GCF of 7134/447, 3599/5946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7134/447, 3599/5946 i.e 1/885954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7134/447, 3599/5946.
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 7134/447,3599/5946?
Given fractions are 7134/447,3599/5946
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 7134/447,3599/5946, numerators are 7134,3599
Denominators are 447,5946
The GCF of 7134,3599 is 1 .
LCM of 447,5946 is 885954.
The greatest common factor of 7134/447,3599/5946 = [GCF of 7134,3599]/[LCM of 447,5946]= 1/885954
Therefore, the GCF of 7134/447,3599/5946 is 1/885954.
To find the highest common factor of 7134,3599, we have to find the factors of both numbers and list the highest common factor.
The factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134
The factors of 3599 are 1, 59, 61, 3599
The HCF of 7134,3599 is 1.
Lets's calculate GCF of 7134,3599
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7134,3599 By Matching Biggest Common Factor Method
Now, list down the factors of 7134
:1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134
Now, list down the factors of 3599
:1,59,61,3599
Greatest Common Factor
We found the factors 7134,3599 . The biggest common factor number is the GCF number.
So the greatest common factor 7134,3599 is 1.
Lets's calculate LCM of 447,5946
| 3 | 447, 5946 |
| 149, 1982 |
∴ So the LCM of the given numbers is 3 x 149 x 1982 = 885954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/885954
Therefore, the GCF of Fractions 7134/447,3599/5946 is 1/885954
Least Common Multiple of 447,5946 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 447,5946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,5946) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,5946) x common factors =3 x 1 = 3
LCM(447,5946) = ( 447 × 5946 ) / 3
LCM(447,5946) = 2657862 / 3
LCM(447,5946) = 885954
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FAQs on GCF of Fractions of 7134/447, 3599/5946
1. What is the HCF of 7134,3599?
The HCF of 7134,3599 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 7134/447, 3599/5946?
Answer: GCF of Numerators as per given numbers 7134/447, 3599/5946 is
GCF of Numerators i.e. for 7134,3599 is 1
LCM of denominators i.e. for 447,5946 is 885954.
Thus, GCF of Fractions is 1/885954.Finally, GCF of Fractions for 7134/447, 3599/5946 is 1/885954.