GCF of 3490/754, 5841/2689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3490/754, 5841/2689 i.e 1/2027506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3490/754, 5841/2689.
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 3490/754,5841/2689?
Given fractions are 3490/754,5841/2689
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 3490/754,5841/2689, numerators are 3490,5841
Denominators are 754,2689
The GCF of 3490,5841 is 1 .
LCM of 754,2689 is 2027506.
The greatest common factor of 3490/754,5841/2689 = [GCF of 3490,5841]/[LCM of 754,2689]= 1/2027506
Therefore, the GCF of 3490/754,5841/2689 is 1/2027506.
To find the highest common factor of 3490,5841, we have to find the factors of both numbers and list the highest common factor.
The factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490
The factors of 5841 are 1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841
The HCF of 3490,5841 is 1.
Lets's calculate GCF of 3490,5841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3490,5841 By Matching Biggest Common Factor Method
Now, list down the factors of 3490
:1,2,5,10,349,698,1745,3490
Now, list down the factors of 5841
:1,3,9,11,33,59,99,177,531,649,1947,5841
Greatest Common Factor
We found the factors 3490,5841 . The biggest common factor number is the GCF number.
So the greatest common factor 3490,5841 is 1.
Lets's calculate LCM of 754,2689
Given numbers has no common factors except 1. So, there LCM is their product i.e 2027506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2027506
Therefore, the GCF of Fractions 3490/754,5841/2689 is 1/2027506
Least Common Multiple of 754,2689 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 754,2689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,2689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(754,2689) x common factors =1 x 1 = 1
LCM(754,2689) = ( 754 × 2689 ) / 1
LCM(754,2689) = 2027506 / 1
LCM(754,2689) = 2027506
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FAQs on GCF of Fractions of 3490/754, 5841/2689
1. What is the HCF of 3490,5841?
The HCF of 3490,5841 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 3490/754, 5841/2689?
Answer: GCF of Numerators as per given numbers 3490/754, 5841/2689 is
GCF of Numerators i.e. for 3490,5841 is 1
LCM of denominators i.e. for 754,2689 is 2027506.
Thus, GCF of Fractions is 1/2027506.Finally, GCF of Fractions for 3490/754, 5841/2689 is 1/2027506.