GCF of 4178/136, 4300/9949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4178/136, 4300/9949 i.e 2/1353064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4178/136, 4300/9949.
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 4178/136,4300/9949?
Given fractions are 4178/136,4300/9949
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 4178/136,4300/9949, numerators are 4178,4300
Denominators are 136,9949
The GCF of 4178,4300 is 2 .
LCM of 136,9949 is 1353064.
The greatest common factor of 4178/136,4300/9949 = [GCF of 4178,4300]/[LCM of 136,9949]= 2/1353064
Therefore, the GCF of 4178/136,4300/9949 is 2/1353064.
To find the highest common factor of 4178,4300, we have to find the factors of both numbers and list the highest common factor.
The factors of 4178 are 1, 2, 2089, 4178
The factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300
The HCF of 4178,4300 is 2.
Lets's calculate GCF of 4178,4300
| 2 | 4178, 4300 |
| 2089, 2150 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4178,4300 By Matching Biggest Common Factor Method
Now, list down the factors of 4178
:1,2,2089,4178
Now, list down the factors of 4300
:1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300
Greatest Common Factor
We found the factors 4178,4300 . The biggest common factor number is the GCF number.
So the greatest common factor 4178,4300 is 2.
Lets's calculate LCM of 136,9949
Given numbers has no common factors except 1. So, there LCM is their product i.e 1353064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1353064
Therefore, the GCF of Fractions 4178/136,4300/9949 is 2/1353064
Least Common Multiple of 136,9949 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 136,9949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,9949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,9949) x common factors =1 x 1 = 1
LCM(136,9949) = ( 136 × 9949 ) / 1
LCM(136,9949) = 1353064 / 1
LCM(136,9949) = 1353064
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FAQs on GCF of Fractions of 4178/136, 4300/9949
1. What is the HCF of 4178,4300?
The HCF of 4178,4300 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 4178/136, 4300/9949?
Answer: GCF of Numerators as per given numbers 4178/136, 4300/9949 is
GCF of Numerators i.e. for 4178,4300 is 2
LCM of denominators i.e. for 136,9949 is 1353064.
Thus, GCF of Fractions is 2/1353064.Finally, GCF of Fractions for 4178/136, 4300/9949 is 2/1353064.