GCF of 7699/415, 8520/6562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7699/415, 8520/6562 i.e 1/2723230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7699/415, 8520/6562.
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 7699/415,8520/6562?
Given fractions are 7699/415,8520/6562
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 7699/415,8520/6562, numerators are 7699,8520
Denominators are 415,6562
The GCF of 7699,8520 is 1 .
LCM of 415,6562 is 2723230.
The greatest common factor of 7699/415,8520/6562 = [GCF of 7699,8520]/[LCM of 415,6562]= 1/2723230
Therefore, the GCF of 7699/415,8520/6562 is 1/2723230.
To find the highest common factor of 7699,8520, we have to find the factors of both numbers and list the highest common factor.
The factors of 7699 are 1, 7699
The factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520
The HCF of 7699,8520 is 1.
Lets's calculate GCF of 7699,8520
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7699,8520 By Matching Biggest Common Factor Method
Now, list down the factors of 7699
:1,7699
Now, list down the factors of 8520
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520
Greatest Common Factor
We found the factors 7699,8520 . The biggest common factor number is the GCF number.
So the greatest common factor 7699,8520 is 1.
Lets's calculate LCM of 415,6562
Given numbers has no common factors except 1. So, there LCM is their product i.e 2723230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2723230
Therefore, the GCF of Fractions 7699/415,8520/6562 is 1/2723230
Least Common Multiple of 415,6562 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 415,6562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,6562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,6562) x common factors =1 x 1 = 1
LCM(415,6562) = ( 415 × 6562 ) / 1
LCM(415,6562) = 2723230 / 1
LCM(415,6562) = 2723230
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FAQs on GCF of Fractions of 7699/415, 8520/6562
1. What is the HCF of 7699,8520?
The HCF of 7699,8520 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 7699/415, 8520/6562?
Answer: GCF of Numerators as per given numbers 7699/415, 8520/6562 is
GCF of Numerators i.e. for 7699,8520 is 1
LCM of denominators i.e. for 415,6562 is 2723230.
Thus, GCF of Fractions is 1/2723230.Finally, GCF of Fractions for 7699/415, 8520/6562 is 1/2723230.