4772 By Matching Biggest Common Factor Method
Now, list down the factors of 1866
:1,2,3,6,311,622,933,1866
Now, list down the factors of 4772
:1,2,4,1193,2386,4772
Greatest Common Factor
We found the factors 1866,4772 . The biggest common factor number is the GCF number.
So the greatest common factor 1866,4772 is 2.
Lets's calculate LCM of 750,9753
| 3 | 750, 9753 |
| 250, 3251 |
∴ So the LCM of the given numbers is 3 x 250 x 3251 = 2438250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2438250
Therefore, the GCF of Fractions 1866/750,4772/9753 is 2/2438250
Least Common Multiple of 750,9753 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 750,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,9753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(750,9753) x common factors =3 x 1 = 3
LCM(750,9753) = ( 750 × 9753 ) / 3
LCM(750,9753) = 7314750 / 3
LCM(750,9753) = 2438250
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FAQs on GCF of Fractions of 1866/750, 4772/9753
1. What is the HCF of 1866,4772?
The HCF of 1866,4772 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 1866/750, 4772/9753?
Answer: GCF of Numerators as per given numbers 1866/750, 4772/9753 is
GCF of Numerators i.e. for 1866,4772 is 2
LCM of denominators i.e. for 750,9753 is 2438250.
Thus, GCF of Fractions is 2/2438250.Finally, GCF of Fractions for 1866/750, 4772/9753 is 2/2438250.