GCF of 4790/959, 6101/9371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4790/959, 6101/9371 i.e 1/8986789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4790/959, 6101/9371.
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 4790/959,6101/9371?
Given fractions are 4790/959,6101/9371
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 4790/959,6101/9371, numerators are 4790,6101
Denominators are 959,9371
The GCF of 4790,6101 is 1 .
LCM of 959,9371 is 8986789.
The greatest common factor of 4790/959,6101/9371 = [GCF of 4790,6101]/[LCM of 959,9371]= 1/8986789
Therefore, the GCF of 4790/959,6101/9371 is 1/8986789.
To find the highest common factor of 4790,6101, we have to find the factors of both numbers and list the highest common factor.
The factors of 4790 are 1, 2, 5, 10, 479, 958, 2395, 4790
The factors of 6101 are 1, 6101
The HCF of 4790,6101 is 1.
Lets's calculate GCF of 4790,6101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4790,6101 By Matching Biggest Common Factor Method
Now, list down the factors of 4790
:1,2,5,10,479,958,2395,4790
Now, list down the factors of 6101
:1,6101
Greatest Common Factor
We found the factors 4790,6101 . The biggest common factor number is the GCF number.
So the greatest common factor 4790,6101 is 1.
Lets's calculate LCM of 959,9371
Given numbers has no common factors except 1. So, there LCM is their product i.e 8986789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8986789
Therefore, the GCF of Fractions 4790/959,6101/9371 is 1/8986789
Least Common Multiple of 959,9371 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 959,9371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,9371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,9371) x common factors =1 x 1 = 1
LCM(959,9371) = ( 959 × 9371 ) / 1
LCM(959,9371) = 8986789 / 1
LCM(959,9371) = 8986789
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FAQs on GCF of Fractions of 4790/959, 6101/9371
1. What is the HCF of 4790,6101?
The HCF of 4790,6101 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 4790/959, 6101/9371?
Answer: GCF of Numerators as per given numbers 4790/959, 6101/9371 is
GCF of Numerators i.e. for 4790,6101 is 1
LCM of denominators i.e. for 959,9371 is 8986789.
Thus, GCF of Fractions is 1/8986789.Finally, GCF of Fractions for 4790/959, 6101/9371 is 1/8986789.