GCF of 4553/626, 1574/586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4553/626, 1574/586 i.e 1/183418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4553/626, 1574/586.
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 4553/626,1574/586?
Given fractions are 4553/626,1574/586
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 4553/626,1574/586, numerators are 4553,1574
Denominators are 626,586
The GCF of 4553,1574 is 1 .
LCM of 626,586 is 183418.
The greatest common factor of 4553/626,1574/586 = [GCF of 4553,1574]/[LCM of 626,586]= 1/183418
Therefore, the GCF of 4553/626,1574/586 is 1/183418.
To find the highest common factor of 4553,1574, we have to find the factors of both numbers and list the highest common factor.
The factors of 4553 are 1, 29, 157, 4553
The factors of 1574 are 1, 2, 787, 1574
The HCF of 4553,1574 is 1.
Lets's calculate GCF of 4553,1574
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4553,1574 By Matching Biggest Common Factor Method
Now, list down the factors of 4553
:1,29,157,4553
Now, list down the factors of 1574
:1,2,787,1574
Greatest Common Factor
We found the factors 4553,1574 . The biggest common factor number is the GCF number.
So the greatest common factor 4553,1574 is 1.
Lets's calculate LCM of 626,586
| 2 | 626, 586 |
| 313, 293 |
∴ So the LCM of the given numbers is 2 x 313 x 293 = 183418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183418
Therefore, the GCF of Fractions 4553/626,1574/586 is 1/183418
Least Common Multiple of 626,586 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 626,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,586) x common factors =2 x 1 = 2
LCM(626,586) = ( 626 × 586 ) / 2
LCM(626,586) = 366836 / 2
LCM(626,586) = 183418
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FAQs on GCF of Fractions of 4553/626, 1574/586
1. What is the HCF of 4553,1574?
The HCF of 4553,1574 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 4553/626, 1574/586?
Answer: GCF of Numerators as per given numbers 4553/626, 1574/586 is
GCF of Numerators i.e. for 4553,1574 is 1
LCM of denominators i.e. for 626,586 is 183418.
Thus, GCF of Fractions is 1/183418.Finally, GCF of Fractions for 4553/626, 1574/586 is 1/183418.