GCF of 4306/736, 5582/4498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4306/736, 5582/4498 i.e 2/1655264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4306/736, 5582/4498.
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 4306/736,5582/4498?
Given fractions are 4306/736,5582/4498
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 4306/736,5582/4498, numerators are 4306,5582
Denominators are 736,4498
The GCF of 4306,5582 is 2 .
LCM of 736,4498 is 1655264.
The greatest common factor of 4306/736,5582/4498 = [GCF of 4306,5582]/[LCM of 736,4498]= 2/1655264
Therefore, the GCF of 4306/736,5582/4498 is 2/1655264.
To find the highest common factor of 4306,5582, we have to find the factors of both numbers and list the highest common factor.
The factors of 4306 are 1, 2, 2153, 4306
The factors of 5582 are 1, 2, 2791, 5582
The HCF of 4306,5582 is 2.
Lets's calculate GCF of 4306,5582
| 2 | 4306, 5582 |
| 2153, 2791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4306,5582 By Matching Biggest Common Factor Method
Now, list down the factors of 4306
:1,2,2153,4306
Now, list down the factors of 5582
:1,2,2791,5582
Greatest Common Factor
We found the factors 4306,5582 . The biggest common factor number is the GCF number.
So the greatest common factor 4306,5582 is 2.
Lets's calculate LCM of 736,4498
| 2 | 736, 4498 |
| 368, 2249 |
∴ So the LCM of the given numbers is 2 x 368 x 2249 = 1655264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1655264
Therefore, the GCF of Fractions 4306/736,5582/4498 is 2/1655264
Least Common Multiple of 736,4498 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 736,4498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,4498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,4498) x common factors =2 x 1 = 2
LCM(736,4498) = ( 736 × 4498 ) / 2
LCM(736,4498) = 3310528 / 2
LCM(736,4498) = 1655264
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FAQs on GCF of Fractions of 4306/736, 5582/4498
1. What is the HCF of 4306,5582?
The HCF of 4306,5582 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 4306/736, 5582/4498?
Answer: GCF of Numerators as per given numbers 4306/736, 5582/4498 is
GCF of Numerators i.e. for 4306,5582 is 2
LCM of denominators i.e. for 736,4498 is 1655264.
Thus, GCF of Fractions is 2/1655264.Finally, GCF of Fractions for 4306/736, 5582/4498 is 2/1655264.