GCF of 146/40, 312/3179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 146/40, 312/3179 i.e 2/127160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/40, 312/3179.
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 146/40,312/3179?
Given fractions are 146/40,312/3179
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 146/40,312/3179, numerators are 146,312
Denominators are 40,3179
The GCF of 146,312 is 2 .
LCM of 40,3179 is 127160.
The greatest common factor of 146/40,312/3179 = [GCF of 146,312]/[LCM of 40,3179]= 2/127160
Therefore, the GCF of 146/40,312/3179 is 2/127160.
To find the highest common factor of 146,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 146,312 is 2.
Lets's calculate GCF of 146,312
| 2 | 146, 312 |
| 73, 156 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 146,312 By Matching Biggest Common Factor Method
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 146,312 . The biggest common factor number is the GCF number.
So the greatest common factor 146,312 is 2.
Lets's calculate LCM of 40,3179
Given numbers has no common factors except 1. So, there LCM is their product i.e 127160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127160
Therefore, the GCF of Fractions 146/40,312/3179 is 2/127160
Least Common Multiple of 40,3179 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 40,3179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,3179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,3179) x common factors =1 x 1 = 1
LCM(40,3179) = ( 40 × 3179 ) / 1
LCM(40,3179) = 127160 / 1
LCM(40,3179) = 127160
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FAQs on GCF of Fractions of 146/40, 312/3179
1. What is the HCF of 146,312?
The HCF of 146,312 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 146/40, 312/3179?
Answer: GCF of Numerators as per given numbers 146/40, 312/3179 is
GCF of Numerators i.e. for 146,312 is 2
LCM of denominators i.e. for 40,3179 is 127160.
Thus, GCF of Fractions is 2/127160.Finally, GCF of Fractions for 146/40, 312/3179 is 2/127160.