GCF of 3044/905, 1974/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3044/905, 1974/438 i.e 2/396390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3044/905, 1974/438.
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 3044/905,1974/438?
Given fractions are 3044/905,1974/438
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 3044/905,1974/438, numerators are 3044,1974
Denominators are 905,438
The GCF of 3044,1974 is 2 .
LCM of 905,438 is 396390.
The greatest common factor of 3044/905,1974/438 = [GCF of 3044,1974]/[LCM of 905,438]= 2/396390
Therefore, the GCF of 3044/905,1974/438 is 2/396390.
To find the highest common factor of 3044,1974, we have to find the factors of both numbers and list the highest common factor.
The factors of 3044 are 1, 2, 4, 761, 1522, 3044
The factors of 1974 are 1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974
The HCF of 3044,1974 is 2.
Lets's calculate GCF of 3044,1974
| 2 | 3044, 1974 |
| 1522, 987 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3044,1974 By Matching Biggest Common Factor Method
Now, list down the factors of 3044
:1,2,4,761,1522,3044
Now, list down the factors of 1974
:1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974
Greatest Common Factor
We found the factors 3044,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 3044,1974 is 2.
Lets's calculate LCM of 905,438
Given numbers has no common factors except 1. So, there LCM is their product i.e 396390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/396390
Therefore, the GCF of Fractions 3044/905,1974/438 is 2/396390
Least Common Multiple of 905,438 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 905,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,438) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,438) x common factors =1 x 1 = 1
LCM(905,438) = ( 905 × 438 ) / 1
LCM(905,438) = 396390 / 1
LCM(905,438) = 396390
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FAQs on GCF of Fractions of 3044/905, 1974/438
1. What is the HCF of 3044,1974?
The HCF of 3044,1974 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 3044/905, 1974/438?
Answer: GCF of Numerators as per given numbers 3044/905, 1974/438 is
GCF of Numerators i.e. for 3044,1974 is 2
LCM of denominators i.e. for 905,438 is 396390.
Thus, GCF of Fractions is 2/396390.Finally, GCF of Fractions for 3044/905, 1974/438 is 2/396390.