GCF of 2629/597, 4884/3076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2629/597, 4884/3076 i.e 11/1836372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2629/597, 4884/3076.
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 2629/597,4884/3076?
Given fractions are 2629/597,4884/3076
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 2629/597,4884/3076, numerators are 2629,4884
Denominators are 597,3076
The GCF of 2629,4884 is 11 .
LCM of 597,3076 is 1836372.
The greatest common factor of 2629/597,4884/3076 = [GCF of 2629,4884]/[LCM of 597,3076]= 11/1836372
Therefore, the GCF of 2629/597,4884/3076 is 11/1836372.
To find the highest common factor of 2629,4884, we have to find the factors of both numbers and list the highest common factor.
The factors of 2629 are 1, 11, 239, 2629
The factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884
The HCF of 2629,4884 is 11.
Lets's calculate GCF of 2629,4884
| 11 | 2629, 4884 |
| 239, 444 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2629,4884 By Matching Biggest Common Factor Method
Now, list down the factors of 2629
:1,11,239,2629
Now, list down the factors of 4884
:1,2,3,4,6,11,12,22,33,37,44,66,74,111,132,148,222,407,444,814,1221,1628,2442,4884
Greatest Common Factor
We found the factors 2629,4884 . The biggest common factor number is the GCF number.
So the greatest common factor 2629,4884 is 11.
Lets's calculate LCM of 597,3076
Given numbers has no common factors except 1. So, there LCM is their product i.e 1836372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1836372
Therefore, the GCF of Fractions 2629/597,4884/3076 is 11/1836372
Least Common Multiple of 597,3076 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 597,3076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,3076) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,3076) x common factors =1 x 1 = 1
LCM(597,3076) = ( 597 × 3076 ) / 1
LCM(597,3076) = 1836372 / 1
LCM(597,3076) = 1836372
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FAQs on GCF of Fractions of 2629/597, 4884/3076
1. What is the HCF of 2629,4884?
The HCF of 2629,4884 is 11
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 2629/597, 4884/3076?
Answer: GCF of Numerators as per given numbers 2629/597, 4884/3076 is
GCF of Numerators i.e. for 2629,4884 is 11
LCM of denominators i.e. for 597,3076 is 1836372.
Thus, GCF of Fractions is 11/1836372.Finally, GCF of Fractions for 2629/597, 4884/3076 is 11/1836372.