GCF of 2062/296, 7387/357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2062/296, 7387/357 i.e 1/105672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2062/296, 7387/357.
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 2062/296,7387/357?
Given fractions are 2062/296,7387/357
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 2062/296,7387/357, numerators are 2062,7387
Denominators are 296,357
The GCF of 2062,7387 is 1 .
LCM of 296,357 is 105672.
The greatest common factor of 2062/296,7387/357 = [GCF of 2062,7387]/[LCM of 296,357]= 1/105672
Therefore, the GCF of 2062/296,7387/357 is 1/105672.
To find the highest common factor of 2062,7387, we have to find the factors of both numbers and list the highest common factor.
The factors of 2062 are 1, 2, 1031, 2062
The factors of 7387 are 1, 83, 89, 7387
The HCF of 2062,7387 is 1.
Lets's calculate GCF of 2062,7387
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2062,7387 By Matching Biggest Common Factor Method
Now, list down the factors of 2062
:1,2,1031,2062
Now, list down the factors of 7387
:1,83,89,7387
Greatest Common Factor
We found the factors 2062,7387 . The biggest common factor number is the GCF number.
So the greatest common factor 2062,7387 is 1.
Lets's calculate LCM of 296,357
Given numbers has no common factors except 1. So, there LCM is their product i.e 105672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105672
Therefore, the GCF of Fractions 2062/296,7387/357 is 1/105672
Least Common Multiple of 296,357 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 296,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,357) x common factors =1 x 1 = 1
LCM(296,357) = ( 296 × 357 ) / 1
LCM(296,357) = 105672 / 1
LCM(296,357) = 105672
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FAQs on GCF of Fractions of 2062/296, 7387/357
1. What is the HCF of 2062,7387?
The HCF of 2062,7387 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 2062/296, 7387/357?
Answer: GCF of Numerators as per given numbers 2062/296, 7387/357 is
GCF of Numerators i.e. for 2062,7387 is 1
LCM of denominators i.e. for 296,357 is 105672.
Thus, GCF of Fractions is 1/105672.Finally, GCF of Fractions for 2062/296, 7387/357 is 1/105672.