GCF of 4053/766, 1970/3689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4053/766, 1970/3689 i.e 1/2825774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4053/766, 1970/3689.
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 4053/766,1970/3689?
Given fractions are 4053/766,1970/3689
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 4053/766,1970/3689, numerators are 4053,1970
Denominators are 766,3689
The GCF of 4053,1970 is 1 .
LCM of 766,3689 is 2825774.
The greatest common factor of 4053/766,1970/3689 = [GCF of 4053,1970]/[LCM of 766,3689]= 1/2825774
Therefore, the GCF of 4053/766,1970/3689 is 1/2825774.
To find the highest common factor of 4053,1970, we have to find the factors of both numbers and list the highest common factor.
The factors of 4053 are 1, 3, 7, 21, 193, 579, 1351, 4053
The factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970
The HCF of 4053,1970 is 1.
Lets's calculate GCF of 4053,1970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4053,1970 By Matching Biggest Common Factor Method
Now, list down the factors of 4053
:1,3,7,21,193,579,1351,4053
Now, list down the factors of 1970
:1,2,5,10,197,394,985,1970
Greatest Common Factor
We found the factors 4053,1970 . The biggest common factor number is the GCF number.
So the greatest common factor 4053,1970 is 1.
Lets's calculate LCM of 766,3689
Given numbers has no common factors except 1. So, there LCM is their product i.e 2825774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2825774
Therefore, the GCF of Fractions 4053/766,1970/3689 is 1/2825774
Least Common Multiple of 766,3689 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 766,3689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,3689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,3689) x common factors =1 x 1 = 1
LCM(766,3689) = ( 766 × 3689 ) / 1
LCM(766,3689) = 2825774 / 1
LCM(766,3689) = 2825774
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FAQs on GCF of Fractions of 4053/766, 1970/3689
1. What is the HCF of 4053,1970?
The HCF of 4053,1970 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 4053/766, 1970/3689?
Answer: GCF of Numerators as per given numbers 4053/766, 1970/3689 is
GCF of Numerators i.e. for 4053,1970 is 1
LCM of denominators i.e. for 766,3689 is 2825774.
Thus, GCF of Fractions is 1/2825774.Finally, GCF of Fractions for 4053/766, 1970/3689 is 1/2825774.