GCF of 832/338, 7682/4649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 832/338, 7682/4649 i.e 2/1571362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/338, 7682/4649.
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 832/338,7682/4649?
Given fractions are 832/338,7682/4649
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 832/338,7682/4649, numerators are 832,7682
Denominators are 338,4649
The GCF of 832,7682 is 2 .
LCM of 338,4649 is 1571362.
The greatest common factor of 832/338,7682/4649 = [GCF of 832,7682]/[LCM of 338,4649]= 2/1571362
Therefore, the GCF of 832/338,7682/4649 is 2/1571362.
To find the highest common factor of 832,7682, we have to find the factors of both numbers and list the highest common factor.
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682
The HCF of 832,7682 is 2.
Lets's calculate GCF of 832,7682
| 2 | 832, 7682 |
| 416, 3841 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 832,7682 By Matching Biggest Common Factor Method
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 7682
:1,2,23,46,167,334,3841,7682
Greatest Common Factor
We found the factors 832,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 832,7682 is 2.
Lets's calculate LCM of 338,4649
Given numbers has no common factors except 1. So, there LCM is their product i.e 1571362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1571362
Therefore, the GCF of Fractions 832/338,7682/4649 is 2/1571362
Least Common Multiple of 338,4649 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 338,4649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,4649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,4649) x common factors =1 x 1 = 1
LCM(338,4649) = ( 338 × 4649 ) / 1
LCM(338,4649) = 1571362 / 1
LCM(338,4649) = 1571362
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 832/338, 7682/4649
1. What is the HCF of 832,7682?
The HCF of 832,7682 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 832/338, 7682/4649?
Answer: GCF of Numerators as per given numbers 832/338, 7682/4649 is
GCF of Numerators i.e. for 832,7682 is 2
LCM of denominators i.e. for 338,4649 is 1571362.
Thus, GCF of Fractions is 2/1571362.Finally, GCF of Fractions for 832/338, 7682/4649 is 2/1571362.