GCF of 8654/186, 8772/7768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8654/186, 8772/7768 i.e 2/722424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8654/186, 8772/7768.
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 8654/186,8772/7768?
Given fractions are 8654/186,8772/7768
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 8654/186,8772/7768, numerators are 8654,8772
Denominators are 186,7768
The GCF of 8654,8772 is 2 .
LCM of 186,7768 is 722424.
The greatest common factor of 8654/186,8772/7768 = [GCF of 8654,8772]/[LCM of 186,7768]= 2/722424
Therefore, the GCF of 8654/186,8772/7768 is 2/722424.
To find the highest common factor of 8654,8772, we have to find the factors of both numbers and list the highest common factor.
The factors of 8654 are 1, 2, 4327, 8654
The factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772
The HCF of 8654,8772 is 2.
Lets's calculate GCF of 8654,8772
| 2 | 8654, 8772 |
| 4327, 4386 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8654,8772 By Matching Biggest Common Factor Method
Now, list down the factors of 8654
:1,2,4327,8654
Now, list down the factors of 8772
:1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772
Greatest Common Factor
We found the factors 8654,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 8654,8772 is 2.
Lets's calculate LCM of 186,7768
| 2 | 186, 7768 |
| 93, 3884 |
∴ So the LCM of the given numbers is 2 x 93 x 3884 = 722424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/722424
Therefore, the GCF of Fractions 8654/186,8772/7768 is 2/722424
Least Common Multiple of 186,7768 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 186,7768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,7768) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,7768) x common factors =2 x 1 = 2
LCM(186,7768) = ( 186 × 7768 ) / 2
LCM(186,7768) = 1444848 / 2
LCM(186,7768) = 722424
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FAQs on GCF of Fractions of 8654/186, 8772/7768
1. What is the HCF of 8654,8772?
The HCF of 8654,8772 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 8654/186, 8772/7768?
Answer: GCF of Numerators as per given numbers 8654/186, 8772/7768 is
GCF of Numerators i.e. for 8654,8772 is 2
LCM of denominators i.e. for 186,7768 is 722424.
Thus, GCF of Fractions is 2/722424.Finally, GCF of Fractions for 8654/186, 8772/7768 is 2/722424.