GCF of 2722/747, 3640/5854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2722/747, 3640/5854 i.e 2/4372938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2722/747, 3640/5854.
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 2722/747,3640/5854?
Given fractions are 2722/747,3640/5854
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 2722/747,3640/5854, numerators are 2722,3640
Denominators are 747,5854
The GCF of 2722,3640 is 2 .
LCM of 747,5854 is 4372938.
The greatest common factor of 2722/747,3640/5854 = [GCF of 2722,3640]/[LCM of 747,5854]= 2/4372938
Therefore, the GCF of 2722/747,3640/5854 is 2/4372938.
To find the highest common factor of 2722,3640, we have to find the factors of both numbers and list the highest common factor.
The factors of 2722 are 1, 2, 1361, 2722
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
The HCF of 2722,3640 is 2.
Lets's calculate GCF of 2722,3640
| 2 | 2722, 3640 |
| 1361, 1820 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2722,3640 By Matching Biggest Common Factor Method
Now, list down the factors of 2722
:1,2,1361,2722
Now, list down the factors of 3640
:1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Greatest Common Factor
We found the factors 2722,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 2722,3640 is 2.
Lets's calculate LCM of 747,5854
Given numbers has no common factors except 1. So, there LCM is their product i.e 4372938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4372938
Therefore, the GCF of Fractions 2722/747,3640/5854 is 2/4372938
Least Common Multiple of 747,5854 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 747,5854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,5854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,5854) x common factors =1 x 1 = 1
LCM(747,5854) = ( 747 × 5854 ) / 1
LCM(747,5854) = 4372938 / 1
LCM(747,5854) = 4372938
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2722/747, 3640/5854
1. What is the HCF of 2722,3640?
The HCF of 2722,3640 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 2722/747, 3640/5854?
Answer: GCF of Numerators as per given numbers 2722/747, 3640/5854 is
GCF of Numerators i.e. for 2722,3640 is 2
LCM of denominators i.e. for 747,5854 is 4372938.
Thus, GCF of Fractions is 2/4372938.Finally, GCF of Fractions for 2722/747, 3640/5854 is 2/4372938.