GCF of 3935/637, 1642/6701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3935/637, 1642/6701 i.e 1/4268537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3935/637, 1642/6701.
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 3935/637,1642/6701?
Given fractions are 3935/637,1642/6701
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 3935/637,1642/6701, numerators are 3935,1642
Denominators are 637,6701
The GCF of 3935,1642 is 1 .
LCM of 637,6701 is 4268537.
The greatest common factor of 3935/637,1642/6701 = [GCF of 3935,1642]/[LCM of 637,6701]= 1/4268537
Therefore, the GCF of 3935/637,1642/6701 is 1/4268537.
To find the highest common factor of 3935,1642, we have to find the factors of both numbers and list the highest common factor.
The factors of 3935 are 1, 5, 787, 3935
The factors of 1642 are 1, 2, 821, 1642
The HCF of 3935,1642 is 1.
Lets's calculate GCF of 3935,1642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3935,1642 By Matching Biggest Common Factor Method
Now, list down the factors of 3935
:1,5,787,3935
Now, list down the factors of 1642
:1,2,821,1642
Greatest Common Factor
We found the factors 3935,1642 . The biggest common factor number is the GCF number.
So the greatest common factor 3935,1642 is 1.
Lets's calculate LCM of 637,6701
Given numbers has no common factors except 1. So, there LCM is their product i.e 4268537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4268537
Therefore, the GCF of Fractions 3935/637,1642/6701 is 1/4268537
Least Common Multiple of 637,6701 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 637,6701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,6701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,6701) x common factors =1 x 1 = 1
LCM(637,6701) = ( 637 × 6701 ) / 1
LCM(637,6701) = 4268537 / 1
LCM(637,6701) = 4268537
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FAQs on GCF of Fractions of 3935/637, 1642/6701
1. What is the HCF of 3935,1642?
The HCF of 3935,1642 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 3935/637, 1642/6701?
Answer: GCF of Numerators as per given numbers 3935/637, 1642/6701 is
GCF of Numerators i.e. for 3935,1642 is 1
LCM of denominators i.e. for 637,6701 is 4268537.
Thus, GCF of Fractions is 1/4268537.Finally, GCF of Fractions for 3935/637, 1642/6701 is 1/4268537.