GCF of 8595/629, 6100/3391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8595/629, 6100/3391 i.e 5/2132939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8595/629, 6100/3391.
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 8595/629,6100/3391?
Given fractions are 8595/629,6100/3391
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 8595/629,6100/3391, numerators are 8595,6100
Denominators are 629,3391
The GCF of 8595,6100 is 5 .
LCM of 629,3391 is 2132939.
The greatest common factor of 8595/629,6100/3391 = [GCF of 8595,6100]/[LCM of 629,3391]= 5/2132939
Therefore, the GCF of 8595/629,6100/3391 is 5/2132939.
To find the highest common factor of 8595,6100, we have to find the factors of both numbers and list the highest common factor.
The factors of 8595 are 1, 3, 5, 9, 15, 45, 191, 573, 955, 1719, 2865, 8595
The factors of 6100 are 1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100
The HCF of 8595,6100 is 5.
Lets's calculate GCF of 8595,6100
| 5 | 8595, 6100 |
| 1719, 1220 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8595,6100 By Matching Biggest Common Factor Method
Now, list down the factors of 8595
:1,3,5,9,15,45,191,573,955,1719,2865,8595
Now, list down the factors of 6100
:1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100
Greatest Common Factor
We found the factors 8595,6100 . The biggest common factor number is the GCF number.
So the greatest common factor 8595,6100 is 5.
Lets's calculate LCM of 629,3391
Given numbers has no common factors except 1. So, there LCM is their product i.e 2132939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2132939
Therefore, the GCF of Fractions 8595/629,6100/3391 is 5/2132939
Least Common Multiple of 629,3391 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 629,3391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,3391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,3391) x common factors =1 x 1 = 1
LCM(629,3391) = ( 629 × 3391 ) / 1
LCM(629,3391) = 2132939 / 1
LCM(629,3391) = 2132939
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FAQs on GCF of Fractions of 8595/629, 6100/3391
1. What is the HCF of 8595,6100?
The HCF of 8595,6100 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 8595/629, 6100/3391?
Answer: GCF of Numerators as per given numbers 8595/629, 6100/3391 is
GCF of Numerators i.e. for 8595,6100 is 5
LCM of denominators i.e. for 629,3391 is 2132939.
Thus, GCF of Fractions is 5/2132939.Finally, GCF of Fractions for 8595/629, 6100/3391 is 5/2132939.