GCF of 5343/967, 9970/5581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5343/967, 9970/5581 i.e 1/5396827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5343/967, 9970/5581.
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 5343/967,9970/5581?
Given fractions are 5343/967,9970/5581
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 5343/967,9970/5581, numerators are 5343,9970
Denominators are 967,5581
The GCF of 5343,9970 is 1 .
LCM of 967,5581 is 5396827.
The greatest common factor of 5343/967,9970/5581 = [GCF of 5343,9970]/[LCM of 967,5581]= 1/5396827
Therefore, the GCF of 5343/967,9970/5581 is 1/5396827.
To find the highest common factor of 5343,9970, we have to find the factors of both numbers and list the highest common factor.
The factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343
The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970
The HCF of 5343,9970 is 1.
Lets's calculate GCF of 5343,9970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5343,9970 By Matching Biggest Common Factor Method
Now, list down the factors of 5343
:1,3,13,39,137,411,1781,5343
Now, list down the factors of 9970
:1,2,5,10,997,1994,4985,9970
Greatest Common Factor
We found the factors 5343,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 5343,9970 is 1.
Lets's calculate LCM of 967,5581
Given numbers has no common factors except 1. So, there LCM is their product i.e 5396827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5396827
Therefore, the GCF of Fractions 5343/967,9970/5581 is 1/5396827
Least Common Multiple of 967,5581 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 967,5581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,5581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,5581) x common factors =1 x 1 = 1
LCM(967,5581) = ( 967 × 5581 ) / 1
LCM(967,5581) = 5396827 / 1
LCM(967,5581) = 5396827
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FAQs on GCF of Fractions of 5343/967, 9970/5581
1. What is the HCF of 5343,9970?
The HCF of 5343,9970 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 5343/967, 9970/5581?
Answer: GCF of Numerators as per given numbers 5343/967, 9970/5581 is
GCF of Numerators i.e. for 5343,9970 is 1
LCM of denominators i.e. for 967,5581 is 5396827.
Thus, GCF of Fractions is 1/5396827.Finally, GCF of Fractions for 5343/967, 9970/5581 is 1/5396827.