GCF of 3817/569, 6360/494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3817/569, 6360/494 i.e 1/281086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3817/569, 6360/494.
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 3817/569,6360/494?
Given fractions are 3817/569,6360/494
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 3817/569,6360/494, numerators are 3817,6360
Denominators are 569,494
The GCF of 3817,6360 is 1 .
LCM of 569,494 is 281086.
The greatest common factor of 3817/569,6360/494 = [GCF of 3817,6360]/[LCM of 569,494]= 1/281086
Therefore, the GCF of 3817/569,6360/494 is 1/281086.
To find the highest common factor of 3817,6360, we have to find the factors of both numbers and list the highest common factor.
The factors of 3817 are 1, 11, 347, 3817
The factors of 6360 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360
The HCF of 3817,6360 is 1.
Lets's calculate GCF of 3817,6360
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3817,6360 By Matching Biggest Common Factor Method
Now, list down the factors of 3817
:1,11,347,3817
Now, list down the factors of 6360
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360
Greatest Common Factor
We found the factors 3817,6360 . The biggest common factor number is the GCF number.
So the greatest common factor 3817,6360 is 1.
Lets's calculate LCM of 569,494
Given numbers has no common factors except 1. So, there LCM is their product i.e 281086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281086
Therefore, the GCF of Fractions 3817/569,6360/494 is 1/281086
Least Common Multiple of 569,494 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 569,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,494) x common factors =1 x 1 = 1
LCM(569,494) = ( 569 × 494 ) / 1
LCM(569,494) = 281086 / 1
LCM(569,494) = 281086
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FAQs on GCF of Fractions of 3817/569, 6360/494
1. What is the HCF of 3817,6360?
The HCF of 3817,6360 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 3817/569, 6360/494?
Answer: GCF of Numerators as per given numbers 3817/569, 6360/494 is
GCF of Numerators i.e. for 3817,6360 is 1
LCM of denominators i.e. for 569,494 is 281086.
Thus, GCF of Fractions is 1/281086.Finally, GCF of Fractions for 3817/569, 6360/494 is 1/281086.