GCF of 385/237, 3378/7202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 385/237, 3378/7202 i.e 1/1706874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/237, 3378/7202.
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 385/237,3378/7202?
Given fractions are 385/237,3378/7202
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 385/237,3378/7202, numerators are 385,3378
Denominators are 237,7202
The GCF of 385,3378 is 1 .
LCM of 237,7202 is 1706874.
The greatest common factor of 385/237,3378/7202 = [GCF of 385,3378]/[LCM of 237,7202]= 1/1706874
Therefore, the GCF of 385/237,3378/7202 is 1/1706874.
To find the highest common factor of 385,3378, we have to find the factors of both numbers and list the highest common factor.
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378
The HCF of 385,3378 is 1.
Lets's calculate GCF of 385,3378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 385,3378 By Matching Biggest Common Factor Method
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 3378
:1,2,3,6,563,1126,1689,3378
Greatest Common Factor
We found the factors 385,3378 . The biggest common factor number is the GCF number.
So the greatest common factor 385,3378 is 1.
Lets's calculate LCM of 237,7202
Given numbers has no common factors except 1. So, there LCM is their product i.e 1706874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1706874
Therefore, the GCF of Fractions 385/237,3378/7202 is 1/1706874
Least Common Multiple of 237,7202 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 237,7202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,7202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,7202) x common factors =1 x 1 = 1
LCM(237,7202) = ( 237 × 7202 ) / 1
LCM(237,7202) = 1706874 / 1
LCM(237,7202) = 1706874
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FAQs on GCF of Fractions of 385/237, 3378/7202
1. What is the HCF of 385,3378?
The HCF of 385,3378 is 1
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 385/237, 3378/7202?
Answer: GCF of Numerators as per given numbers 385/237, 3378/7202 is
GCF of Numerators i.e. for 385,3378 is 1
LCM of denominators i.e. for 237,7202 is 1706874.
Thus, GCF of Fractions is 1/1706874.Finally, GCF of Fractions for 385/237, 3378/7202 is 1/1706874.