GCF of 339/641, 1075/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 339/641, 1075/677 i.e 1/433957 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/641, 1075/677.
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 339/641,1075/677?
Given fractions are 339/641,1075/677
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 339/641,1075/677, numerators are 339,1075
Denominators are 641,677
The GCF of 339,1075 is 1 .
LCM of 641,677 is 433957.
The greatest common factor of 339/641,1075/677 = [GCF of 339,1075]/[LCM of 641,677]= 1/433957
Therefore, the GCF of 339/641,1075/677 is 1/433957.
To find the highest common factor of 339,1075, we have to find the factors of both numbers and list the highest common factor.
The factors of 339 are 1, 3, 113, 339
The factors of 1075 are 1, 5, 25, 43, 215, 1075
The HCF of 339,1075 is 1.
Lets's calculate GCF of 339,1075
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 339,1075 By Matching Biggest Common Factor Method
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 1075
:1,5,25,43,215,1075
Greatest Common Factor
We found the factors 339,1075 . The biggest common factor number is the GCF number.
So the greatest common factor 339,1075 is 1.
Lets's calculate LCM of 641,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 433957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433957
Therefore, the GCF of Fractions 339/641,1075/677 is 1/433957
Least Common Multiple of 641,677 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 641,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,677) x common factors =1 x 1 = 1
LCM(641,677) = ( 641 × 677 ) / 1
LCM(641,677) = 433957 / 1
LCM(641,677) = 433957
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FAQs on GCF of Fractions of 339/641, 1075/677
1. What is the HCF of 339,1075?
The HCF of 339,1075 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 339/641, 1075/677?
Answer: GCF of Numerators as per given numbers 339/641, 1075/677 is
GCF of Numerators i.e. for 339,1075 is 1
LCM of denominators i.e. for 641,677 is 433957.
Thus, GCF of Fractions is 1/433957.Finally, GCF of Fractions for 339/641, 1075/677 is 1/433957.