GCF of 6269/524, 3720/6991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6269/524, 3720/6991 i.e 1/3663284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6269/524, 3720/6991.
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 6269/524,3720/6991?
Given fractions are 6269/524,3720/6991
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 6269/524,3720/6991, numerators are 6269,3720
Denominators are 524,6991
The GCF of 6269,3720 is 1 .
LCM of 524,6991 is 3663284.
The greatest common factor of 6269/524,3720/6991 = [GCF of 6269,3720]/[LCM of 524,6991]= 1/3663284
Therefore, the GCF of 6269/524,3720/6991 is 1/3663284.
To find the highest common factor of 6269,3720, we have to find the factors of both numbers and list the highest common factor.
The factors of 6269 are 1, 6269
The factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720
The HCF of 6269,3720 is 1.
Lets's calculate GCF of 6269,3720
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6269,3720 By Matching Biggest Common Factor Method
Now, list down the factors of 6269
:1,6269
Now, list down the factors of 3720
:1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720
Greatest Common Factor
We found the factors 6269,3720 . The biggest common factor number is the GCF number.
So the greatest common factor 6269,3720 is 1.
Lets's calculate LCM of 524,6991
Given numbers has no common factors except 1. So, there LCM is their product i.e 3663284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3663284
Therefore, the GCF of Fractions 6269/524,3720/6991 is 1/3663284
Least Common Multiple of 524,6991 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 524,6991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,6991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(524,6991) x common factors =1 x 1 = 1
LCM(524,6991) = ( 524 × 6991 ) / 1
LCM(524,6991) = 3663284 / 1
LCM(524,6991) = 3663284
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FAQs on GCF of Fractions of 6269/524, 3720/6991
1. What is the HCF of 6269,3720?
The HCF of 6269,3720 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 6269/524, 3720/6991?
Answer: GCF of Numerators as per given numbers 6269/524, 3720/6991 is
GCF of Numerators i.e. for 6269,3720 is 1
LCM of denominators i.e. for 524,6991 is 3663284.
Thus, GCF of Fractions is 1/3663284.Finally, GCF of Fractions for 6269/524, 3720/6991 is 1/3663284.