GCF of 8294/617, 7954/5323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8294/617, 7954/5323 i.e 2/3284291 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8294/617, 7954/5323.
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 8294/617,7954/5323?
Given fractions are 8294/617,7954/5323
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 8294/617,7954/5323, numerators are 8294,7954
Denominators are 617,5323
The GCF of 8294,7954 is 2 .
LCM of 617,5323 is 3284291.
The greatest common factor of 8294/617,7954/5323 = [GCF of 8294,7954]/[LCM of 617,5323]= 2/3284291
Therefore, the GCF of 8294/617,7954/5323 is 2/3284291.
To find the highest common factor of 8294,7954, we have to find the factors of both numbers and list the highest common factor.
The factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294
The factors of 7954 are 1, 2, 41, 82, 97, 194, 3977, 7954
The HCF of 8294,7954 is 2.
Lets's calculate GCF of 8294,7954
| 2 | 8294, 7954 |
| 4147, 3977 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8294,7954 By Matching Biggest Common Factor Method
Now, list down the factors of 8294
:1,2,11,13,22,26,29,58,143,286,319,377,638,754,4147,8294
Now, list down the factors of 7954
:1,2,41,82,97,194,3977,7954
Greatest Common Factor
We found the factors 8294,7954 . The biggest common factor number is the GCF number.
So the greatest common factor 8294,7954 is 2.
Lets's calculate LCM of 617,5323
Given numbers has no common factors except 1. So, there LCM is their product i.e 3284291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3284291
Therefore, the GCF of Fractions 8294/617,7954/5323 is 2/3284291
Least Common Multiple of 617,5323 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 617,5323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,5323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,5323) x common factors =1 x 1 = 1
LCM(617,5323) = ( 617 × 5323 ) / 1
LCM(617,5323) = 3284291 / 1
LCM(617,5323) = 3284291
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FAQs on GCF of Fractions of 8294/617, 7954/5323
1. What is the HCF of 8294,7954?
The HCF of 8294,7954 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 8294/617, 7954/5323?
Answer: GCF of Numerators as per given numbers 8294/617, 7954/5323 is
GCF of Numerators i.e. for 8294,7954 is 2
LCM of denominators i.e. for 617,5323 is 3284291.
Thus, GCF of Fractions is 2/3284291.Finally, GCF of Fractions for 8294/617, 7954/5323 is 2/3284291.