GCF of 15/695, 79/544, 843/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 15/695, 79/544, 843/377 i.e 1/142536160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/695, 79/544, 843/377.
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 15/695,79/544,843/377?
Given fractions are 15/695,79/544,843/377
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 15/695,79/544,843/377, numerators are 15,79,843
Denominators are 695,544,377
The GCF of 15,79,843 is 1 .
LCM of 695,544,377 is 142536160.
The greatest common factor of 15/695,79/544,843/377 = [GCF of 15,79,843]/[LCM of 695,544,377]= 1/142536160
Therefore, the GCF of 15/695,79/544,843/377 is 1/142536160.
To find the highest common factor of 15,79,843, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 79 are 1, 79
The factors of 843 are 1, 3, 281, 843
The HCF of 15,79,843 is 1.
Lets's calculate GCF of 15,79,843
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 15,79,843 By Matching Biggest Common Factor Method
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 79
:1,79
Now, list down the factors of 843
:1,3,281,843
Greatest Common Factor
We found the factors 15,79,843 . The biggest common factor number is the GCF number.
So the greatest common factor 15,79,843 is 1.
Lets's calculate LCM of 695,544,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 142536160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142536160
Therefore, the GCF of Fractions 15/695,79/544,843/377 is 1/142536160
Least Common Multiple of 695,544,377 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 695,544,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,544,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,544,377) x common factors =1 x 1 = 1
LCM(695,544,377) = ( 695 × 544 × 377 ) / 1
LCM(695,544,377) = 142536160 / 1
LCM(695,544,377) = 142536160
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FAQs on GCF of Fractions of 15/695, 79/544, 843/377
1. What is the HCF of 15,79,843?
The HCF of 15,79,843 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 15/695, 79/544, 843/377?
Answer: GCF of Numerators as per given numbers 15/695, 79/544, 843/377 is
GCF of Numerators i.e. for 15,79,843 is 1
LCM of denominators i.e. for 695,544,377 is 142536160.
Thus, GCF of Fractions is 1/142536160.Finally, GCF of Fractions for 15/695, 79/544, 843/377 is 1/142536160.