GCF of 3780/610, 9437/7817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3780/610, 9437/7817 i.e 1/4768370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3780/610, 9437/7817.
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 3780/610,9437/7817?
Given fractions are 3780/610,9437/7817
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 3780/610,9437/7817, numerators are 3780,9437
Denominators are 610,7817
The GCF of 3780,9437 is 1 .
LCM of 610,7817 is 4768370.
The greatest common factor of 3780/610,9437/7817 = [GCF of 3780,9437]/[LCM of 610,7817]= 1/4768370
Therefore, the GCF of 3780/610,9437/7817 is 1/4768370.
To find the highest common factor of 3780,9437, we have to find the factors of both numbers and list the highest common factor.
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The factors of 9437 are 1, 9437
The HCF of 3780,9437 is 1.
Lets's calculate GCF of 3780,9437
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3780,9437 By Matching Biggest Common Factor Method
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Now, list down the factors of 9437
:1,9437
Greatest Common Factor
We found the factors 3780,9437 . The biggest common factor number is the GCF number.
So the greatest common factor 3780,9437 is 1.
Lets's calculate LCM of 610,7817
Given numbers has no common factors except 1. So, there LCM is their product i.e 4768370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4768370
Therefore, the GCF of Fractions 3780/610,9437/7817 is 1/4768370
Least Common Multiple of 610,7817 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 610,7817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,7817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(610,7817) x common factors =1 x 1 = 1
LCM(610,7817) = ( 610 × 7817 ) / 1
LCM(610,7817) = 4768370 / 1
LCM(610,7817) = 4768370
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3780/610, 9437/7817
1. What is the HCF of 3780,9437?
The HCF of 3780,9437 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 3780/610, 9437/7817?
Answer: GCF of Numerators as per given numbers 3780/610, 9437/7817 is
GCF of Numerators i.e. for 3780,9437 is 1
LCM of denominators i.e. for 610,7817 is 4768370.
Thus, GCF of Fractions is 1/4768370.Finally, GCF of Fractions for 3780/610, 9437/7817 is 1/4768370.