GCF of 8932/216, 5722/3460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8932/216, 5722/3460 i.e 2/186840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8932/216, 5722/3460.
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 8932/216,5722/3460?
Given fractions are 8932/216,5722/3460
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 8932/216,5722/3460, numerators are 8932,5722
Denominators are 216,3460
The GCF of 8932,5722 is 2 .
LCM of 216,3460 is 186840.
The greatest common factor of 8932/216,5722/3460 = [GCF of 8932,5722]/[LCM of 216,3460]= 2/186840
Therefore, the GCF of 8932/216,5722/3460 is 2/186840.
To find the highest common factor of 8932,5722, we have to find the factors of both numbers and list the highest common factor.
The factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932
The factors of 5722 are 1, 2, 2861, 5722
The HCF of 8932,5722 is 2.
Lets's calculate GCF of 8932,5722
| 2 | 8932, 5722 |
| 4466, 2861 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8932,5722 By Matching Biggest Common Factor Method
Now, list down the factors of 8932
:1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932
Now, list down the factors of 5722
:1,2,2861,5722
Greatest Common Factor
We found the factors 8932,5722 . The biggest common factor number is the GCF number.
So the greatest common factor 8932,5722 is 2.
Lets's calculate LCM of 216,3460
| 2 | 216, 3460 |
| 2 | 108, 1730 |
| 54, 865 |
∴ So the LCM of the given numbers is 2 x 2 x 54 x 865 = 186840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186840
Therefore, the GCF of Fractions 8932/216,5722/3460 is 2/186840
Least Common Multiple of 216,3460 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 216,3460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,3460) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(216,3460) x common factors =4 x 1 = 4
LCM(216,3460) = ( 216 × 3460 ) / 4
LCM(216,3460) = 747360 / 4
LCM(216,3460) = 186840
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FAQs on GCF of Fractions of 8932/216, 5722/3460
1. What is the HCF of 8932,5722?
The HCF of 8932,5722 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 8932/216, 5722/3460?
Answer: GCF of Numerators as per given numbers 8932/216, 5722/3460 is
GCF of Numerators i.e. for 8932,5722 is 2
LCM of denominators i.e. for 216,3460 is 186840.
Thus, GCF of Fractions is 2/186840.Finally, GCF of Fractions for 8932/216, 5722/3460 is 2/186840.