GCF of 2677/44, 9610/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2677/44, 9610/744 i.e 1/8184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2677/44, 9610/744.
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 2677/44,9610/744?
Given fractions are 2677/44,9610/744
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 2677/44,9610/744, numerators are 2677,9610
Denominators are 44,744
The GCF of 2677,9610 is 1 .
LCM of 44,744 is 8184.
The greatest common factor of 2677/44,9610/744 = [GCF of 2677,9610]/[LCM of 44,744]= 1/8184
Therefore, the GCF of 2677/44,9610/744 is 1/8184.
To find the highest common factor of 2677,9610, we have to find the factors of both numbers and list the highest common factor.
The factors of 2677 are 1, 2677
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The HCF of 2677,9610 is 1.
Lets's calculate GCF of 2677,9610
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2677,9610 By Matching Biggest Common Factor Method
Now, list down the factors of 2677
:1,2677
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Greatest Common Factor
We found the factors 2677,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 2677,9610 is 1.
Lets's calculate LCM of 44,744
| 2 | 44, 744 |
| 2 | 22, 372 |
| 11, 186 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 186 = 8184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8184
Therefore, the GCF of Fractions 2677/44,9610/744 is 1/8184
Least Common Multiple of 44,744 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 44,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,744) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(44,744) x common factors =4 x 1 = 4
LCM(44,744) = ( 44 × 744 ) / 4
LCM(44,744) = 32736 / 4
LCM(44,744) = 8184
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FAQs on GCF of Fractions of 2677/44, 9610/744
1. What is the HCF of 2677,9610?
The HCF of 2677,9610 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 2677/44, 9610/744?
Answer: GCF of Numerators as per given numbers 2677/44, 9610/744 is
GCF of Numerators i.e. for 2677,9610 is 1
LCM of denominators i.e. for 44,744 is 8184.
Thus, GCF of Fractions is 1/8184.Finally, GCF of Fractions for 2677/44, 9610/744 is 1/8184.