GCF of 42/158, 4148/5725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 42/158, 4148/5725 i.e 2/904550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/158, 4148/5725.
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 42/158,4148/5725?
Given fractions are 42/158,4148/5725
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 42/158,4148/5725, numerators are 42,4148
Denominators are 158,5725
The GCF of 42,4148 is 2 .
LCM of 158,5725 is 904550.
The greatest common factor of 42/158,4148/5725 = [GCF of 42,4148]/[LCM of 158,5725]= 2/904550
Therefore, the GCF of 42/158,4148/5725 is 2/904550.
To find the highest common factor of 42,4148, we have to find the factors of both numbers and list the highest common factor.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 4148 are 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148
The HCF of 42,4148 is 2.
Lets's calculate GCF of 42,4148
| 2 | 42, 4148 |
| 21, 2074 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 42,4148 By Matching Biggest Common Factor Method
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 4148
:1,2,4,17,34,61,68,122,244,1037,2074,4148
Greatest Common Factor
We found the factors 42,4148 . The biggest common factor number is the GCF number.
So the greatest common factor 42,4148 is 2.
Lets's calculate LCM of 158,5725
Given numbers has no common factors except 1. So, there LCM is their product i.e 904550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/904550
Therefore, the GCF of Fractions 42/158,4148/5725 is 2/904550
Least Common Multiple of 158,5725 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 158,5725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,5725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,5725) x common factors =1 x 1 = 1
LCM(158,5725) = ( 158 × 5725 ) / 1
LCM(158,5725) = 904550 / 1
LCM(158,5725) = 904550
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FAQs on GCF of Fractions of 42/158, 4148/5725
1. What is the HCF of 42,4148?
The HCF of 42,4148 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 42/158, 4148/5725?
Answer: GCF of Numerators as per given numbers 42/158, 4148/5725 is
GCF of Numerators i.e. for 42,4148 is 2
LCM of denominators i.e. for 158,5725 is 904550.
Thus, GCF of Fractions is 2/904550.Finally, GCF of Fractions for 42/158, 4148/5725 is 2/904550.