GCF of 1856/734, 1974/3240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1856/734, 1974/3240 i.e 2/1189080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1856/734, 1974/3240.
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 1856/734,1974/3240?
Given fractions are 1856/734,1974/3240
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 1856/734,1974/3240, numerators are 1856,1974
Denominators are 734,3240
The GCF of 1856,1974 is 2 .
LCM of 734,3240 is 1189080.
The greatest common factor of 1856/734,1974/3240 = [GCF of 1856,1974]/[LCM of 734,3240]= 2/1189080
Therefore, the GCF of 1856/734,1974/3240 is 2/1189080.
To find the highest common factor of 1856,1974, we have to find the factors of both numbers and list the highest common factor.
The factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856
The factors of 1974 are 1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974
The HCF of 1856,1974 is 2.
Lets's calculate GCF of 1856,1974
| 2 | 1856, 1974 |
| 928, 987 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1856,1974 By Matching Biggest Common Factor Method
Now, list down the factors of 1856
:1,2,4,8,16,29,32,58,64,116,232,464,928,1856
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 1856,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 1856,1974 is 2.
Lets's calculate LCM of 734,3240
| 2 | 734, 3240 |
| 367, 1620 |
∴ So the LCM of the given numbers is 2 x 367 x 1620 = 1189080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1189080
Therefore, the GCF of Fractions 1856/734,1974/3240 is 2/1189080
Least Common Multiple of 734,3240 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 734,3240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,3240) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,3240) x common factors =2 x 1 = 2
LCM(734,3240) = ( 734 × 3240 ) / 2
LCM(734,3240) = 2378160 / 2
LCM(734,3240) = 1189080
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FAQs on GCF of Fractions of 1856/734, 1974/3240
1. What is the HCF of 1856,1974?
The HCF of 1856,1974 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 1856/734, 1974/3240?
Answer: GCF of Numerators as per given numbers 1856/734, 1974/3240 is
GCF of Numerators i.e. for 1856,1974 is 2
LCM of denominators i.e. for 734,3240 is 1189080.
Thus, GCF of Fractions is 2/1189080.Finally, GCF of Fractions for 1856/734, 1974/3240 is 2/1189080.