GCF of 8178/562, 8654/345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8178/562, 8654/345 i.e 2/193890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8178/562, 8654/345.
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 8178/562,8654/345?
Given fractions are 8178/562,8654/345
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 8178/562,8654/345, numerators are 8178,8654
Denominators are 562,345
The GCF of 8178,8654 is 2 .
LCM of 562,345 is 193890.
The greatest common factor of 8178/562,8654/345 = [GCF of 8178,8654]/[LCM of 562,345]= 2/193890
Therefore, the GCF of 8178/562,8654/345 is 2/193890.
To find the highest common factor of 8178,8654, we have to find the factors of both numbers and list the highest common factor.
The factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178
The factors of 8654 are 1, 2, 4327, 8654
The HCF of 8178,8654 is 2.
Lets's calculate GCF of 8178,8654
| 2 | 8178, 8654 |
| 4089, 4327 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8178,8654 By Matching Biggest Common Factor Method
Now, list down the factors of 8178
:1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178
Now, list down the factors of 8654
:1,2,4327,8654
Greatest Common Factor
We found the factors 8178,8654 . The biggest common factor number is the GCF number.
So the greatest common factor 8178,8654 is 2.
Lets's calculate LCM of 562,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 193890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/193890
Therefore, the GCF of Fractions 8178/562,8654/345 is 2/193890
Least Common Multiple of 562,345 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 562,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,345) x common factors =1 x 1 = 1
LCM(562,345) = ( 562 × 345 ) / 1
LCM(562,345) = 193890 / 1
LCM(562,345) = 193890
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FAQs on GCF of Fractions of 8178/562, 8654/345
1. What is the HCF of 8178,8654?
The HCF of 8178,8654 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 8178/562, 8654/345?
Answer: GCF of Numerators as per given numbers 8178/562, 8654/345 is
GCF of Numerators i.e. for 8178,8654 is 2
LCM of denominators i.e. for 562,345 is 193890.
Thus, GCF of Fractions is 2/193890.Finally, GCF of Fractions for 8178/562, 8654/345 is 2/193890.