GCF of 141/564, 3697/7749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/564, 3697/7749 i.e 1/1456812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/564, 3697/7749.
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 141/564,3697/7749?
Given fractions are 141/564,3697/7749
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 141/564,3697/7749, numerators are 141,3697
Denominators are 564,7749
The GCF of 141,3697 is 1 .
LCM of 564,7749 is 1456812.
The greatest common factor of 141/564,3697/7749 = [GCF of 141,3697]/[LCM of 564,7749]= 1/1456812
Therefore, the GCF of 141/564,3697/7749 is 1/1456812.
To find the highest common factor of 141,3697, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 3697 are 1, 3697
The HCF of 141,3697 is 1.
Lets's calculate GCF of 141,3697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 141,3697 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 3697
:1,3697
Greatest Common Factor
We found the factors 141,3697 . The biggest common factor number is the GCF number.
So the greatest common factor 141,3697 is 1.
Lets's calculate LCM of 564,7749
| 3 | 564, 7749 |
| 188, 2583 |
∴ So the LCM of the given numbers is 3 x 188 x 2583 = 1456812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1456812
Therefore, the GCF of Fractions 141/564,3697/7749 is 1/1456812
Least Common Multiple of 564,7749 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 564,7749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,7749) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(564,7749) x common factors =3 x 1 = 3
LCM(564,7749) = ( 564 × 7749 ) / 3
LCM(564,7749) = 4370436 / 3
LCM(564,7749) = 1456812
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FAQs on GCF of Fractions of 141/564, 3697/7749
1. What is the HCF of 141,3697?
The HCF of 141,3697 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 141/564, 3697/7749?
Answer: GCF of Numerators as per given numbers 141/564, 3697/7749 is
GCF of Numerators i.e. for 141,3697 is 1
LCM of denominators i.e. for 564,7749 is 1456812.
Thus, GCF of Fractions is 1/1456812.Finally, GCF of Fractions for 141/564, 3697/7749 is 1/1456812.