GCF of 4561/997, 1775/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4561/997, 1775/360 i.e 1/358920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4561/997, 1775/360.
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 4561/997,1775/360?
Given fractions are 4561/997,1775/360
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 4561/997,1775/360, numerators are 4561,1775
Denominators are 997,360
The GCF of 4561,1775 is 1 .
LCM of 997,360 is 358920.
The greatest common factor of 4561/997,1775/360 = [GCF of 4561,1775]/[LCM of 997,360]= 1/358920
Therefore, the GCF of 4561/997,1775/360 is 1/358920.
To find the highest common factor of 4561,1775, we have to find the factors of both numbers and list the highest common factor.
The factors of 4561 are 1, 4561
The factors of 1775 are 1, 5, 25, 71, 355, 1775
The HCF of 4561,1775 is 1.
Lets's calculate GCF of 4561,1775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4561,1775 By Matching Biggest Common Factor Method
Now, list down the factors of 4561
:1,4561
Now, list down the factors of 1775
:1,5,25,71,355,1775
Greatest Common Factor
We found the factors 4561,1775 . The biggest common factor number is the GCF number.
So the greatest common factor 4561,1775 is 1.
Lets's calculate LCM of 997,360
Given numbers has no common factors except 1. So, there LCM is their product i.e 358920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358920
Therefore, the GCF of Fractions 4561/997,1775/360 is 1/358920
Least Common Multiple of 997,360 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 997,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,360) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,360) x common factors =1 x 1 = 1
LCM(997,360) = ( 997 × 360 ) / 1
LCM(997,360) = 358920 / 1
LCM(997,360) = 358920
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FAQs on GCF of Fractions of 4561/997, 1775/360
1. What is the HCF of 4561,1775?
The HCF of 4561,1775 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 4561/997, 1775/360?
Answer: GCF of Numerators as per given numbers 4561/997, 1775/360 is
GCF of Numerators i.e. for 4561,1775 is 1
LCM of denominators i.e. for 997,360 is 358920.
Thus, GCF of Fractions is 1/358920.Finally, GCF of Fractions for 4561/997, 1775/360 is 1/358920.