GCF of 3501/719, 3688/5459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3501/719, 3688/5459 i.e 1/3925021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3501/719, 3688/5459.
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 3501/719,3688/5459?
Given fractions are 3501/719,3688/5459
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 3501/719,3688/5459, numerators are 3501,3688
Denominators are 719,5459
The GCF of 3501,3688 is 1 .
LCM of 719,5459 is 3925021.
The greatest common factor of 3501/719,3688/5459 = [GCF of 3501,3688]/[LCM of 719,5459]= 1/3925021
Therefore, the GCF of 3501/719,3688/5459 is 1/3925021.
To find the highest common factor of 3501,3688, we have to find the factors of both numbers and list the highest common factor.
The factors of 3501 are 1, 3, 9, 389, 1167, 3501
The factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688
The HCF of 3501,3688 is 1.
Lets's calculate GCF of 3501,3688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3501,3688 By Matching Biggest Common Factor Method
Now, list down the factors of 3501
:1,3,9,389,1167,3501
Now, list down the factors of 3688
:1,2,4,8,461,922,1844,3688
Greatest Common Factor
We found the factors 3501,3688 . The biggest common factor number is the GCF number.
So the greatest common factor 3501,3688 is 1.
Lets's calculate LCM of 719,5459
Given numbers has no common factors except 1. So, there LCM is their product i.e 3925021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3925021
Therefore, the GCF of Fractions 3501/719,3688/5459 is 1/3925021
Least Common Multiple of 719,5459 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 719,5459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,5459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,5459) x common factors =1 x 1 = 1
LCM(719,5459) = ( 719 × 5459 ) / 1
LCM(719,5459) = 3925021 / 1
LCM(719,5459) = 3925021
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FAQs on GCF of Fractions of 3501/719, 3688/5459
1. What is the HCF of 3501,3688?
The HCF of 3501,3688 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 3501/719, 3688/5459?
Answer: GCF of Numerators as per given numbers 3501/719, 3688/5459 is
GCF of Numerators i.e. for 3501,3688 is 1
LCM of denominators i.e. for 719,5459 is 3925021.
Thus, GCF of Fractions is 1/3925021.Finally, GCF of Fractions for 3501/719, 3688/5459 is 1/3925021.