GCF of 1735/647, 1678/795
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1735/647, 1678/795 i.e 1/514365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1735/647, 1678/795.
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 1735/647,1678/795?
Given fractions are 1735/647,1678/795
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 1735/647,1678/795, numerators are 1735,1678
Denominators are 647,795
The GCF of 1735,1678 is 1 .
LCM of 647,795 is 514365.
The greatest common factor of 1735/647,1678/795 = [GCF of 1735,1678]/[LCM of 647,795]= 1/514365
Therefore, the GCF of 1735/647,1678/795 is 1/514365.
To find the highest common factor of 1735,1678, we have to find the factors of both numbers and list the highest common factor.
The factors of 1735 are 1, 5, 347, 1735
The factors of 1678 are 1, 2, 839, 1678
The HCF of 1735,1678 is 1.
Lets's calculate GCF of 1735,1678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1735,1678 By Matching Biggest Common Factor Method
Now, list down the factors of 1735
:1,5,347,1735
Now, list down the factors of 1678
:1,2,839,1678
Greatest Common Factor
We found the factors 1735,1678 . The biggest common factor number is the GCF number.
So the greatest common factor 1735,1678 is 1.
Lets's calculate LCM of 647,795
Given numbers has no common factors except 1. So, there LCM is their product i.e 514365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/514365
Therefore, the GCF of Fractions 1735/647,1678/795 is 1/514365
Least Common Multiple of 647,795 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 647,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,795) x common factors =1 x 1 = 1
LCM(647,795) = ( 647 × 795 ) / 1
LCM(647,795) = 514365 / 1
LCM(647,795) = 514365
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1735/647, 1678/795
1. What is the HCF of 1735,1678?
The HCF of 1735,1678 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 1735/647, 1678/795?
Answer: GCF of Numerators as per given numbers 1735/647, 1678/795 is
GCF of Numerators i.e. for 1735,1678 is 1
LCM of denominators i.e. for 647,795 is 514365.
Thus, GCF of Fractions is 1/514365.Finally, GCF of Fractions for 1735/647, 1678/795 is 1/514365.