GCF of 6602/623, 7689/5213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6602/623, 7689/5213 i.e 1/3247699 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6602/623, 7689/5213.
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 6602/623,7689/5213?
Given fractions are 6602/623,7689/5213
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 6602/623,7689/5213, numerators are 6602,7689
Denominators are 623,5213
The GCF of 6602,7689 is 1 .
LCM of 623,5213 is 3247699.
The greatest common factor of 6602/623,7689/5213 = [GCF of 6602,7689]/[LCM of 623,5213]= 1/3247699
Therefore, the GCF of 6602/623,7689/5213 is 1/3247699.
To find the highest common factor of 6602,7689, we have to find the factors of both numbers and list the highest common factor.
The factors of 6602 are 1, 2, 3301, 6602
The factors of 7689 are 1, 3, 11, 33, 233, 699, 2563, 7689
The HCF of 6602,7689 is 1.
Lets's calculate GCF of 6602,7689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6602,7689 By Matching Biggest Common Factor Method
Now, list down the factors of 6602
:1,2,3301,6602
Now, list down the factors of 7689
:1,3,11,33,233,699,2563,7689
Greatest Common Factor
We found the factors 6602,7689 . The biggest common factor number is the GCF number.
So the greatest common factor 6602,7689 is 1.
Lets's calculate LCM of 623,5213
Given numbers has no common factors except 1. So, there LCM is their product i.e 3247699
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3247699
Therefore, the GCF of Fractions 6602/623,7689/5213 is 1/3247699
Least Common Multiple of 623,5213 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 623,5213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,5213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,5213) x common factors =1 x 1 = 1
LCM(623,5213) = ( 623 × 5213 ) / 1
LCM(623,5213) = 3247699 / 1
LCM(623,5213) = 3247699
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FAQs on GCF of Fractions of 6602/623, 7689/5213
1. What is the HCF of 6602,7689?
The HCF of 6602,7689 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 6602/623, 7689/5213?
Answer: GCF of Numerators as per given numbers 6602/623, 7689/5213 is
GCF of Numerators i.e. for 6602,7689 is 1
LCM of denominators i.e. for 623,5213 is 3247699.
Thus, GCF of Fractions is 1/3247699.Finally, GCF of Fractions for 6602/623, 7689/5213 is 1/3247699.