GCF of 8176/651, 6794/3717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8176/651, 6794/3717 i.e 2/115227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8176/651, 6794/3717.
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 8176/651,6794/3717?
Given fractions are 8176/651,6794/3717
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 8176/651,6794/3717, numerators are 8176,6794
Denominators are 651,3717
The GCF of 8176,6794 is 2 .
LCM of 651,3717 is 115227.
The greatest common factor of 8176/651,6794/3717 = [GCF of 8176,6794]/[LCM of 651,3717]= 2/115227
Therefore, the GCF of 8176/651,6794/3717 is 2/115227.
To find the highest common factor of 8176,6794, we have to find the factors of both numbers and list the highest common factor.
The factors of 8176 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176
The factors of 6794 are 1, 2, 43, 79, 86, 158, 3397, 6794
The HCF of 8176,6794 is 2.
Lets's calculate GCF of 8176,6794
| 2 | 8176, 6794 |
| 4088, 3397 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8176,6794 By Matching Biggest Common Factor Method
Now, list down the factors of 8176
:1,2,4,7,8,14,16,28,56,73,112,146,292,511,584,1022,1168,2044,4088,8176
Now, list down the factors of 6794
:1,2,43,79,86,158,3397,6794
Greatest Common Factor
We found the factors 8176,6794 . The biggest common factor number is the GCF number.
So the greatest common factor 8176,6794 is 2.
Lets's calculate LCM of 651,3717
| 3 | 651, 3717 |
| 7 | 217, 1239 |
| 31, 177 |
∴ So the LCM of the given numbers is 3 x 7 x 31 x 177 = 115227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115227
Therefore, the GCF of Fractions 8176/651,6794/3717 is 2/115227
Least Common Multiple of 651,3717 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 651,3717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,3717) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(651,3717) x common factors =21 x 1 = 21
LCM(651,3717) = ( 651 × 3717 ) / 21
LCM(651,3717) = 2419767 / 21
LCM(651,3717) = 115227
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FAQs on GCF of Fractions of 8176/651, 6794/3717
1. What is the HCF of 8176,6794?
The HCF of 8176,6794 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 8176/651, 6794/3717?
Answer: GCF of Numerators as per given numbers 8176/651, 6794/3717 is
GCF of Numerators i.e. for 8176,6794 is 2
LCM of denominators i.e. for 651,3717 is 115227.
Thus, GCF of Fractions is 2/115227.Finally, GCF of Fractions for 8176/651, 6794/3717 is 2/115227.