GCF of 5178/723, 7922/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5178/723, 7922/506 i.e 2/365838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5178/723, 7922/506.
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 5178/723,7922/506?
Given fractions are 5178/723,7922/506
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 5178/723,7922/506, numerators are 5178,7922
Denominators are 723,506
The GCF of 5178,7922 is 2 .
LCM of 723,506 is 365838.
The greatest common factor of 5178/723,7922/506 = [GCF of 5178,7922]/[LCM of 723,506]= 2/365838
Therefore, the GCF of 5178/723,7922/506 is 2/365838.
To find the highest common factor of 5178,7922, we have to find the factors of both numbers and list the highest common factor.
The factors of 5178 are 1, 2, 3, 6, 863, 1726, 2589, 5178
The factors of 7922 are 1, 2, 17, 34, 233, 466, 3961, 7922
The HCF of 5178,7922 is 2.
Lets's calculate GCF of 5178,7922
| 2 | 5178, 7922 |
| 2589, 3961 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5178,7922 By Matching Biggest Common Factor Method
Now, list down the factors of 5178
:1,2,3,6,863,1726,2589,5178
Now, list down the factors of 7922
:1,2,17,34,233,466,3961,7922
Greatest Common Factor
We found the factors 5178,7922 . The biggest common factor number is the GCF number.
So the greatest common factor 5178,7922 is 2.
Lets's calculate LCM of 723,506
Given numbers has no common factors except 1. So, there LCM is their product i.e 365838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/365838
Therefore, the GCF of Fractions 5178/723,7922/506 is 2/365838
Least Common Multiple of 723,506 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 723,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,506) x common factors =1 x 1 = 1
LCM(723,506) = ( 723 × 506 ) / 1
LCM(723,506) = 365838 / 1
LCM(723,506) = 365838
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FAQs on GCF of Fractions of 5178/723, 7922/506
1. What is the HCF of 5178,7922?
The HCF of 5178,7922 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 5178/723, 7922/506?
Answer: GCF of Numerators as per given numbers 5178/723, 7922/506 is
GCF of Numerators i.e. for 5178,7922 is 2
LCM of denominators i.e. for 723,506 is 365838.
Thus, GCF of Fractions is 2/365838.Finally, GCF of Fractions for 5178/723, 7922/506 is 2/365838.