GCF of 1741/602, 6458/1707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1741/602, 6458/1707 i.e 1/1027614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1741/602, 6458/1707.
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 1741/602,6458/1707?
Given fractions are 1741/602,6458/1707
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 1741/602,6458/1707, numerators are 1741,6458
Denominators are 602,1707
The GCF of 1741,6458 is 1 .
LCM of 602,1707 is 1027614.
The greatest common factor of 1741/602,6458/1707 = [GCF of 1741,6458]/[LCM of 602,1707]= 1/1027614
Therefore, the GCF of 1741/602,6458/1707 is 1/1027614.
To find the highest common factor of 1741,6458, we have to find the factors of both numbers and list the highest common factor.
The factors of 1741 are 1, 1741
The factors of 6458 are 1, 2, 3229, 6458
The HCF of 1741,6458 is 1.
Lets's calculate GCF of 1741,6458
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1741,6458 By Matching Biggest Common Factor Method
Now, list down the factors of 1741
:1,1741
Now, list down the factors of 6458
:1,2,3229,6458
Greatest Common Factor
We found the factors 1741,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 1741,6458 is 1.
Lets's calculate LCM of 602,1707
Given numbers has no common factors except 1. So, there LCM is their product i.e 1027614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1027614
Therefore, the GCF of Fractions 1741/602,6458/1707 is 1/1027614
Least Common Multiple of 602,1707 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 602,1707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,1707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(602,1707) x common factors =1 x 1 = 1
LCM(602,1707) = ( 602 × 1707 ) / 1
LCM(602,1707) = 1027614 / 1
LCM(602,1707) = 1027614
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1741/602, 6458/1707
1. What is the HCF of 1741,6458?
The HCF of 1741,6458 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 1741/602, 6458/1707?
Answer: GCF of Numerators as per given numbers 1741/602, 6458/1707 is
GCF of Numerators i.e. for 1741,6458 is 1
LCM of denominators i.e. for 602,1707 is 1027614.
Thus, GCF of Fractions is 1/1027614.Finally, GCF of Fractions for 1741/602, 6458/1707 is 1/1027614.