GCF of 2616/754, 2396/2809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2616/754, 2396/2809 i.e 4/2117986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2616/754, 2396/2809.
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 2616/754,2396/2809?
Given fractions are 2616/754,2396/2809
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 2616/754,2396/2809, numerators are 2616,2396
Denominators are 754,2809
The GCF of 2616,2396 is 4 .
LCM of 754,2809 is 2117986.
The greatest common factor of 2616/754,2396/2809 = [GCF of 2616,2396]/[LCM of 754,2809]= 4/2117986
Therefore, the GCF of 2616/754,2396/2809 is 4/2117986.
To find the highest common factor of 2616,2396, we have to find the factors of both numbers and list the highest common factor.
The factors of 2616 are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616
The factors of 2396 are 1, 2, 4, 599, 1198, 2396
The HCF of 2616,2396 is 4.
Lets's calculate GCF of 2616,2396
| 2 | 2616, 2396 |
| 2 | 1308, 1198 |
| 654, 599 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2616,2396 By Matching Biggest Common Factor Method
Now, list down the factors of 2616
:1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616
Now, list down the factors of 2396
:1,2,4,599,1198,2396
Greatest Common Factor
We found the factors 2616,2396 . The biggest common factor number is the GCF number.
So the greatest common factor 2616,2396 is 4.
Lets's calculate LCM of 754,2809
Given numbers has no common factors except 1. So, there LCM is their product i.e 2117986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2117986
Therefore, the GCF of Fractions 2616/754,2396/2809 is 4/2117986
Least Common Multiple of 754,2809 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 754,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,2809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(754,2809) x common factors =1 x 1 = 1
LCM(754,2809) = ( 754 × 2809 ) / 1
LCM(754,2809) = 2117986 / 1
LCM(754,2809) = 2117986
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FAQs on GCF of Fractions of 2616/754, 2396/2809
1. What is the HCF of 2616,2396?
The HCF of 2616,2396 is 4
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 2616/754, 2396/2809?
Answer: GCF of Numerators as per given numbers 2616/754, 2396/2809 is
GCF of Numerators i.e. for 2616,2396 is 4
LCM of denominators i.e. for 754,2809 is 2117986.
Thus, GCF of Fractions is 4/2117986.Finally, GCF of Fractions for 2616/754, 2396/2809 is 4/2117986.