GCF of 7342/888, 4138/8924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7342/888, 4138/8924 i.e 2/1981128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7342/888, 4138/8924.
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 7342/888,4138/8924?
Given fractions are 7342/888,4138/8924
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 7342/888,4138/8924, numerators are 7342,4138
Denominators are 888,8924
The GCF of 7342,4138 is 2 .
LCM of 888,8924 is 1981128.
The greatest common factor of 7342/888,4138/8924 = [GCF of 7342,4138]/[LCM of 888,8924]= 2/1981128
Therefore, the GCF of 7342/888,4138/8924 is 2/1981128.
To find the highest common factor of 7342,4138, we have to find the factors of both numbers and list the highest common factor.
The factors of 7342 are 1, 2, 3671, 7342
The factors of 4138 are 1, 2, 2069, 4138
The HCF of 7342,4138 is 2.
Lets's calculate GCF of 7342,4138
| 2 | 7342, 4138 |
| 3671, 2069 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7342,4138 By Matching Biggest Common Factor Method
Now, list down the factors of 7342
:1,2,3671,7342
Now, list down the factors of 4138
:1,2,2069,4138
Greatest Common Factor
We found the factors 7342,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 7342,4138 is 2.
Lets's calculate LCM of 888,8924
| 2 | 888, 8924 |
| 2 | 444, 4462 |
| 222, 2231 |
∴ So the LCM of the given numbers is 2 x 2 x 222 x 2231 = 1981128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1981128
Therefore, the GCF of Fractions 7342/888,4138/8924 is 2/1981128
Least Common Multiple of 888,8924 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 888,8924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,8924) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(888,8924) x common factors =4 x 1 = 4
LCM(888,8924) = ( 888 × 8924 ) / 4
LCM(888,8924) = 7924512 / 4
LCM(888,8924) = 1981128
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FAQs on GCF of Fractions of 7342/888, 4138/8924
1. What is the HCF of 7342,4138?
The HCF of 7342,4138 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 7342/888, 4138/8924?
Answer: GCF of Numerators as per given numbers 7342/888, 4138/8924 is
GCF of Numerators i.e. for 7342,4138 is 2
LCM of denominators i.e. for 888,8924 is 1981128.
Thus, GCF of Fractions is 2/1981128.Finally, GCF of Fractions for 7342/888, 4138/8924 is 2/1981128.