GCF of 6031/672, 6118/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6031/672, 6118/449 i.e 1/301728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6031/672, 6118/449.
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 6031/672,6118/449?
Given fractions are 6031/672,6118/449
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 6031/672,6118/449, numerators are 6031,6118
Denominators are 672,449
The GCF of 6031,6118 is 1 .
LCM of 672,449 is 301728.
The greatest common factor of 6031/672,6118/449 = [GCF of 6031,6118]/[LCM of 672,449]= 1/301728
Therefore, the GCF of 6031/672,6118/449 is 1/301728.
To find the highest common factor of 6031,6118, we have to find the factors of both numbers and list the highest common factor.
The factors of 6031 are 1, 37, 163, 6031
The factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118
The HCF of 6031,6118 is 1.
Lets's calculate GCF of 6031,6118
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6031,6118 By Matching Biggest Common Factor Method
Now, list down the factors of 6031
:1,37,163,6031
Now, list down the factors of 6118
:1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118
Greatest Common Factor
We found the factors 6031,6118 . The biggest common factor number is the GCF number.
So the greatest common factor 6031,6118 is 1.
Lets's calculate LCM of 672,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 301728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301728
Therefore, the GCF of Fractions 6031/672,6118/449 is 1/301728
Least Common Multiple of 672,449 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 672,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(672,449) x common factors =1 x 1 = 1
LCM(672,449) = ( 672 × 449 ) / 1
LCM(672,449) = 301728 / 1
LCM(672,449) = 301728
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FAQs on GCF of Fractions of 6031/672, 6118/449
1. What is the HCF of 6031,6118?
The HCF of 6031,6118 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 6031/672, 6118/449?
Answer: GCF of Numerators as per given numbers 6031/672, 6118/449 is
GCF of Numerators i.e. for 6031,6118 is 1
LCM of denominators i.e. for 672,449 is 301728.
Thus, GCF of Fractions is 1/301728.Finally, GCF of Fractions for 6031/672, 6118/449 is 1/301728.