GCF of 4764/414, 5585/507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4764/414, 5585/507 i.e 1/69966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4764/414, 5585/507.
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 4764/414,5585/507?
Given fractions are 4764/414,5585/507
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 4764/414,5585/507, numerators are 4764,5585
Denominators are 414,507
The GCF of 4764,5585 is 1 .
LCM of 414,507 is 69966.
The greatest common factor of 4764/414,5585/507 = [GCF of 4764,5585]/[LCM of 414,507]= 1/69966
Therefore, the GCF of 4764/414,5585/507 is 1/69966.
To find the highest common factor of 4764,5585, we have to find the factors of both numbers and list the highest common factor.
The factors of 4764 are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764
The factors of 5585 are 1, 5, 1117, 5585
The HCF of 4764,5585 is 1.
Lets's calculate GCF of 4764,5585
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4764,5585 By Matching Biggest Common Factor Method
Now, list down the factors of 4764
:1,2,3,4,6,12,397,794,1191,1588,2382,4764
Now, list down the factors of 5585
:1,5,1117,5585
Greatest Common Factor
We found the factors 4764,5585 . The biggest common factor number is the GCF number.
So the greatest common factor 4764,5585 is 1.
Lets's calculate LCM of 414,507
| 3 | 414, 507 |
| 138, 169 |
∴ So the LCM of the given numbers is 3 x 138 x 169 = 69966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69966
Therefore, the GCF of Fractions 4764/414,5585/507 is 1/69966
Least Common Multiple of 414,507 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 414,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,507) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(414,507) x common factors =3 x 1 = 3
LCM(414,507) = ( 414 × 507 ) / 3
LCM(414,507) = 209898 / 3
LCM(414,507) = 69966
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FAQs on GCF of Fractions of 4764/414, 5585/507
1. What is the HCF of 4764,5585?
The HCF of 4764,5585 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 4764/414, 5585/507?
Answer: GCF of Numerators as per given numbers 4764/414, 5585/507 is
GCF of Numerators i.e. for 4764,5585 is 1
LCM of denominators i.e. for 414,507 is 69966.
Thus, GCF of Fractions is 1/69966.Finally, GCF of Fractions for 4764/414, 5585/507 is 1/69966.