GCF of 7360/723, 3702/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7360/723, 3702/523 i.e 2/378129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7360/723, 3702/523.
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 7360/723,3702/523?
Given fractions are 7360/723,3702/523
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 7360/723,3702/523, numerators are 7360,3702
Denominators are 723,523
The GCF of 7360,3702 is 2 .
LCM of 723,523 is 378129.
The greatest common factor of 7360/723,3702/523 = [GCF of 7360,3702]/[LCM of 723,523]= 2/378129
Therefore, the GCF of 7360/723,3702/523 is 2/378129.
To find the highest common factor of 7360,3702, we have to find the factors of both numbers and list the highest common factor.
The factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360
The factors of 3702 are 1, 2, 3, 6, 617, 1234, 1851, 3702
The HCF of 7360,3702 is 2.
Lets's calculate GCF of 7360,3702
| 2 | 7360, 3702 |
| 3680, 1851 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7360,3702 By Matching Biggest Common Factor Method
Now, list down the factors of 7360
:1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Now, list down the factors of 3702
:1,2,3,6,617,1234,1851,3702
Greatest Common Factor
We found the factors 7360,3702 . The biggest common factor number is the GCF number.
So the greatest common factor 7360,3702 is 2.
Lets's calculate LCM of 723,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 378129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/378129
Therefore, the GCF of Fractions 7360/723,3702/523 is 2/378129
Least Common Multiple of 723,523 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 723,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,523) x common factors =1 x 1 = 1
LCM(723,523) = ( 723 × 523 ) / 1
LCM(723,523) = 378129 / 1
LCM(723,523) = 378129
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FAQs on GCF of Fractions of 7360/723, 3702/523
1. What is the HCF of 7360,3702?
The HCF of 7360,3702 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 7360/723, 3702/523?
Answer: GCF of Numerators as per given numbers 7360/723, 3702/523 is
GCF of Numerators i.e. for 7360,3702 is 2
LCM of denominators i.e. for 723,523 is 378129.
Thus, GCF of Fractions is 2/378129.Finally, GCF of Fractions for 7360/723, 3702/523 is 2/378129.