GCF of 439/267, 940/748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 439/267, 940/748 i.e 1/199716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/267, 940/748.
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 439/267,940/748?
Given fractions are 439/267,940/748
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 439/267,940/748, numerators are 439,940
Denominators are 267,748
The GCF of 439,940 is 1 .
LCM of 267,748 is 199716.
The greatest common factor of 439/267,940/748 = [GCF of 439,940]/[LCM of 267,748]= 1/199716
Therefore, the GCF of 439/267,940/748 is 1/199716.
To find the highest common factor of 439,940, we have to find the factors of both numbers and list the highest common factor.
The factors of 439 are 1, 439
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The HCF of 439,940 is 1.
Lets's calculate GCF of 439,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 439,940 By Matching Biggest Common Factor Method
Now, list down the factors of 439
:1,439
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 439,940 . The biggest common factor number is the GCF number.
So the greatest common factor 439,940 is 1.
Lets's calculate LCM of 267,748
Given numbers has no common factors except 1. So, there LCM is their product i.e 199716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199716
Therefore, the GCF of Fractions 439/267,940/748 is 1/199716
Least Common Multiple of 267,748 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 267,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,748) x common factors =1 x 1 = 1
LCM(267,748) = ( 267 × 748 ) / 1
LCM(267,748) = 199716 / 1
LCM(267,748) = 199716
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FAQs on GCF of Fractions of 439/267, 940/748
1. What is the HCF of 439,940?
The HCF of 439,940 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 439/267, 940/748?
Answer: GCF of Numerators as per given numbers 439/267, 940/748 is
GCF of Numerators i.e. for 439,940 is 1
LCM of denominators i.e. for 267,748 is 199716.
Thus, GCF of Fractions is 1/199716.Finally, GCF of Fractions for 439/267, 940/748 is 1/199716.