GCF of 7420/307, 2614/2605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7420/307, 2614/2605 i.e 2/799735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7420/307, 2614/2605.
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 7420/307,2614/2605?
Given fractions are 7420/307,2614/2605
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 7420/307,2614/2605, numerators are 7420,2614
Denominators are 307,2605
The GCF of 7420,2614 is 2 .
LCM of 307,2605 is 799735.
The greatest common factor of 7420/307,2614/2605 = [GCF of 7420,2614]/[LCM of 307,2605]= 2/799735
Therefore, the GCF of 7420/307,2614/2605 is 2/799735.
To find the highest common factor of 7420,2614, we have to find the factors of both numbers and list the highest common factor.
The factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420
The factors of 2614 are 1, 2, 1307, 2614
The HCF of 7420,2614 is 2.
Lets's calculate GCF of 7420,2614
| 2 | 7420, 2614 |
| 3710, 1307 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7420,2614 By Matching Biggest Common Factor Method
Now, list down the factors of 7420
:1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420
Now, list down the factors of 2614
:1,2,1307,2614
Greatest Common Factor
We found the factors 7420,2614 . The biggest common factor number is the GCF number.
So the greatest common factor 7420,2614 is 2.
Lets's calculate LCM of 307,2605
Given numbers has no common factors except 1. So, there LCM is their product i.e 799735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/799735
Therefore, the GCF of Fractions 7420/307,2614/2605 is 2/799735
Least Common Multiple of 307,2605 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 307,2605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,2605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,2605) x common factors =1 x 1 = 1
LCM(307,2605) = ( 307 × 2605 ) / 1
LCM(307,2605) = 799735 / 1
LCM(307,2605) = 799735
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FAQs on GCF of Fractions of 7420/307, 2614/2605
1. What is the HCF of 7420,2614?
The HCF of 7420,2614 is 2
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 7420/307, 2614/2605?
Answer: GCF of Numerators as per given numbers 7420/307, 2614/2605 is
GCF of Numerators i.e. for 7420,2614 is 2
LCM of denominators i.e. for 307,2605 is 799735.
Thus, GCF of Fractions is 2/799735.Finally, GCF of Fractions for 7420/307, 2614/2605 is 2/799735.