GCF of 4331/735, 7065/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4331/735, 7065/759 i.e 1/185955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4331/735, 7065/759.
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 4331/735,7065/759?
Given fractions are 4331/735,7065/759
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 4331/735,7065/759, numerators are 4331,7065
Denominators are 735,759
The GCF of 4331,7065 is 1 .
LCM of 735,759 is 185955.
The greatest common factor of 4331/735,7065/759 = [GCF of 4331,7065]/[LCM of 735,759]= 1/185955
Therefore, the GCF of 4331/735,7065/759 is 1/185955.
To find the highest common factor of 4331,7065, we have to find the factors of both numbers and list the highest common factor.
The factors of 4331 are 1, 61, 71, 4331
The factors of 7065 are 1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355, 7065
The HCF of 4331,7065 is 1.
Lets's calculate GCF of 4331,7065
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4331,7065 By Matching Biggest Common Factor Method
Now, list down the factors of 4331
:1,61,71,4331
Now, list down the factors of 7065
:1,3,5,9,15,45,157,471,785,1413,2355,7065
Greatest Common Factor
We found the factors 4331,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 4331,7065 is 1.
Lets's calculate LCM of 735,759
| 3 | 735, 759 |
| 245, 253 |
∴ So the LCM of the given numbers is 3 x 245 x 253 = 185955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185955
Therefore, the GCF of Fractions 4331/735,7065/759 is 1/185955
Least Common Multiple of 735,759 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 735,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,759) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(735,759) x common factors =3 x 1 = 3
LCM(735,759) = ( 735 × 759 ) / 3
LCM(735,759) = 557865 / 3
LCM(735,759) = 185955
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FAQs on GCF of Fractions of 4331/735, 7065/759
1. What is the HCF of 4331,7065?
The HCF of 4331,7065 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 4331/735, 7065/759?
Answer: GCF of Numerators as per given numbers 4331/735, 7065/759 is
GCF of Numerators i.e. for 4331,7065 is 1
LCM of denominators i.e. for 735,759 is 185955.
Thus, GCF of Fractions is 1/185955.Finally, GCF of Fractions for 4331/735, 7065/759 is 1/185955.