GCF of 2773/226, 2648/6762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2773/226, 2648/6762 i.e 1/764106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2773/226, 2648/6762.
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 2773/226,2648/6762?
Given fractions are 2773/226,2648/6762
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 2773/226,2648/6762, numerators are 2773,2648
Denominators are 226,6762
The GCF of 2773,2648 is 1 .
LCM of 226,6762 is 764106.
The greatest common factor of 2773/226,2648/6762 = [GCF of 2773,2648]/[LCM of 226,6762]= 1/764106
Therefore, the GCF of 2773/226,2648/6762 is 1/764106.
To find the highest common factor of 2773,2648, we have to find the factors of both numbers and list the highest common factor.
The factors of 2773 are 1, 47, 59, 2773
The factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648
The HCF of 2773,2648 is 1.
Lets's calculate GCF of 2773,2648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2773,2648 By Matching Biggest Common Factor Method
Now, list down the factors of 2773
:1,47,59,2773
Now, list down the factors of 2648
:1,2,4,8,331,662,1324,2648
Greatest Common Factor
We found the factors 2773,2648 . The biggest common factor number is the GCF number.
So the greatest common factor 2773,2648 is 1.
Lets's calculate LCM of 226,6762
| 2 | 226, 6762 |
| 113, 3381 |
∴ So the LCM of the given numbers is 2 x 113 x 3381 = 764106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/764106
Therefore, the GCF of Fractions 2773/226,2648/6762 is 1/764106
Least Common Multiple of 226,6762 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 226,6762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,6762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,6762) x common factors =2 x 1 = 2
LCM(226,6762) = ( 226 × 6762 ) / 2
LCM(226,6762) = 1528212 / 2
LCM(226,6762) = 764106
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FAQs on GCF of Fractions of 2773/226, 2648/6762
1. What is the HCF of 2773,2648?
The HCF of 2773,2648 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 2773/226, 2648/6762?
Answer: GCF of Numerators as per given numbers 2773/226, 2648/6762 is
GCF of Numerators i.e. for 2773,2648 is 1
LCM of denominators i.e. for 226,6762 is 764106.
Thus, GCF of Fractions is 1/764106.Finally, GCF of Fractions for 2773/226, 2648/6762 is 1/764106.