GCF of 1631/778, 2039/4037
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1631/778, 2039/4037 i.e 1/3140786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1631/778, 2039/4037.
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 1631/778,2039/4037?
Given fractions are 1631/778,2039/4037
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 1631/778,2039/4037, numerators are 1631,2039
Denominators are 778,4037
The GCF of 1631,2039 is 1 .
LCM of 778,4037 is 3140786.
The greatest common factor of 1631/778,2039/4037 = [GCF of 1631,2039]/[LCM of 778,4037]= 1/3140786
Therefore, the GCF of 1631/778,2039/4037 is 1/3140786.
To find the highest common factor of 1631,2039, we have to find the factors of both numbers and list the highest common factor.
The factors of 1631 are 1, 7, 233, 1631
The factors of 2039 are 1, 2039
The HCF of 1631,2039 is 1.
Lets's calculate GCF of 1631,2039
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1631,2039 By Matching Biggest Common Factor Method
Now, list down the factors of 1631
:1,7,233,1631
Now, list down the factors of 2039
:1,2039
Greatest Common Factor
We found the factors 1631,2039 . The biggest common factor number is the GCF number.
So the greatest common factor 1631,2039 is 1.
Lets's calculate LCM of 778,4037
Given numbers has no common factors except 1. So, there LCM is their product i.e 3140786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3140786
Therefore, the GCF of Fractions 1631/778,2039/4037 is 1/3140786
Least Common Multiple of 778,4037 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 778,4037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,4037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,4037) x common factors =1 x 1 = 1
LCM(778,4037) = ( 778 × 4037 ) / 1
LCM(778,4037) = 3140786 / 1
LCM(778,4037) = 3140786
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FAQs on GCF of Fractions of 1631/778, 2039/4037
1. What is the HCF of 1631,2039?
The HCF of 1631,2039 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 1631/778, 2039/4037?
Answer: GCF of Numerators as per given numbers 1631/778, 2039/4037 is
GCF of Numerators i.e. for 1631,2039 is 1
LCM of denominators i.e. for 778,4037 is 3140786.
Thus, GCF of Fractions is 1/3140786.Finally, GCF of Fractions for 1631/778, 2039/4037 is 1/3140786.