GCF of 8976/959, 6562/5011
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8976/959, 6562/5011 i.e 34/4805549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8976/959, 6562/5011.
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 8976/959,6562/5011?
Given fractions are 8976/959,6562/5011
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 8976/959,6562/5011, numerators are 8976,6562
Denominators are 959,5011
The GCF of 8976,6562 is 34 .
LCM of 959,5011 is 4805549.
The greatest common factor of 8976/959,6562/5011 = [GCF of 8976,6562]/[LCM of 959,5011]= 34/4805549
Therefore, the GCF of 8976/959,6562/5011 is 34/4805549.
To find the highest common factor of 8976,6562, we have to find the factors of both numbers and list the highest common factor.
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562
The HCF of 8976,6562 is 34.
Lets's calculate GCF of 8976,6562
| 2 | 8976, 6562 |
| 17 | 4488, 3281 |
| 264, 193 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 8976,6562 By Matching Biggest Common Factor Method
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Now, list down the factors of 6562
:1,2,17,34,193,386,3281,6562
Greatest Common Factor
We found the factors 8976,6562 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,6562 is 34.
Lets's calculate LCM of 959,5011
Given numbers has no common factors except 1. So, there LCM is their product i.e 4805549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/4805549
Therefore, the GCF of Fractions 8976/959,6562/5011 is 34/4805549
Least Common Multiple of 959,5011 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 959,5011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,5011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,5011) x common factors =1 x 1 = 1
LCM(959,5011) = ( 959 × 5011 ) / 1
LCM(959,5011) = 4805549 / 1
LCM(959,5011) = 4805549
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FAQs on GCF of Fractions of 8976/959, 6562/5011
1. What is the HCF of 8976,6562?
The HCF of 8976,6562 is 34
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 8976/959, 6562/5011?
Answer: GCF of Numerators as per given numbers 8976/959, 6562/5011 is
GCF of Numerators i.e. for 8976,6562 is 34
LCM of denominators i.e. for 959,5011 is 4805549.
Thus, GCF of Fractions is 34/4805549.Finally, GCF of Fractions for 8976/959, 6562/5011 is 34/4805549.