GCF of 146/253, 3710/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 146/253, 3710/476 i.e 2/120428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/253, 3710/476.
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 146/253,3710/476?
Given fractions are 146/253,3710/476
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 146/253,3710/476, numerators are 146,3710
Denominators are 253,476
The GCF of 146,3710 is 2 .
LCM of 253,476 is 120428.
The greatest common factor of 146/253,3710/476 = [GCF of 146,3710]/[LCM of 253,476]= 2/120428
Therefore, the GCF of 146/253,3710/476 is 2/120428.
To find the highest common factor of 146,3710, 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 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710
The HCF of 146,3710 is 2.
Lets's calculate GCF of 146,3710
| 2 | 146, 3710 |
| 73, 1855 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 146,3710 By Matching Biggest Common Factor Method
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 3710
:1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Greatest Common Factor
We found the factors 146,3710 . The biggest common factor number is the GCF number.
So the greatest common factor 146,3710 is 2.
Lets's calculate LCM of 253,476
Given numbers has no common factors except 1. So, there LCM is their product i.e 120428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120428
Therefore, the GCF of Fractions 146/253,3710/476 is 2/120428
Least Common Multiple of 253,476 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 253,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,476) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,476) x common factors =1 x 1 = 1
LCM(253,476) = ( 253 × 476 ) / 1
LCM(253,476) = 120428 / 1
LCM(253,476) = 120428
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FAQs on GCF of Fractions of 146/253, 3710/476
1. What is the HCF of 146,3710?
The HCF of 146,3710 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 146/253, 3710/476?
Answer: GCF of Numerators as per given numbers 146/253, 3710/476 is
GCF of Numerators i.e. for 146,3710 is 2
LCM of denominators i.e. for 253,476 is 120428.
Thus, GCF of Fractions is 2/120428.Finally, GCF of Fractions for 146/253, 3710/476 is 2/120428.