GCF of 5300/843, 7685/6722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5300/843, 7685/6722 i.e 265/5666646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5300/843, 7685/6722.
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 5300/843,7685/6722?
Given fractions are 5300/843,7685/6722
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 5300/843,7685/6722, numerators are 5300,7685
Denominators are 843,6722
The GCF of 5300,7685 is 265 .
LCM of 843,6722 is 5666646.
The greatest common factor of 5300/843,7685/6722 = [GCF of 5300,7685]/[LCM of 843,6722]= 265/5666646
Therefore, the GCF of 5300/843,7685/6722 is 265/5666646.
To find the highest common factor of 5300,7685, we have to find the factors of both numbers and list the highest common factor.
The factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300
The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685
The HCF of 5300,7685 is 265.
Lets's calculate GCF of 5300,7685
| 5 | 5300, 7685 |
| 53 | 1060, 1537 |
| 20, 29 |
∴ So the GCF of the given numbers is 5 x 53 = 265
Greatest Common Factor of 5300,7685 By Matching Biggest Common Factor Method
Now, list down the factors of 5300
:1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300
Now, list down the factors of 7685
:1,5,29,53,145,265,1537,7685
Greatest Common Factor
We found the factors 5300,7685 . The biggest common factor number is the GCF number.
So the greatest common factor 5300,7685 is 265.
Lets's calculate LCM of 843,6722
Given numbers has no common factors except 1. So, there LCM is their product i.e 5666646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 265/5666646
Therefore, the GCF of Fractions 5300/843,7685/6722 is 265/5666646
Least Common Multiple of 843,6722 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 843,6722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,6722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,6722) x common factors =1 x 1 = 1
LCM(843,6722) = ( 843 × 6722 ) / 1
LCM(843,6722) = 5666646 / 1
LCM(843,6722) = 5666646
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FAQs on GCF of Fractions of 5300/843, 7685/6722
1. What is the HCF of 5300,7685?
The HCF of 5300,7685 is 265
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 5300/843, 7685/6722?
Answer: GCF of Numerators as per given numbers 5300/843, 7685/6722 is
GCF of Numerators i.e. for 5300,7685 is 265
LCM of denominators i.e. for 843,6722 is 5666646.
Thus, GCF of Fractions is 265/5666646.Finally, GCF of Fractions for 5300/843, 7685/6722 is 265/5666646.