GCF of 1595/288, 8455/3674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1595/288, 8455/3674 i.e 5/529056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1595/288, 8455/3674.
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 1595/288,8455/3674?
Given fractions are 1595/288,8455/3674
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 1595/288,8455/3674, numerators are 1595,8455
Denominators are 288,3674
The GCF of 1595,8455 is 5 .
LCM of 288,3674 is 529056.
The greatest common factor of 1595/288,8455/3674 = [GCF of 1595,8455]/[LCM of 288,3674]= 5/529056
Therefore, the GCF of 1595/288,8455/3674 is 5/529056.
To find the highest common factor of 1595,8455, we have to find the factors of both numbers and list the highest common factor.
The factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595
The factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455
The HCF of 1595,8455 is 5.
Lets's calculate GCF of 1595,8455
| 5 | 1595, 8455 |
| 319, 1691 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1595,8455 By Matching Biggest Common Factor Method
Now, list down the factors of 1595
:1,5,11,29,55,145,319,1595
Now, list down the factors of 8455
:1,5,19,89,95,445,1691,8455
Greatest Common Factor
We found the factors 1595,8455 . The biggest common factor number is the GCF number.
So the greatest common factor 1595,8455 is 5.
Lets's calculate LCM of 288,3674
| 2 | 288, 3674 |
| 144, 1837 |
∴ So the LCM of the given numbers is 2 x 144 x 1837 = 529056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/529056
Therefore, the GCF of Fractions 1595/288,8455/3674 is 5/529056
Least Common Multiple of 288,3674 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 288,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,3674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(288,3674) x common factors =2 x 1 = 2
LCM(288,3674) = ( 288 × 3674 ) / 2
LCM(288,3674) = 1058112 / 2
LCM(288,3674) = 529056
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FAQs on GCF of Fractions of 1595/288, 8455/3674
1. What is the HCF of 1595,8455?
The HCF of 1595,8455 is 5
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 1595/288, 8455/3674?
Answer: GCF of Numerators as per given numbers 1595/288, 8455/3674 is
GCF of Numerators i.e. for 1595,8455 is 5
LCM of denominators i.e. for 288,3674 is 529056.
Thus, GCF of Fractions is 5/529056.Finally, GCF of Fractions for 1595/288, 8455/3674 is 5/529056.