GCF of 8976/952, 8213/4174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8976/952, 8213/4174 i.e 1/1986824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8976/952, 8213/4174.
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 8976/952,8213/4174?
Given fractions are 8976/952,8213/4174
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 8976/952,8213/4174, numerators are 8976,8213
Denominators are 952,4174
The GCF of 8976,8213 is 1 .
LCM of 952,4174 is 1986824.
The greatest common factor of 8976/952,8213/4174 = [GCF of 8976,8213]/[LCM of 952,4174]= 1/1986824
Therefore, the GCF of 8976/952,8213/4174 is 1/1986824.
To find the highest common factor of 8976,8213, 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 8213 are 1, 43, 191, 8213
The HCF of 8976,8213 is 1.
Lets's calculate GCF of 8976,8213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8976,8213 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 8213
:1,43,191,8213
Greatest Common Factor
We found the factors 8976,8213 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,8213 is 1.
Lets's calculate LCM of 952,4174
| 2 | 952, 4174 |
| 476, 2087 |
∴ So the LCM of the given numbers is 2 x 476 x 2087 = 1986824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1986824
Therefore, the GCF of Fractions 8976/952,8213/4174 is 1/1986824
Least Common Multiple of 952,4174 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 952,4174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,4174) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(952,4174) x common factors =2 x 1 = 2
LCM(952,4174) = ( 952 × 4174 ) / 2
LCM(952,4174) = 3973648 / 2
LCM(952,4174) = 1986824
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8976/952, 8213/4174
1. What is the HCF of 8976,8213?
The HCF of 8976,8213 is 1
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 8976/952, 8213/4174?
Answer: GCF of Numerators as per given numbers 8976/952, 8213/4174 is
GCF of Numerators i.e. for 8976,8213 is 1
LCM of denominators i.e. for 952,4174 is 1986824.
Thus, GCF of Fractions is 1/1986824.Finally, GCF of Fractions for 8976/952, 8213/4174 is 1/1986824.