GCF of 3082/232, 8704/1319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3082/232, 8704/1319 i.e 2/306008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3082/232, 8704/1319.
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 3082/232,8704/1319?
Given fractions are 3082/232,8704/1319
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 3082/232,8704/1319, numerators are 3082,8704
Denominators are 232,1319
The GCF of 3082,8704 is 2 .
LCM of 232,1319 is 306008.
The greatest common factor of 3082/232,8704/1319 = [GCF of 3082,8704]/[LCM of 232,1319]= 2/306008
Therefore, the GCF of 3082/232,8704/1319 is 2/306008.
To find the highest common factor of 3082,8704, we have to find the factors of both numbers and list the highest common factor.
The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082
The factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704
The HCF of 3082,8704 is 2.
Lets's calculate GCF of 3082,8704
| 2 | 3082, 8704 |
| 1541, 4352 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3082,8704 By Matching Biggest Common Factor Method
Now, list down the factors of 3082
:1,2,23,46,67,134,1541,3082
Now, list down the factors of 8704
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704
Greatest Common Factor
We found the factors 3082,8704 . The biggest common factor number is the GCF number.
So the greatest common factor 3082,8704 is 2.
Lets's calculate LCM of 232,1319
Given numbers has no common factors except 1. So, there LCM is their product i.e 306008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306008
Therefore, the GCF of Fractions 3082/232,8704/1319 is 2/306008
Least Common Multiple of 232,1319 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 232,1319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,1319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,1319) x common factors =1 x 1 = 1
LCM(232,1319) = ( 232 × 1319 ) / 1
LCM(232,1319) = 306008 / 1
LCM(232,1319) = 306008
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FAQs on GCF of Fractions of 3082/232, 8704/1319
1. What is the HCF of 3082,8704?
The HCF of 3082,8704 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 3082/232, 8704/1319?
Answer: GCF of Numerators as per given numbers 3082/232, 8704/1319 is
GCF of Numerators i.e. for 3082,8704 is 2
LCM of denominators i.e. for 232,1319 is 306008.
Thus, GCF of Fractions is 2/306008.Finally, GCF of Fractions for 3082/232, 8704/1319 is 2/306008.