GCF of 4953/731, 9671/4417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4953/731, 9671/4417 i.e 1/3228827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4953/731, 9671/4417.
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 4953/731,9671/4417?
Given fractions are 4953/731,9671/4417
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 4953/731,9671/4417, numerators are 4953,9671
Denominators are 731,4417
The GCF of 4953,9671 is 1 .
LCM of 731,4417 is 3228827.
The greatest common factor of 4953/731,9671/4417 = [GCF of 4953,9671]/[LCM of 731,4417]= 1/3228827
Therefore, the GCF of 4953/731,9671/4417 is 1/3228827.
To find the highest common factor of 4953,9671, we have to find the factors of both numbers and list the highest common factor.
The factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953
The factors of 9671 are 1, 19, 509, 9671
The HCF of 4953,9671 is 1.
Lets's calculate GCF of 4953,9671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4953,9671 By Matching Biggest Common Factor Method
Now, list down the factors of 4953
:1,3,13,39,127,381,1651,4953
Now, list down the factors of 9671
:1,19,509,9671
Greatest Common Factor
We found the factors 4953,9671 . The biggest common factor number is the GCF number.
So the greatest common factor 4953,9671 is 1.
Lets's calculate LCM of 731,4417
Given numbers has no common factors except 1. So, there LCM is their product i.e 3228827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3228827
Therefore, the GCF of Fractions 4953/731,9671/4417 is 1/3228827
Least Common Multiple of 731,4417 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 731,4417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,4417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,4417) x common factors =1 x 1 = 1
LCM(731,4417) = ( 731 × 4417 ) / 1
LCM(731,4417) = 3228827 / 1
LCM(731,4417) = 3228827
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FAQs on GCF of Fractions of 4953/731, 9671/4417
1. What is the HCF of 4953,9671?
The HCF of 4953,9671 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 4953/731, 9671/4417?
Answer: GCF of Numerators as per given numbers 4953/731, 9671/4417 is
GCF of Numerators i.e. for 4953,9671 is 1
LCM of denominators i.e. for 731,4417 is 3228827.
Thus, GCF of Fractions is 1/3228827.Finally, GCF of Fractions for 4953/731, 9671/4417 is 1/3228827.