GCF of 1504/939, 4105/713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1504/939, 4105/713 i.e 1/669507 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1504/939, 4105/713.
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 1504/939,4105/713?
Given fractions are 1504/939,4105/713
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 1504/939,4105/713, numerators are 1504,4105
Denominators are 939,713
The GCF of 1504,4105 is 1 .
LCM of 939,713 is 669507.
The greatest common factor of 1504/939,4105/713 = [GCF of 1504,4105]/[LCM of 939,713]= 1/669507
Therefore, the GCF of 1504/939,4105/713 is 1/669507.
To find the highest common factor of 1504,4105, we have to find the factors of both numbers and list the highest common factor.
The factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
The factors of 4105 are 1, 5, 821, 4105
The HCF of 1504,4105 is 1.
Lets's calculate GCF of 1504,4105
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1504,4105 By Matching Biggest Common Factor Method
Now, list down the factors of 1504
:1,2,4,8,16,32,47,94,188,376,752,1504
Now, list down the factors of 4105
:1,5,821,4105
Greatest Common Factor
We found the factors 1504,4105 . The biggest common factor number is the GCF number.
So the greatest common factor 1504,4105 is 1.
Lets's calculate LCM of 939,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 669507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/669507
Therefore, the GCF of Fractions 1504/939,4105/713 is 1/669507
Least Common Multiple of 939,713 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 939,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,713) x common factors =1 x 1 = 1
LCM(939,713) = ( 939 × 713 ) / 1
LCM(939,713) = 669507 / 1
LCM(939,713) = 669507
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FAQs on GCF of Fractions of 1504/939, 4105/713
1. What is the HCF of 1504,4105?
The HCF of 1504,4105 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 1504/939, 4105/713?
Answer: GCF of Numerators as per given numbers 1504/939, 4105/713 is
GCF of Numerators i.e. for 1504,4105 is 1
LCM of denominators i.e. for 939,713 is 669507.
Thus, GCF of Fractions is 1/669507.Finally, GCF of Fractions for 1504/939, 4105/713 is 1/669507.