GCF of 5786/146, 7479/6470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5786/146, 7479/6470 i.e 1/472310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5786/146, 7479/6470.
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 5786/146,7479/6470?
Given fractions are 5786/146,7479/6470
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 5786/146,7479/6470, numerators are 5786,7479
Denominators are 146,6470
The GCF of 5786,7479 is 1 .
LCM of 146,6470 is 472310.
The greatest common factor of 5786/146,7479/6470 = [GCF of 5786,7479]/[LCM of 146,6470]= 1/472310
Therefore, the GCF of 5786/146,7479/6470 is 1/472310.
To find the highest common factor of 5786,7479, we have to find the factors of both numbers and list the highest common factor.
The factors of 5786 are 1, 2, 11, 22, 263, 526, 2893, 5786
The factors of 7479 are 1, 3, 9, 27, 277, 831, 2493, 7479
The HCF of 5786,7479 is 1.
Lets's calculate GCF of 5786,7479
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5786,7479 By Matching Biggest Common Factor Method
Now, list down the factors of 5786
:1,2,11,22,263,526,2893,5786
Now, list down the factors of 7479
:1,3,9,27,277,831,2493,7479
Greatest Common Factor
We found the factors 5786,7479 . The biggest common factor number is the GCF number.
So the greatest common factor 5786,7479 is 1.
Lets's calculate LCM of 146,6470
| 2 | 146, 6470 |
| 73, 3235 |
∴ So the LCM of the given numbers is 2 x 73 x 3235 = 472310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472310
Therefore, the GCF of Fractions 5786/146,7479/6470 is 1/472310
Least Common Multiple of 146,6470 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 146,6470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,6470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,6470) x common factors =2 x 1 = 2
LCM(146,6470) = ( 146 × 6470 ) / 2
LCM(146,6470) = 944620 / 2
LCM(146,6470) = 472310
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FAQs on GCF of Fractions of 5786/146, 7479/6470
1. What is the HCF of 5786,7479?
The HCF of 5786,7479 is 1
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 5786/146, 7479/6470?
Answer: GCF of Numerators as per given numbers 5786/146, 7479/6470 is
GCF of Numerators i.e. for 5786,7479 is 1
LCM of denominators i.e. for 146,6470 is 472310.
Thus, GCF of Fractions is 1/472310.Finally, GCF of Fractions for 5786/146, 7479/6470 is 1/472310.