GCF of 1964/103, 3171/1001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1964/103, 3171/1001 i.e 1/103103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1964/103, 3171/1001.
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 1964/103,3171/1001?
Given fractions are 1964/103,3171/1001
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 1964/103,3171/1001, numerators are 1964,3171
Denominators are 103,1001
The GCF of 1964,3171 is 1 .
LCM of 103,1001 is 103103.
The greatest common factor of 1964/103,3171/1001 = [GCF of 1964,3171]/[LCM of 103,1001]= 1/103103
Therefore, the GCF of 1964/103,3171/1001 is 1/103103.
To find the highest common factor of 1964,3171, we have to find the factors of both numbers and list the highest common factor.
The factors of 1964 are 1, 2, 4, 491, 982, 1964
The factors of 3171 are 1, 3, 7, 21, 151, 453, 1057, 3171
The HCF of 1964,3171 is 1.
Lets's calculate GCF of 1964,3171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1964,3171 By Matching Biggest Common Factor Method
Now, list down the factors of 1964
:1,2,4,491,982,1964
Now, list down the factors of 3171
:1,3,7,21,151,453,1057,3171
Greatest Common Factor
We found the factors 1964,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 1964,3171 is 1.
Lets's calculate LCM of 103,1001
Given numbers has no common factors except 1. So, there LCM is their product i.e 103103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103103
Therefore, the GCF of Fractions 1964/103,3171/1001 is 1/103103
Least Common Multiple of 103,1001 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 103,1001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,1001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,1001) x common factors =1 x 1 = 1
LCM(103,1001) = ( 103 × 1001 ) / 1
LCM(103,1001) = 103103 / 1
LCM(103,1001) = 103103
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FAQs on GCF of Fractions of 1964/103, 3171/1001
1. What is the HCF of 1964,3171?
The HCF of 1964,3171 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 1964/103, 3171/1001?
Answer: GCF of Numerators as per given numbers 1964/103, 3171/1001 is
GCF of Numerators i.e. for 1964,3171 is 1
LCM of denominators i.e. for 103,1001 is 103103.
Thus, GCF of Fractions is 1/103103.Finally, GCF of Fractions for 1964/103, 3171/1001 is 1/103103.