GCF of 6671/643, 3936/880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6671/643, 3936/880 i.e 1/565840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6671/643, 3936/880.
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 6671/643,3936/880?
Given fractions are 6671/643,3936/880
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 6671/643,3936/880, numerators are 6671,3936
Denominators are 643,880
The GCF of 6671,3936 is 1 .
LCM of 643,880 is 565840.
The greatest common factor of 6671/643,3936/880 = [GCF of 6671,3936]/[LCM of 643,880]= 1/565840
Therefore, the GCF of 6671/643,3936/880 is 1/565840.
To find the highest common factor of 6671,3936, we have to find the factors of both numbers and list the highest common factor.
The factors of 6671 are 1, 7, 953, 6671
The factors of 3936 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 82, 96, 123, 164, 246, 328, 492, 656, 984, 1312, 1968, 3936
The HCF of 6671,3936 is 1.
Lets's calculate GCF of 6671,3936
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6671,3936 By Matching Biggest Common Factor Method
Now, list down the factors of 6671
:1,7,953,6671
Now, list down the factors of 3936
:1,2,3,4,6,8,12,16,24,32,41,48,82,96,123,164,246,328,492,656,984,1312,1968,3936
Greatest Common Factor
We found the factors 6671,3936 . The biggest common factor number is the GCF number.
So the greatest common factor 6671,3936 is 1.
Lets's calculate LCM of 643,880
Given numbers has no common factors except 1. So, there LCM is their product i.e 565840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565840
Therefore, the GCF of Fractions 6671/643,3936/880 is 1/565840
Least Common Multiple of 643,880 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 643,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,880) x common factors =1 x 1 = 1
LCM(643,880) = ( 643 × 880 ) / 1
LCM(643,880) = 565840 / 1
LCM(643,880) = 565840
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FAQs on GCF of Fractions of 6671/643, 3936/880
1. What is the HCF of 6671,3936?
The HCF of 6671,3936 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 6671/643, 3936/880?
Answer: GCF of Numerators as per given numbers 6671/643, 3936/880 is
GCF of Numerators i.e. for 6671,3936 is 1
LCM of denominators i.e. for 643,880 is 565840.
Thus, GCF of Fractions is 1/565840.Finally, GCF of Fractions for 6671/643, 3936/880 is 1/565840.