GCF of 5453/100, 5591/1961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5453/100, 5591/1961 i.e 1/196100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5453/100, 5591/1961.
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 5453/100,5591/1961?
Given fractions are 5453/100,5591/1961
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 5453/100,5591/1961, numerators are 5453,5591
Denominators are 100,1961
The GCF of 5453,5591 is 1 .
LCM of 100,1961 is 196100.
The greatest common factor of 5453/100,5591/1961 = [GCF of 5453,5591]/[LCM of 100,1961]= 1/196100
Therefore, the GCF of 5453/100,5591/1961 is 1/196100.
To find the highest common factor of 5453,5591, we have to find the factors of both numbers and list the highest common factor.
The factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453
The factors of 5591 are 1, 5591
The HCF of 5453,5591 is 1.
Lets's calculate GCF of 5453,5591
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5453,5591 By Matching Biggest Common Factor Method
Now, list down the factors of 5453
:1,7,19,41,133,287,779,5453
Now, list down the factors of 5591
:1,5591
Greatest Common Factor
We found the factors 5453,5591 . The biggest common factor number is the GCF number.
So the greatest common factor 5453,5591 is 1.
Lets's calculate LCM of 100,1961
Given numbers has no common factors except 1. So, there LCM is their product i.e 196100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196100
Therefore, the GCF of Fractions 5453/100,5591/1961 is 1/196100
Least Common Multiple of 100,1961 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 100,1961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,1961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,1961) x common factors =1 x 1 = 1
LCM(100,1961) = ( 100 × 1961 ) / 1
LCM(100,1961) = 196100 / 1
LCM(100,1961) = 196100
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FAQs on GCF of Fractions of 5453/100, 5591/1961
1. What is the HCF of 5453,5591?
The HCF of 5453,5591 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 5453/100, 5591/1961?
Answer: GCF of Numerators as per given numbers 5453/100, 5591/1961 is
GCF of Numerators i.e. for 5453,5591 is 1
LCM of denominators i.e. for 100,1961 is 196100.
Thus, GCF of Fractions is 1/196100.Finally, GCF of Fractions for 5453/100, 5591/1961 is 1/196100.