GCF of 382/721, 8206/915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 382/721, 8206/915 i.e 2/659715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 382/721, 8206/915.
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 382/721,8206/915?
Given fractions are 382/721,8206/915
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 382/721,8206/915, numerators are 382,8206
Denominators are 721,915
The GCF of 382,8206 is 2 .
LCM of 721,915 is 659715.
The greatest common factor of 382/721,8206/915 = [GCF of 382,8206]/[LCM of 721,915]= 2/659715
Therefore, the GCF of 382/721,8206/915 is 2/659715.
To find the highest common factor of 382,8206, we have to find the factors of both numbers and list the highest common factor.
The factors of 382 are 1, 2, 191, 382
The factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206
The HCF of 382,8206 is 2.
Lets's calculate GCF of 382,8206
| 2 | 382, 8206 |
| 191, 4103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 382,8206 By Matching Biggest Common Factor Method
Now, list down the factors of 382
:1,2,191,382
Now, list down the factors of 8206
:1,2,11,22,373,746,4103,8206
Greatest Common Factor
We found the factors 382,8206 . The biggest common factor number is the GCF number.
So the greatest common factor 382,8206 is 2.
Lets's calculate LCM of 721,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 659715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/659715
Therefore, the GCF of Fractions 382/721,8206/915 is 2/659715
Least Common Multiple of 721,915 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 721,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,915) x common factors =1 x 1 = 1
LCM(721,915) = ( 721 × 915 ) / 1
LCM(721,915) = 659715 / 1
LCM(721,915) = 659715
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FAQs on GCF of Fractions of 382/721, 8206/915
1. What is the HCF of 382,8206?
The HCF of 382,8206 is 2
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 382/721, 8206/915?
Answer: GCF of Numerators as per given numbers 382/721, 8206/915 is
GCF of Numerators i.e. for 382,8206 is 2
LCM of denominators i.e. for 721,915 is 659715.
Thus, GCF of Fractions is 2/659715.Finally, GCF of Fractions for 382/721, 8206/915 is 2/659715.