GCF of 4968/348, 4223/3211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4968/348, 4223/3211 i.e 1/1117428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4968/348, 4223/3211.
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 4968/348,4223/3211?
Given fractions are 4968/348,4223/3211
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 4968/348,4223/3211, numerators are 4968,4223
Denominators are 348,3211
The GCF of 4968,4223 is 1 .
LCM of 348,3211 is 1117428.
The greatest common factor of 4968/348,4223/3211 = [GCF of 4968,4223]/[LCM of 348,3211]= 1/1117428
Therefore, the GCF of 4968/348,4223/3211 is 1/1117428.
To find the highest common factor of 4968,4223, we have to find the factors of both numbers and list the highest common factor.
The factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968
The factors of 4223 are 1, 41, 103, 4223
The HCF of 4968,4223 is 1.
Lets's calculate GCF of 4968,4223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4968,4223 By Matching Biggest Common Factor Method
Now, list down the factors of 4968
:1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968
Now, list down the factors of 4223
:1,41,103,4223
Greatest Common Factor
We found the factors 4968,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,4223 is 1.
Lets's calculate LCM of 348,3211
Given numbers has no common factors except 1. So, there LCM is their product i.e 1117428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1117428
Therefore, the GCF of Fractions 4968/348,4223/3211 is 1/1117428
Least Common Multiple of 348,3211 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 348,3211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,3211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(348,3211) x common factors =1 x 1 = 1
LCM(348,3211) = ( 348 × 3211 ) / 1
LCM(348,3211) = 1117428 / 1
LCM(348,3211) = 1117428
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FAQs on GCF of Fractions of 4968/348, 4223/3211
1. What is the HCF of 4968,4223?
The HCF of 4968,4223 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 4968/348, 4223/3211?
Answer: GCF of Numerators as per given numbers 4968/348, 4223/3211 is
GCF of Numerators i.e. for 4968,4223 is 1
LCM of denominators i.e. for 348,3211 is 1117428.
Thus, GCF of Fractions is 1/1117428.Finally, GCF of Fractions for 4968/348, 4223/3211 is 1/1117428.