GCF of 1974/377, 3130/2409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1974/377, 3130/2409 i.e 2/908193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1974/377, 3130/2409.
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 1974/377,3130/2409?
Given fractions are 1974/377,3130/2409
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 1974/377,3130/2409, numerators are 1974,3130
Denominators are 377,2409
The GCF of 1974,3130 is 2 .
LCM of 377,2409 is 908193.
The greatest common factor of 1974/377,3130/2409 = [GCF of 1974,3130]/[LCM of 377,2409]= 2/908193
Therefore, the GCF of 1974/377,3130/2409 is 2/908193.
To find the highest common factor of 1974,3130, we have to find the factors of both numbers and list the highest common factor.
The factors of 1974 are 1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974
The factors of 3130 are 1, 2, 5, 10, 313, 626, 1565, 3130
The HCF of 1974,3130 is 2.
Lets's calculate GCF of 1974,3130
| 2 | 1974, 3130 |
| 987, 1565 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1974,3130 By Matching Biggest Common Factor Method
Now, list down the factors of 1974
:1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974
Now, list down the factors of 3130
:1,2,5,10,313,626,1565,3130
Greatest Common Factor
We found the factors 1974,3130 . The biggest common factor number is the GCF number.
So the greatest common factor 1974,3130 is 2.
Lets's calculate LCM of 377,2409
Given numbers has no common factors except 1. So, there LCM is their product i.e 908193
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/908193
Therefore, the GCF of Fractions 1974/377,3130/2409 is 2/908193
Least Common Multiple of 377,2409 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 377,2409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,2409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,2409) x common factors =1 x 1 = 1
LCM(377,2409) = ( 377 × 2409 ) / 1
LCM(377,2409) = 908193 / 1
LCM(377,2409) = 908193
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FAQs on GCF of Fractions of 1974/377, 3130/2409
1. What is the HCF of 1974,3130?
The HCF of 1974,3130 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 1974/377, 3130/2409?
Answer: GCF of Numerators as per given numbers 1974/377, 3130/2409 is
GCF of Numerators i.e. for 1974,3130 is 2
LCM of denominators i.e. for 377,2409 is 908193.
Thus, GCF of Fractions is 2/908193.Finally, GCF of Fractions for 1974/377, 3130/2409 is 2/908193.