GCF of 3762/347, 8730/6820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3762/347, 8730/6820 i.e 18/2366540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3762/347, 8730/6820.
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 3762/347,8730/6820?
Given fractions are 3762/347,8730/6820
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 3762/347,8730/6820, numerators are 3762,8730
Denominators are 347,6820
The GCF of 3762,8730 is 18 .
LCM of 347,6820 is 2366540.
The greatest common factor of 3762/347,8730/6820 = [GCF of 3762,8730]/[LCM of 347,6820]= 18/2366540
Therefore, the GCF of 3762/347,8730/6820 is 18/2366540.
To find the highest common factor of 3762,8730, we have to find the factors of both numbers and list the highest common factor.
The factors of 3762 are 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762
The factors of 8730 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730
The HCF of 3762,8730 is 18.
Lets's calculate GCF of 3762,8730
| 2 | 3762, 8730 |
| 3 | 1881, 4365 |
| 3 | 627, 1455 |
| 209, 485 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 3762,8730 By Matching Biggest Common Factor Method
Now, list down the factors of 3762
:1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762
Now, list down the factors of 8730
:1,2,3,5,6,9,10,15,18,30,45,90,97,194,291,485,582,873,970,1455,1746,2910,4365,8730
Greatest Common Factor
We found the factors 3762,8730 . The biggest common factor number is the GCF number.
So the greatest common factor 3762,8730 is 18.
Lets's calculate LCM of 347,6820
Given numbers has no common factors except 1. So, there LCM is their product i.e 2366540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2366540
Therefore, the GCF of Fractions 3762/347,8730/6820 is 18/2366540
Least Common Multiple of 347,6820 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 347,6820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,6820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,6820) x common factors =1 x 1 = 1
LCM(347,6820) = ( 347 × 6820 ) / 1
LCM(347,6820) = 2366540 / 1
LCM(347,6820) = 2366540
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FAQs on GCF of Fractions of 3762/347, 8730/6820
1. What is the HCF of 3762,8730?
The HCF of 3762,8730 is 18
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 3762/347, 8730/6820?
Answer: GCF of Numerators as per given numbers 3762/347, 8730/6820 is
GCF of Numerators i.e. for 3762,8730 is 18
LCM of denominators i.e. for 347,6820 is 2366540.
Thus, GCF of Fractions is 18/2366540.Finally, GCF of Fractions for 3762/347, 8730/6820 is 18/2366540.