GCF of 5066/412, 7780/2328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5066/412, 7780/2328 i.e 2/239784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5066/412, 7780/2328.
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 5066/412,7780/2328?
Given fractions are 5066/412,7780/2328
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 5066/412,7780/2328, numerators are 5066,7780
Denominators are 412,2328
The GCF of 5066,7780 is 2 .
LCM of 412,2328 is 239784.
The greatest common factor of 5066/412,7780/2328 = [GCF of 5066,7780]/[LCM of 412,2328]= 2/239784
Therefore, the GCF of 5066/412,7780/2328 is 2/239784.
To find the highest common factor of 5066,7780, we have to find the factors of both numbers and list the highest common factor.
The factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066
The factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780
The HCF of 5066,7780 is 2.
Lets's calculate GCF of 5066,7780
| 2 | 5066, 7780 |
| 2533, 3890 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5066,7780 By Matching Biggest Common Factor Method
Now, list down the factors of 5066
:1,2,17,34,149,298,2533,5066
Now, list down the factors of 7780
:1,2,4,5,10,20,389,778,1556,1945,3890,7780
Greatest Common Factor
We found the factors 5066,7780 . The biggest common factor number is the GCF number.
So the greatest common factor 5066,7780 is 2.
Lets's calculate LCM of 412,2328
| 2 | 412, 2328 |
| 2 | 206, 1164 |
| 103, 582 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 582 = 239784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239784
Therefore, the GCF of Fractions 5066/412,7780/2328 is 2/239784
Least Common Multiple of 412,2328 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 412,2328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,2328) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,2328) x common factors =4 x 1 = 4
LCM(412,2328) = ( 412 × 2328 ) / 4
LCM(412,2328) = 959136 / 4
LCM(412,2328) = 239784
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FAQs on GCF of Fractions of 5066/412, 7780/2328
1. What is the HCF of 5066,7780?
The HCF of 5066,7780 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 5066/412, 7780/2328?
Answer: GCF of Numerators as per given numbers 5066/412, 7780/2328 is
GCF of Numerators i.e. for 5066,7780 is 2
LCM of denominators i.e. for 412,2328 is 239784.
Thus, GCF of Fractions is 2/239784.Finally, GCF of Fractions for 5066/412, 7780/2328 is 2/239784.