GCF of 9790/464, 8477/6359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9790/464, 8477/6359 i.e 1/2950576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9790/464, 8477/6359.
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 9790/464,8477/6359?
Given fractions are 9790/464,8477/6359
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 9790/464,8477/6359, numerators are 9790,8477
Denominators are 464,6359
The GCF of 9790,8477 is 1 .
LCM of 464,6359 is 2950576.
The greatest common factor of 9790/464,8477/6359 = [GCF of 9790,8477]/[LCM of 464,6359]= 1/2950576
Therefore, the GCF of 9790/464,8477/6359 is 1/2950576.
To find the highest common factor of 9790,8477, we have to find the factors of both numbers and list the highest common factor.
The factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790
The factors of 8477 are 1, 7, 49, 173, 1211, 8477
The HCF of 9790,8477 is 1.
Lets's calculate GCF of 9790,8477
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9790,8477 By Matching Biggest Common Factor Method
Now, list down the factors of 9790
:1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790
Now, list down the factors of 8477
:1,7,49,173,1211,8477
Greatest Common Factor
We found the factors 9790,8477 . The biggest common factor number is the GCF number.
So the greatest common factor 9790,8477 is 1.
Lets's calculate LCM of 464,6359
Given numbers has no common factors except 1. So, there LCM is their product i.e 2950576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2950576
Therefore, the GCF of Fractions 9790/464,8477/6359 is 1/2950576
Least Common Multiple of 464,6359 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 464,6359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,6359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,6359) x common factors =1 x 1 = 1
LCM(464,6359) = ( 464 × 6359 ) / 1
LCM(464,6359) = 2950576 / 1
LCM(464,6359) = 2950576
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FAQs on GCF of Fractions of 9790/464, 8477/6359
1. What is the HCF of 9790,8477?
The HCF of 9790,8477 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 9790/464, 8477/6359?
Answer: GCF of Numerators as per given numbers 9790/464, 8477/6359 is
GCF of Numerators i.e. for 9790,8477 is 1
LCM of denominators i.e. for 464,6359 is 2950576.
Thus, GCF of Fractions is 1/2950576.Finally, GCF of Fractions for 9790/464, 8477/6359 is 1/2950576.