GCF of 4155/394, 7282/7646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4155/394, 7282/7646 i.e 1/1506262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4155/394, 7282/7646.
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 4155/394,7282/7646?
Given fractions are 4155/394,7282/7646
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 4155/394,7282/7646, numerators are 4155,7282
Denominators are 394,7646
The GCF of 4155,7282 is 1 .
LCM of 394,7646 is 1506262.
The greatest common factor of 4155/394,7282/7646 = [GCF of 4155,7282]/[LCM of 394,7646]= 1/1506262
Therefore, the GCF of 4155/394,7282/7646 is 1/1506262.
To find the highest common factor of 4155,7282, we have to find the factors of both numbers and list the highest common factor.
The factors of 4155 are 1, 3, 5, 15, 277, 831, 1385, 4155
The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282
The HCF of 4155,7282 is 1.
Lets's calculate GCF of 4155,7282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4155,7282 By Matching Biggest Common Factor Method
Now, list down the factors of 4155
:1,3,5,15,277,831,1385,4155
Now, list down the factors of 7282
:1,2,11,22,331,662,3641,7282
Greatest Common Factor
We found the factors 4155,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 4155,7282 is 1.
Lets's calculate LCM of 394,7646
| 2 | 394, 7646 |
| 197, 3823 |
∴ So the LCM of the given numbers is 2 x 197 x 3823 = 1506262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1506262
Therefore, the GCF of Fractions 4155/394,7282/7646 is 1/1506262
Least Common Multiple of 394,7646 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 394,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,7646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,7646) x common factors =2 x 1 = 2
LCM(394,7646) = ( 394 × 7646 ) / 2
LCM(394,7646) = 3012524 / 2
LCM(394,7646) = 1506262
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FAQs on GCF of Fractions of 4155/394, 7282/7646
1. What is the HCF of 4155,7282?
The HCF of 4155,7282 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 4155/394, 7282/7646?
Answer: GCF of Numerators as per given numbers 4155/394, 7282/7646 is
GCF of Numerators i.e. for 4155,7282 is 1
LCM of denominators i.e. for 394,7646 is 1506262.
Thus, GCF of Fractions is 1/1506262.Finally, GCF of Fractions for 4155/394, 7282/7646 is 1/1506262.