GCF of 2611/733, 6458/1956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2611/733, 6458/1956 i.e 1/1433748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2611/733, 6458/1956.
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 2611/733,6458/1956?
Given fractions are 2611/733,6458/1956
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 2611/733,6458/1956, numerators are 2611,6458
Denominators are 733,1956
The GCF of 2611,6458 is 1 .
LCM of 733,1956 is 1433748.
The greatest common factor of 2611/733,6458/1956 = [GCF of 2611,6458]/[LCM of 733,1956]= 1/1433748
Therefore, the GCF of 2611/733,6458/1956 is 1/1433748.
To find the highest common factor of 2611,6458, we have to find the factors of both numbers and list the highest common factor.
The factors of 2611 are 1, 7, 373, 2611
The factors of 6458 are 1, 2, 3229, 6458
The HCF of 2611,6458 is 1.
Lets's calculate GCF of 2611,6458
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2611,6458 By Matching Biggest Common Factor Method
Now, list down the factors of 2611
:1,7,373,2611
Now, list down the factors of 6458
:1,2,3229,6458
Greatest Common Factor
We found the factors 2611,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 2611,6458 is 1.
Lets's calculate LCM of 733,1956
Given numbers has no common factors except 1. So, there LCM is their product i.e 1433748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1433748
Therefore, the GCF of Fractions 2611/733,6458/1956 is 1/1433748
Least Common Multiple of 733,1956 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 733,1956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,1956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,1956) x common factors =1 x 1 = 1
LCM(733,1956) = ( 733 × 1956 ) / 1
LCM(733,1956) = 1433748 / 1
LCM(733,1956) = 1433748
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FAQs on GCF of Fractions of 2611/733, 6458/1956
1. What is the HCF of 2611,6458?
The HCF of 2611,6458 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 2611/733, 6458/1956?
Answer: GCF of Numerators as per given numbers 2611/733, 6458/1956 is
GCF of Numerators i.e. for 2611,6458 is 1
LCM of denominators i.e. for 733,1956 is 1433748.
Thus, GCF of Fractions is 1/1433748.Finally, GCF of Fractions for 2611/733, 6458/1956 is 1/1433748.