GCF of 4547/353, 6845/553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4547/353, 6845/553 i.e 1/195209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4547/353, 6845/553.
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 4547/353,6845/553?
Given fractions are 4547/353,6845/553
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 4547/353,6845/553, numerators are 4547,6845
Denominators are 353,553
The GCF of 4547,6845 is 1 .
LCM of 353,553 is 195209.
The greatest common factor of 4547/353,6845/553 = [GCF of 4547,6845]/[LCM of 353,553]= 1/195209
Therefore, the GCF of 4547/353,6845/553 is 1/195209.
To find the highest common factor of 4547,6845, we have to find the factors of both numbers and list the highest common factor.
The factors of 4547 are 1, 4547
The factors of 6845 are 1, 5, 37, 185, 1369, 6845
The HCF of 4547,6845 is 1.
Lets's calculate GCF of 4547,6845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4547,6845 By Matching Biggest Common Factor Method
Now, list down the factors of 4547
:1,4547
Now, list down the factors of 6845
:1,5,37,185,1369,6845
Greatest Common Factor
We found the factors 4547,6845 . The biggest common factor number is the GCF number.
So the greatest common factor 4547,6845 is 1.
Lets's calculate LCM of 353,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 195209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195209
Therefore, the GCF of Fractions 4547/353,6845/553 is 1/195209
Least Common Multiple of 353,553 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 353,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,553) x common factors =1 x 1 = 1
LCM(353,553) = ( 353 × 553 ) / 1
LCM(353,553) = 195209 / 1
LCM(353,553) = 195209
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FAQs on GCF of Fractions of 4547/353, 6845/553
1. What is the HCF of 4547,6845?
The HCF of 4547,6845 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 4547/353, 6845/553?
Answer: GCF of Numerators as per given numbers 4547/353, 6845/553 is
GCF of Numerators i.e. for 4547,6845 is 1
LCM of denominators i.e. for 353,553 is 195209.
Thus, GCF of Fractions is 1/195209.Finally, GCF of Fractions for 4547/353, 6845/553 is 1/195209.