GCF of 755/18, 604/3946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 755/18, 604/3946 i.e 151/35514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 755/18, 604/3946.
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 755/18,604/3946?
Given fractions are 755/18,604/3946
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 755/18,604/3946, numerators are 755,604
Denominators are 18,3946
The GCF of 755,604 is 151 .
LCM of 18,3946 is 35514.
The greatest common factor of 755/18,604/3946 = [GCF of 755,604]/[LCM of 18,3946]= 151/35514
Therefore, the GCF of 755/18,604/3946 is 151/35514.
To find the highest common factor of 755,604, we have to find the factors of both numbers and list the highest common factor.
The factors of 755 are 1, 5, 151, 755
The factors of 604 are 1, 2, 4, 151, 302, 604
The HCF of 755,604 is 151.
Lets's calculate GCF of 755,604
| 151 | 755, 604 |
| 5, 4 |
∴ So the GCF of the given numbers is 151 = 151
Greatest Common Factor of 755,604 By Matching Biggest Common Factor Method
Now, list down the factors of 755
:1,5,151,755
Now, list down the factors of 604
:1,2,4,151,302,604
Greatest Common Factor
We found the factors 755,604 . The biggest common factor number is the GCF number.
So the greatest common factor 755,604 is 151.
Lets's calculate LCM of 18,3946
| 2 | 18, 3946 |
| 9, 1973 |
∴ So the LCM of the given numbers is 2 x 9 x 1973 = 35514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 151/35514
Therefore, the GCF of Fractions 755/18,604/3946 is 151/35514
Least Common Multiple of 18,3946 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 18,3946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,3946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,3946) x common factors =2 x 1 = 2
LCM(18,3946) = ( 18 × 3946 ) / 2
LCM(18,3946) = 71028 / 2
LCM(18,3946) = 35514
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FAQs on GCF of Fractions of 755/18, 604/3946
1. What is the HCF of 755,604?
The HCF of 755,604 is 151
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 755/18, 604/3946?
Answer: GCF of Numerators as per given numbers 755/18, 604/3946 is
GCF of Numerators i.e. for 755,604 is 151
LCM of denominators i.e. for 18,3946 is 35514.
Thus, GCF of Fractions is 151/35514.Finally, GCF of Fractions for 755/18, 604/3946 is 151/35514.