GCF of 1969/966, 4804/2994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1969/966, 4804/2994 i.e 1/482034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1969/966, 4804/2994.
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 1969/966,4804/2994?
Given fractions are 1969/966,4804/2994
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 1969/966,4804/2994, numerators are 1969,4804
Denominators are 966,2994
The GCF of 1969,4804 is 1 .
LCM of 966,2994 is 482034.
The greatest common factor of 1969/966,4804/2994 = [GCF of 1969,4804]/[LCM of 966,2994]= 1/482034
Therefore, the GCF of 1969/966,4804/2994 is 1/482034.
To find the highest common factor of 1969,4804, we have to find the factors of both numbers and list the highest common factor.
The factors of 1969 are 1, 11, 179, 1969
The factors of 4804 are 1, 2, 4, 1201, 2402, 4804
The HCF of 1969,4804 is 1.
Lets's calculate GCF of 1969,4804
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1969,4804 By Matching Biggest Common Factor Method
Now, list down the factors of 1969
:1,11,179,1969
Now, list down the factors of 4804
:1,2,4,1201,2402,4804
Greatest Common Factor
We found the factors 1969,4804 . The biggest common factor number is the GCF number.
So the greatest common factor 1969,4804 is 1.
Lets's calculate LCM of 966,2994
| 2 | 966, 2994 |
| 3 | 483, 1497 |
| 161, 499 |
∴ So the LCM of the given numbers is 2 x 3 x 161 x 499 = 482034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482034
Therefore, the GCF of Fractions 1969/966,4804/2994 is 1/482034
Least Common Multiple of 966,2994 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 966,2994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,2994) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(966,2994) x common factors =6 x 1 = 6
LCM(966,2994) = ( 966 × 2994 ) / 6
LCM(966,2994) = 2892204 / 6
LCM(966,2994) = 482034
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1969/966, 4804/2994
1. What is the HCF of 1969,4804?
The HCF of 1969,4804 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 1969/966, 4804/2994?
Answer: GCF of Numerators as per given numbers 1969/966, 4804/2994 is
GCF of Numerators i.e. for 1969,4804 is 1
LCM of denominators i.e. for 966,2994 is 482034.
Thus, GCF of Fractions is 1/482034.Finally, GCF of Fractions for 1969/966, 4804/2994 is 1/482034.