GCF of 3777/216, 9040/501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3777/216, 9040/501 i.e 1/36072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3777/216, 9040/501.
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 3777/216,9040/501?
Given fractions are 3777/216,9040/501
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 3777/216,9040/501, numerators are 3777,9040
Denominators are 216,501
The GCF of 3777,9040 is 1 .
LCM of 216,501 is 36072.
The greatest common factor of 3777/216,9040/501 = [GCF of 3777,9040]/[LCM of 216,501]= 1/36072
Therefore, the GCF of 3777/216,9040/501 is 1/36072.
To find the highest common factor of 3777,9040, we have to find the factors of both numbers and list the highest common factor.
The factors of 3777 are 1, 3, 1259, 3777
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The HCF of 3777,9040 is 1.
Lets's calculate GCF of 3777,9040
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3777,9040 By Matching Biggest Common Factor Method
Now, list down the factors of 3777
:1,3,1259,3777
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Greatest Common Factor
We found the factors 3777,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 3777,9040 is 1.
Lets's calculate LCM of 216,501
| 3 | 216, 501 |
| 72, 167 |
∴ So the LCM of the given numbers is 3 x 72 x 167 = 36072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36072
Therefore, the GCF of Fractions 3777/216,9040/501 is 1/36072
Least Common Multiple of 216,501 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 216,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,501) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(216,501) x common factors =3 x 1 = 3
LCM(216,501) = ( 216 × 501 ) / 3
LCM(216,501) = 108216 / 3
LCM(216,501) = 36072
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FAQs on GCF of Fractions of 3777/216, 9040/501
1. What is the HCF of 3777,9040?
The HCF of 3777,9040 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 3777/216, 9040/501?
Answer: GCF of Numerators as per given numbers 3777/216, 9040/501 is
GCF of Numerators i.e. for 3777,9040 is 1
LCM of denominators i.e. for 216,501 is 36072.
Thus, GCF of Fractions is 1/36072.Finally, GCF of Fractions for 3777/216, 9040/501 is 1/36072.