GCF of 8455/654, 9095/6488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8455/654, 9095/6488 i.e 5/2121576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8455/654, 9095/6488.
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 8455/654,9095/6488?
Given fractions are 8455/654,9095/6488
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 8455/654,9095/6488, numerators are 8455,9095
Denominators are 654,6488
The GCF of 8455,9095 is 5 .
LCM of 654,6488 is 2121576.
The greatest common factor of 8455/654,9095/6488 = [GCF of 8455,9095]/[LCM of 654,6488]= 5/2121576
Therefore, the GCF of 8455/654,9095/6488 is 5/2121576.
To find the highest common factor of 8455,9095, we have to find the factors of both numbers and list the highest common factor.
The factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455
The factors of 9095 are 1, 5, 17, 85, 107, 535, 1819, 9095
The HCF of 8455,9095 is 5.
Lets's calculate GCF of 8455,9095
| 5 | 8455, 9095 |
| 1691, 1819 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8455,9095 By Matching Biggest Common Factor Method
Now, list down the factors of 8455
:1,5,19,89,95,445,1691,8455
Now, list down the factors of 9095
:1,5,17,85,107,535,1819,9095
Greatest Common Factor
We found the factors 8455,9095 . The biggest common factor number is the GCF number.
So the greatest common factor 8455,9095 is 5.
Lets's calculate LCM of 654,6488
| 2 | 654, 6488 |
| 327, 3244 |
∴ So the LCM of the given numbers is 2 x 327 x 3244 = 2121576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2121576
Therefore, the GCF of Fractions 8455/654,9095/6488 is 5/2121576
Least Common Multiple of 654,6488 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 654,6488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,6488) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,6488) x common factors =2 x 1 = 2
LCM(654,6488) = ( 654 × 6488 ) / 2
LCM(654,6488) = 4243152 / 2
LCM(654,6488) = 2121576
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FAQs on GCF of Fractions of 8455/654, 9095/6488
1. What is the HCF of 8455,9095?
The HCF of 8455,9095 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 8455/654, 9095/6488?
Answer: GCF of Numerators as per given numbers 8455/654, 9095/6488 is
GCF of Numerators i.e. for 8455,9095 is 5
LCM of denominators i.e. for 654,6488 is 2121576.
Thus, GCF of Fractions is 5/2121576.Finally, GCF of Fractions for 8455/654, 9095/6488 is 5/2121576.