GCF of 4190/739, 4654/5455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4190/739, 4654/5455 i.e 2/4031245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4190/739, 4654/5455.
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 4190/739,4654/5455?
Given fractions are 4190/739,4654/5455
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 4190/739,4654/5455, numerators are 4190,4654
Denominators are 739,5455
The GCF of 4190,4654 is 2 .
LCM of 739,5455 is 4031245.
The greatest common factor of 4190/739,4654/5455 = [GCF of 4190,4654]/[LCM of 739,5455]= 2/4031245
Therefore, the GCF of 4190/739,4654/5455 is 2/4031245.
To find the highest common factor of 4190,4654, we have to find the factors of both numbers and list the highest common factor.
The factors of 4190 are 1, 2, 5, 10, 419, 838, 2095, 4190
The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654
The HCF of 4190,4654 is 2.
Lets's calculate GCF of 4190,4654
| 2 | 4190, 4654 |
| 2095, 2327 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4190,4654 By Matching Biggest Common Factor Method
Now, list down the factors of 4190
:1,2,5,10,419,838,2095,4190
Now, list down the factors of 4654
:1,2,13,26,179,358,2327,4654
Greatest Common Factor
We found the factors 4190,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 4190,4654 is 2.
Lets's calculate LCM of 739,5455
Given numbers has no common factors except 1. So, there LCM is their product i.e 4031245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4031245
Therefore, the GCF of Fractions 4190/739,4654/5455 is 2/4031245
Least Common Multiple of 739,5455 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 739,5455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,5455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,5455) x common factors =1 x 1 = 1
LCM(739,5455) = ( 739 × 5455 ) / 1
LCM(739,5455) = 4031245 / 1
LCM(739,5455) = 4031245
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FAQs on GCF of Fractions of 4190/739, 4654/5455
1. What is the HCF of 4190,4654?
The HCF of 4190,4654 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 4190/739, 4654/5455?
Answer: GCF of Numerators as per given numbers 4190/739, 4654/5455 is
GCF of Numerators i.e. for 4190,4654 is 2
LCM of denominators i.e. for 739,5455 is 4031245.
Thus, GCF of Fractions is 2/4031245.Finally, GCF of Fractions for 4190/739, 4654/5455 is 2/4031245.