GCF of 3690/427, 4069/8339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3690/427, 4069/8339 i.e 1/3560753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3690/427, 4069/8339.
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 3690/427,4069/8339?
Given fractions are 3690/427,4069/8339
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 3690/427,4069/8339, numerators are 3690,4069
Denominators are 427,8339
The GCF of 3690,4069 is 1 .
LCM of 427,8339 is 3560753.
The greatest common factor of 3690/427,4069/8339 = [GCF of 3690,4069]/[LCM of 427,8339]= 1/3560753
Therefore, the GCF of 3690/427,4069/8339 is 1/3560753.
To find the highest common factor of 3690,4069, we have to find the factors of both numbers and list the highest common factor.
The factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690
The factors of 4069 are 1, 13, 313, 4069
The HCF of 3690,4069 is 1.
Lets's calculate GCF of 3690,4069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3690,4069 By Matching Biggest Common Factor Method
Now, list down the factors of 3690
:1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690
Now, list down the factors of 4069
:1,13,313,4069
Greatest Common Factor
We found the factors 3690,4069 . The biggest common factor number is the GCF number.
So the greatest common factor 3690,4069 is 1.
Lets's calculate LCM of 427,8339
Given numbers has no common factors except 1. So, there LCM is their product i.e 3560753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3560753
Therefore, the GCF of Fractions 3690/427,4069/8339 is 1/3560753
Least Common Multiple of 427,8339 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 427,8339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,8339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,8339) x common factors =1 x 1 = 1
LCM(427,8339) = ( 427 × 8339 ) / 1
LCM(427,8339) = 3560753 / 1
LCM(427,8339) = 3560753
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FAQs on GCF of Fractions of 3690/427, 4069/8339
1. What is the HCF of 3690,4069?
The HCF of 3690,4069 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 3690/427, 4069/8339?
Answer: GCF of Numerators as per given numbers 3690/427, 4069/8339 is
GCF of Numerators i.e. for 3690,4069 is 1
LCM of denominators i.e. for 427,8339 is 3560753.
Thus, GCF of Fractions is 1/3560753.Finally, GCF of Fractions for 3690/427, 4069/8339 is 1/3560753.