GCF of 6361/519, 9035/7105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6361/519, 9035/7105 i.e 1/3687495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6361/519, 9035/7105.
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 6361/519,9035/7105?
Given fractions are 6361/519,9035/7105
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 6361/519,9035/7105, numerators are 6361,9035
Denominators are 519,7105
The GCF of 6361,9035 is 1 .
LCM of 519,7105 is 3687495.
The greatest common factor of 6361/519,9035/7105 = [GCF of 6361,9035]/[LCM of 519,7105]= 1/3687495
Therefore, the GCF of 6361/519,9035/7105 is 1/3687495.
To find the highest common factor of 6361,9035, we have to find the factors of both numbers and list the highest common factor.
The factors of 6361 are 1, 6361
The factors of 9035 are 1, 5, 13, 65, 139, 695, 1807, 9035
The HCF of 6361,9035 is 1.
Lets's calculate GCF of 6361,9035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6361,9035 By Matching Biggest Common Factor Method
Now, list down the factors of 6361
:1,6361
Now, list down the factors of 9035
:1,5,13,65,139,695,1807,9035
Greatest Common Factor
We found the factors 6361,9035 . The biggest common factor number is the GCF number.
So the greatest common factor 6361,9035 is 1.
Lets's calculate LCM of 519,7105
Given numbers has no common factors except 1. So, there LCM is their product i.e 3687495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3687495
Therefore, the GCF of Fractions 6361/519,9035/7105 is 1/3687495
Least Common Multiple of 519,7105 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 519,7105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,7105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,7105) x common factors =1 x 1 = 1
LCM(519,7105) = ( 519 × 7105 ) / 1
LCM(519,7105) = 3687495 / 1
LCM(519,7105) = 3687495
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FAQs on GCF of Fractions of 6361/519, 9035/7105
1. What is the HCF of 6361,9035?
The HCF of 6361,9035 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 6361/519, 9035/7105?
Answer: GCF of Numerators as per given numbers 6361/519, 9035/7105 is
GCF of Numerators i.e. for 6361,9035 is 1
LCM of denominators i.e. for 519,7105 is 3687495.
Thus, GCF of Fractions is 1/3687495.Finally, GCF of Fractions for 6361/519, 9035/7105 is 1/3687495.