GCF of 1695/365, 6340/194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1695/365, 6340/194 i.e 5/70810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1695/365, 6340/194.
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 1695/365,6340/194?
Given fractions are 1695/365,6340/194
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 1695/365,6340/194, numerators are 1695,6340
Denominators are 365,194
The GCF of 1695,6340 is 5 .
LCM of 365,194 is 70810.
The greatest common factor of 1695/365,6340/194 = [GCF of 1695,6340]/[LCM of 365,194]= 5/70810
Therefore, the GCF of 1695/365,6340/194 is 5/70810.
To find the highest common factor of 1695,6340, we have to find the factors of both numbers and list the highest common factor.
The factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695
The factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The HCF of 1695,6340 is 5.
Lets's calculate GCF of 1695,6340
| 5 | 1695, 6340 |
| 339, 1268 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1695,6340 By Matching Biggest Common Factor Method
Now, list down the factors of 1695
:1,3,5,15,113,339,565,1695
Now, list down the factors of 6340
:1,2,4,5,10,20,317,634,1268,1585,3170,6340
Greatest Common Factor
We found the factors 1695,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 1695,6340 is 5.
Lets's calculate LCM of 365,194
Given numbers has no common factors except 1. So, there LCM is their product i.e 70810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/70810
Therefore, the GCF of Fractions 1695/365,6340/194 is 5/70810
Least Common Multiple of 365,194 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 365,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,194) x common factors =1 x 1 = 1
LCM(365,194) = ( 365 × 194 ) / 1
LCM(365,194) = 70810 / 1
LCM(365,194) = 70810
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FAQs on GCF of Fractions of 1695/365, 6340/194
1. What is the HCF of 1695,6340?
The HCF of 1695,6340 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 1695/365, 6340/194?
Answer: GCF of Numerators as per given numbers 1695/365, 6340/194 is
GCF of Numerators i.e. for 1695,6340 is 5
LCM of denominators i.e. for 365,194 is 70810.
Thus, GCF of Fractions is 5/70810.Finally, GCF of Fractions for 1695/365, 6340/194 is 5/70810.