GCF of 2/67, 32/47, 80/655, 439/937
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2/67, 32/47, 80/655, 439/937 i.e 1/1932651515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/67, 32/47, 80/655, 439/937.
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 2/67,32/47,80/655,439/937?
Given fractions are 2/67,32/47,80/655,439/937
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 2/67,32/47,80/655,439/937, numerators are 2,32,80,439
Denominators are 67,47,655,937
The GCF of 2,32,80,439 is 1 .
LCM of 67,47,655,937 is 1932651515.
The greatest common factor of 2/67,32/47,80/655,439/937 = [GCF of 2,32,80,439]/[LCM of 67,47,655,937]= 1/1932651515
Therefore, the GCF of 2/67,32/47,80/655,439/937 is 1/1932651515.
To find the highest common factor of 2,32,80,439, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 439 are 1, 439
The HCF of 2,32,80,439 is 1.
Lets's calculate GCF of 2,32,80,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2,32,80,439 By Matching Biggest Common Factor Method
Now, list down the factors of 2
:1,2
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 439
:1,439
Greatest Common Factor
We found the factors 2,32,80,439 . The biggest common factor number is the GCF number.
So the greatest common factor 2,32,80,439 is 1.
Lets's calculate LCM of 67,47,655,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 1932651515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1932651515
Therefore, the GCF of Fractions 2/67,32/47,80/655,439/937 is 1/1932651515
Least Common Multiple of 67,47,655,937 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 67,47,655,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,47,655,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,47,655,937) x common factors =1 x 1 = 1
LCM(67,47,655,937) = ( 67 × 47 × 655 × 937 ) / 1
LCM(67,47,655,937) = 1932651515 / 1
LCM(67,47,655,937) = 1932651515
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2/67, 32/47, 80/655, 439/937
1. What is the HCF of 2,32,80,439?
The HCF of 2,32,80,439 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 2/67, 32/47, 80/655, 439/937?
Answer: GCF of Numerators as per given numbers 2/67, 32/47, 80/655, 439/937 is
GCF of Numerators i.e. for 2,32,80,439 is 1
LCM of denominators i.e. for 67,47,655,937 is 1932651515.
Thus, GCF of Fractions is 1/1932651515.Finally, GCF of Fractions for 2/67, 32/47, 80/655, 439/937 is 1/1932651515.