GCF of 373/401, 746/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 373/401, 746/270 i.e 373/108270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 373/401, 746/270.
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 373/401,746/270?
Given fractions are 373/401,746/270
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 373/401,746/270, numerators are 373,746
Denominators are 401,270
The GCF of 373,746 is 373 .
LCM of 401,270 is 108270.
The greatest common factor of 373/401,746/270 = [GCF of 373,746]/[LCM of 401,270]= 373/108270
Therefore, the GCF of 373/401,746/270 is 373/108270.
To find the highest common factor of 373,746, we have to find the factors of both numbers and list the highest common factor.
The factors of 373 are 1, 373
The factors of 746 are 1, 2, 373, 746
The HCF of 373,746 is 373.
Lets's calculate GCF of 373,746
| 373 | 373, 746 |
| 1, 2 |
∴ So the GCF of the given numbers is 373 = 373
Greatest Common Factor of 373,746 By Matching Biggest Common Factor Method
Now, list down the factors of 373
:1,373
Now, list down the factors of 746
:1,2,373,746
Greatest Common Factor
We found the factors 373,746 . The biggest common factor number is the GCF number.
So the greatest common factor 373,746 is 373.
Lets's calculate LCM of 401,270
Given numbers has no common factors except 1. So, there LCM is their product i.e 108270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 373/108270
Therefore, the GCF of Fractions 373/401,746/270 is 373/108270
Least Common Multiple of 401,270 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 401,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,270) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,270) x common factors =1 x 1 = 1
LCM(401,270) = ( 401 × 270 ) / 1
LCM(401,270) = 108270 / 1
LCM(401,270) = 108270
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FAQs on GCF of Fractions of 373/401, 746/270
1. What is the HCF of 373,746?
The HCF of 373,746 is 373
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 373/401, 746/270?
Answer: GCF of Numerators as per given numbers 373/401, 746/270 is
GCF of Numerators i.e. for 373,746 is 373
LCM of denominators i.e. for 401,270 is 108270.
Thus, GCF of Fractions is 373/108270.Finally, GCF of Fractions for 373/401, 746/270 is 373/108270.