GCF of 1194/580, 8906/4188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1194/580, 8906/4188 i.e 2/607260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1194/580, 8906/4188.
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 1194/580,8906/4188?
Given fractions are 1194/580,8906/4188
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 1194/580,8906/4188, numerators are 1194,8906
Denominators are 580,4188
The GCF of 1194,8906 is 2 .
LCM of 580,4188 is 607260.
The greatest common factor of 1194/580,8906/4188 = [GCF of 1194,8906]/[LCM of 580,4188]= 2/607260
Therefore, the GCF of 1194/580,8906/4188 is 2/607260.
To find the highest common factor of 1194,8906, we have to find the factors of both numbers and list the highest common factor.
The factors of 1194 are 1, 2, 3, 6, 199, 398, 597, 1194
The factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906
The HCF of 1194,8906 is 2.
Lets's calculate GCF of 1194,8906
| 2 | 1194, 8906 |
| 597, 4453 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1194,8906 By Matching Biggest Common Factor Method
Now, list down the factors of 1194
:1,2,3,6,199,398,597,1194
Now, list down the factors of 8906
:1,2,61,73,122,146,4453,8906
Greatest Common Factor
We found the factors 1194,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 1194,8906 is 2.
Lets's calculate LCM of 580,4188
| 2 | 580, 4188 |
| 2 | 290, 2094 |
| 145, 1047 |
∴ So the LCM of the given numbers is 2 x 2 x 145 x 1047 = 607260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/607260
Therefore, the GCF of Fractions 1194/580,8906/4188 is 2/607260
Least Common Multiple of 580,4188 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 580,4188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,4188) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(580,4188) x common factors =4 x 1 = 4
LCM(580,4188) = ( 580 × 4188 ) / 4
LCM(580,4188) = 2429040 / 4
LCM(580,4188) = 607260
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FAQs on GCF of Fractions of 1194/580, 8906/4188
1. What is the HCF of 1194,8906?
The HCF of 1194,8906 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 1194/580, 8906/4188?
Answer: GCF of Numerators as per given numbers 1194/580, 8906/4188 is
GCF of Numerators i.e. for 1194,8906 is 2
LCM of denominators i.e. for 580,4188 is 607260.
Thus, GCF of Fractions is 2/607260.Finally, GCF of Fractions for 1194/580, 8906/4188 is 2/607260.