GCF of 6205/514, 7619/8812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6205/514, 7619/8812 i.e 1/2264684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6205/514, 7619/8812.
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 6205/514,7619/8812?
Given fractions are 6205/514,7619/8812
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 6205/514,7619/8812, numerators are 6205,7619
Denominators are 514,8812
The GCF of 6205,7619 is 1 .
LCM of 514,8812 is 2264684.
The greatest common factor of 6205/514,7619/8812 = [GCF of 6205,7619]/[LCM of 514,8812]= 1/2264684
Therefore, the GCF of 6205/514,7619/8812 is 1/2264684.
To find the highest common factor of 6205,7619, we have to find the factors of both numbers and list the highest common factor.
The factors of 6205 are 1, 5, 17, 73, 85, 365, 1241, 6205
The factors of 7619 are 1, 19, 401, 7619
The HCF of 6205,7619 is 1.
Lets's calculate GCF of 6205,7619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6205,7619 By Matching Biggest Common Factor Method
Now, list down the factors of 6205
:1,5,17,73,85,365,1241,6205
Now, list down the factors of 7619
:1,19,401,7619
Greatest Common Factor
We found the factors 6205,7619 . The biggest common factor number is the GCF number.
So the greatest common factor 6205,7619 is 1.
Lets's calculate LCM of 514,8812
| 2 | 514, 8812 |
| 257, 4406 |
∴ So the LCM of the given numbers is 2 x 257 x 4406 = 2264684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2264684
Therefore, the GCF of Fractions 6205/514,7619/8812 is 1/2264684
Least Common Multiple of 514,8812 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 514,8812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,8812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,8812) x common factors =2 x 1 = 2
LCM(514,8812) = ( 514 × 8812 ) / 2
LCM(514,8812) = 4529368 / 2
LCM(514,8812) = 2264684
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FAQs on GCF of Fractions of 6205/514, 7619/8812
1. What is the HCF of 6205,7619?
The HCF of 6205,7619 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 6205/514, 7619/8812?
Answer: GCF of Numerators as per given numbers 6205/514, 7619/8812 is
GCF of Numerators i.e. for 6205,7619 is 1
LCM of denominators i.e. for 514,8812 is 2264684.
Thus, GCF of Fractions is 1/2264684.Finally, GCF of Fractions for 6205/514, 7619/8812 is 1/2264684.