GCF of 5727/654, 6349/7905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5727/654, 6349/7905 i.e 1/1723290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5727/654, 6349/7905.
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 5727/654,6349/7905?
Given fractions are 5727/654,6349/7905
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 5727/654,6349/7905, numerators are 5727,6349
Denominators are 654,7905
The GCF of 5727,6349 is 1 .
LCM of 654,7905 is 1723290.
The greatest common factor of 5727/654,6349/7905 = [GCF of 5727,6349]/[LCM of 654,7905]= 1/1723290
Therefore, the GCF of 5727/654,6349/7905 is 1/1723290.
To find the highest common factor of 5727,6349, we have to find the factors of both numbers and list the highest common factor.
The factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727
The factors of 6349 are 1, 7, 907, 6349
The HCF of 5727,6349 is 1.
Lets's calculate GCF of 5727,6349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5727,6349 By Matching Biggest Common Factor Method
Now, list down the factors of 5727
:1,3,23,69,83,249,1909,5727
Now, list down the factors of 6349
:1,7,907,6349
Greatest Common Factor
We found the factors 5727,6349 . The biggest common factor number is the GCF number.
So the greatest common factor 5727,6349 is 1.
Lets's calculate LCM of 654,7905
| 3 | 654, 7905 |
| 218, 2635 |
∴ So the LCM of the given numbers is 3 x 218 x 2635 = 1723290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1723290
Therefore, the GCF of Fractions 5727/654,6349/7905 is 1/1723290
Least Common Multiple of 654,7905 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 654,7905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,7905) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(654,7905) x common factors =3 x 1 = 3
LCM(654,7905) = ( 654 × 7905 ) / 3
LCM(654,7905) = 5169870 / 3
LCM(654,7905) = 1723290
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FAQs on GCF of Fractions of 5727/654, 6349/7905
1. What is the HCF of 5727,6349?
The HCF of 5727,6349 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 5727/654, 6349/7905?
Answer: GCF of Numerators as per given numbers 5727/654, 6349/7905 is
GCF of Numerators i.e. for 5727,6349 is 1
LCM of denominators i.e. for 654,7905 is 1723290.
Thus, GCF of Fractions is 1/1723290.Finally, GCF of Fractions for 5727/654, 6349/7905 is 1/1723290.