GCF of 766/17, 437/837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 766/17, 437/837 i.e 1/14229 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/17, 437/837.
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 766/17,437/837?
Given fractions are 766/17,437/837
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 766/17,437/837, numerators are 766,437
Denominators are 17,837
The GCF of 766,437 is 1 .
LCM of 17,837 is 14229.
The greatest common factor of 766/17,437/837 = [GCF of 766,437]/[LCM of 17,837]= 1/14229
Therefore, the GCF of 766/17,437/837 is 1/14229.
To find the highest common factor of 766,437, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 437 are 1, 19, 23, 437
The HCF of 766,437 is 1.
Lets's calculate GCF of 766,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 766,437 By Matching Biggest Common Factor Method
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 437
:1,19,23,437
Greatest Common Factor
We found the factors 766,437 . The biggest common factor number is the GCF number.
So the greatest common factor 766,437 is 1.
Lets's calculate LCM of 17,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 14229
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14229
Therefore, the GCF of Fractions 766/17,437/837 is 1/14229
Least Common Multiple of 17,837 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 17,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,837) x common factors =1 x 1 = 1
LCM(17,837) = ( 17 × 837 ) / 1
LCM(17,837) = 14229 / 1
LCM(17,837) = 14229
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FAQs on GCF of Fractions of 766/17, 437/837
1. What is the HCF of 766,437?
The HCF of 766,437 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 766/17, 437/837?
Answer: GCF of Numerators as per given numbers 766/17, 437/837 is
GCF of Numerators i.e. for 766,437 is 1
LCM of denominators i.e. for 17,837 is 14229.
Thus, GCF of Fractions is 1/14229.Finally, GCF of Fractions for 766/17, 437/837 is 1/14229.