GCF of 403/641, 5976/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 403/641, 5976/101 i.e 1/64741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 403/641, 5976/101.
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 403/641,5976/101?
Given fractions are 403/641,5976/101
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 403/641,5976/101, numerators are 403,5976
Denominators are 641,101
The GCF of 403,5976 is 1 .
LCM of 641,101 is 64741.
The greatest common factor of 403/641,5976/101 = [GCF of 403,5976]/[LCM of 641,101]= 1/64741
Therefore, the GCF of 403/641,5976/101 is 1/64741.
To find the highest common factor of 403,5976, we have to find the factors of both numbers and list the highest common factor.
The factors of 403 are 1, 13, 31, 403
The factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976
The HCF of 403,5976 is 1.
Lets's calculate GCF of 403,5976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 403,5976 By Matching Biggest Common Factor Method
Now, list down the factors of 403
:1,13,31,403
Now, list down the factors of 5976
:1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976
Greatest Common Factor
We found the factors 403,5976 . The biggest common factor number is the GCF number.
So the greatest common factor 403,5976 is 1.
Lets's calculate LCM of 641,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 64741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64741
Therefore, the GCF of Fractions 403/641,5976/101 is 1/64741
Least Common Multiple of 641,101 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 641,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,101) x common factors =1 x 1 = 1
LCM(641,101) = ( 641 × 101 ) / 1
LCM(641,101) = 64741 / 1
LCM(641,101) = 64741
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FAQs on GCF of Fractions of 403/641, 5976/101
1. What is the HCF of 403,5976?
The HCF of 403,5976 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 403/641, 5976/101?
Answer: GCF of Numerators as per given numbers 403/641, 5976/101 is
GCF of Numerators i.e. for 403,5976 is 1
LCM of denominators i.e. for 641,101 is 64741.
Thus, GCF of Fractions is 1/64741.Finally, GCF of Fractions for 403/641, 5976/101 is 1/64741.