GCF of 5123/218, 7420/5633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5123/218, 7420/5633 i.e 1/1227994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5123/218, 7420/5633.
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 5123/218,7420/5633?
Given fractions are 5123/218,7420/5633
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 5123/218,7420/5633, numerators are 5123,7420
Denominators are 218,5633
The GCF of 5123,7420 is 1 .
LCM of 218,5633 is 1227994.
The greatest common factor of 5123/218,7420/5633 = [GCF of 5123,7420]/[LCM of 218,5633]= 1/1227994
Therefore, the GCF of 5123/218,7420/5633 is 1/1227994.
To find the highest common factor of 5123,7420, we have to find the factors of both numbers and list the highest common factor.
The factors of 5123 are 1, 47, 109, 5123
The factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420
The HCF of 5123,7420 is 1.
Lets's calculate GCF of 5123,7420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5123,7420 By Matching Biggest Common Factor Method
Now, list down the factors of 5123
:1,47,109,5123
Now, list down the factors of 7420
:1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420
Greatest Common Factor
We found the factors 5123,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 5123,7420 is 1.
Lets's calculate LCM of 218,5633
Given numbers has no common factors except 1. So, there LCM is their product i.e 1227994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1227994
Therefore, the GCF of Fractions 5123/218,7420/5633 is 1/1227994
Least Common Multiple of 218,5633 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 218,5633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,5633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,5633) x common factors =1 x 1 = 1
LCM(218,5633) = ( 218 × 5633 ) / 1
LCM(218,5633) = 1227994 / 1
LCM(218,5633) = 1227994
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FAQs on GCF of Fractions of 5123/218, 7420/5633
1. What is the HCF of 5123,7420?
The HCF of 5123,7420 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 5123/218, 7420/5633?
Answer: GCF of Numerators as per given numbers 5123/218, 7420/5633 is
GCF of Numerators i.e. for 5123,7420 is 1
LCM of denominators i.e. for 218,5633 is 1227994.
Thus, GCF of Fractions is 1/1227994.Finally, GCF of Fractions for 5123/218, 7420/5633 is 1/1227994.