GCF of 2649/556, 3316/5401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2649/556, 3316/5401 i.e 1/3002956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2649/556, 3316/5401.
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 2649/556,3316/5401?
Given fractions are 2649/556,3316/5401
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 2649/556,3316/5401, numerators are 2649,3316
Denominators are 556,5401
The GCF of 2649,3316 is 1 .
LCM of 556,5401 is 3002956.
The greatest common factor of 2649/556,3316/5401 = [GCF of 2649,3316]/[LCM of 556,5401]= 1/3002956
Therefore, the GCF of 2649/556,3316/5401 is 1/3002956.
To find the highest common factor of 2649,3316, we have to find the factors of both numbers and list the highest common factor.
The factors of 2649 are 1, 3, 883, 2649
The factors of 3316 are 1, 2, 4, 829, 1658, 3316
The HCF of 2649,3316 is 1.
Lets's calculate GCF of 2649,3316
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2649,3316 By Matching Biggest Common Factor Method
Now, list down the factors of 2649
:1,3,883,2649
Now, list down the factors of 3316
:1,2,4,829,1658,3316
Greatest Common Factor
We found the factors 2649,3316 . The biggest common factor number is the GCF number.
So the greatest common factor 2649,3316 is 1.
Lets's calculate LCM of 556,5401
Given numbers has no common factors except 1. So, there LCM is their product i.e 3002956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3002956
Therefore, the GCF of Fractions 2649/556,3316/5401 is 1/3002956
Least Common Multiple of 556,5401 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 556,5401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,5401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,5401) x common factors =1 x 1 = 1
LCM(556,5401) = ( 556 × 5401 ) / 1
LCM(556,5401) = 3002956 / 1
LCM(556,5401) = 3002956
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FAQs on GCF of Fractions of 2649/556, 3316/5401
1. What is the HCF of 2649,3316?
The HCF of 2649,3316 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 2649/556, 3316/5401?
Answer: GCF of Numerators as per given numbers 2649/556, 3316/5401 is
GCF of Numerators i.e. for 2649,3316 is 1
LCM of denominators i.e. for 556,5401 is 3002956.
Thus, GCF of Fractions is 1/3002956.Finally, GCF of Fractions for 2649/556, 3316/5401 is 1/3002956.