GCF of 4156/299, 8514/9729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4156/299, 8514/9729 i.e 2/126477 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4156/299, 8514/9729.
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 4156/299,8514/9729?
Given fractions are 4156/299,8514/9729
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 4156/299,8514/9729, numerators are 4156,8514
Denominators are 299,9729
The GCF of 4156,8514 is 2 .
LCM of 299,9729 is 126477.
The greatest common factor of 4156/299,8514/9729 = [GCF of 4156,8514]/[LCM of 299,9729]= 2/126477
Therefore, the GCF of 4156/299,8514/9729 is 2/126477.
To find the highest common factor of 4156,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 4156 are 1, 2, 4, 1039, 2078, 4156
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The HCF of 4156,8514 is 2.
Lets's calculate GCF of 4156,8514
| 2 | 4156, 8514 |
| 2078, 4257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4156,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 4156
:1,2,4,1039,2078,4156
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Greatest Common Factor
We found the factors 4156,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 4156,8514 is 2.
Lets's calculate LCM of 299,9729
| 23 | 299, 9729 |
| 13, 423 |
∴ So the LCM of the given numbers is 23 x 13 x 423 = 126477
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126477
Therefore, the GCF of Fractions 4156/299,8514/9729 is 2/126477
Least Common Multiple of 299,9729 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 299,9729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,9729) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(299,9729) x common factors =23 x 1 = 23
LCM(299,9729) = ( 299 × 9729 ) / 23
LCM(299,9729) = 2908971 / 23
LCM(299,9729) = 126477
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FAQs on GCF of Fractions of 4156/299, 8514/9729
1. What is the HCF of 4156,8514?
The HCF of 4156,8514 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 4156/299, 8514/9729?
Answer: GCF of Numerators as per given numbers 4156/299, 8514/9729 is
GCF of Numerators i.e. for 4156,8514 is 2
LCM of denominators i.e. for 299,9729 is 126477.
Thus, GCF of Fractions is 2/126477.Finally, GCF of Fractions for 4156/299, 8514/9729 is 2/126477.