GCF of 901/506, 4609/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 901/506, 4609/614 i.e 1/155342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/506, 4609/614.
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 901/506,4609/614?
Given fractions are 901/506,4609/614
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 901/506,4609/614, numerators are 901,4609
Denominators are 506,614
The GCF of 901,4609 is 1 .
LCM of 506,614 is 155342.
The greatest common factor of 901/506,4609/614 = [GCF of 901,4609]/[LCM of 506,614]= 1/155342
Therefore, the GCF of 901/506,4609/614 is 1/155342.
To find the highest common factor of 901,4609, we have to find the factors of both numbers and list the highest common factor.
The factors of 901 are 1, 17, 53, 901
The factors of 4609 are 1, 11, 419, 4609
The HCF of 901,4609 is 1.
Lets's calculate GCF of 901,4609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 901,4609 By Matching Biggest Common Factor Method
Now, list down the factors of 901
:1,17,53,901
Now, list down the factors of 4609
:1,11,419,4609
Greatest Common Factor
We found the factors 901,4609 . The biggest common factor number is the GCF number.
So the greatest common factor 901,4609 is 1.
Lets's calculate LCM of 506,614
| 2 | 506, 614 |
| 253, 307 |
∴ So the LCM of the given numbers is 2 x 253 x 307 = 155342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155342
Therefore, the GCF of Fractions 901/506,4609/614 is 1/155342
Least Common Multiple of 506,614 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 506,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,614) x common factors =2 x 1 = 2
LCM(506,614) = ( 506 × 614 ) / 2
LCM(506,614) = 310684 / 2
LCM(506,614) = 155342
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FAQs on GCF of Fractions of 901/506, 4609/614
1. What is the HCF of 901,4609?
The HCF of 901,4609 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 901/506, 4609/614?
Answer: GCF of Numerators as per given numbers 901/506, 4609/614 is
GCF of Numerators i.e. for 901,4609 is 1
LCM of denominators i.e. for 506,614 is 155342.
Thus, GCF of Fractions is 1/155342.Finally, GCF of Fractions for 901/506, 4609/614 is 1/155342.