GCF of 8101/150, 3546/7680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8101/150, 3546/7680 i.e 1/38400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8101/150, 3546/7680.
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 8101/150,3546/7680?
Given fractions are 8101/150,3546/7680
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 8101/150,3546/7680, numerators are 8101,3546
Denominators are 150,7680
The GCF of 8101,3546 is 1 .
LCM of 150,7680 is 38400.
The greatest common factor of 8101/150,3546/7680 = [GCF of 8101,3546]/[LCM of 150,7680]= 1/38400
Therefore, the GCF of 8101/150,3546/7680 is 1/38400.
To find the highest common factor of 8101,3546, we have to find the factors of both numbers and list the highest common factor.
The factors of 8101 are 1, 8101
The factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546
The HCF of 8101,3546 is 1.
Lets's calculate GCF of 8101,3546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8101,3546 By Matching Biggest Common Factor Method
Now, list down the factors of 8101
:1,8101
Now, list down the factors of 3546
:1,2,3,6,9,18,197,394,591,1182,1773,3546
Greatest Common Factor
We found the factors 8101,3546 . The biggest common factor number is the GCF number.
So the greatest common factor 8101,3546 is 1.
Lets's calculate LCM of 150,7680
| 2 | 150, 7680 |
| 3 | 75, 3840 |
| 5 | 25, 1280 |
| 5, 256 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 256 = 38400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38400
Therefore, the GCF of Fractions 8101/150,3546/7680 is 1/38400
Least Common Multiple of 150,7680 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 150,7680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,7680) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(150,7680) x common factors =30 x 1 = 30
LCM(150,7680) = ( 150 × 7680 ) / 30
LCM(150,7680) = 1152000 / 30
LCM(150,7680) = 38400
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FAQs on GCF of Fractions of 8101/150, 3546/7680
1. What is the HCF of 8101,3546?
The HCF of 8101,3546 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 8101/150, 3546/7680?
Answer: GCF of Numerators as per given numbers 8101/150, 3546/7680 is
GCF of Numerators i.e. for 8101,3546 is 1
LCM of denominators i.e. for 150,7680 is 38400.
Thus, GCF of Fractions is 1/38400.Finally, GCF of Fractions for 8101/150, 3546/7680 is 1/38400.