GCF of 4228/951, 3519/214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4228/951, 3519/214 i.e 1/203514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4228/951, 3519/214.
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 4228/951,3519/214?
Given fractions are 4228/951,3519/214
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 4228/951,3519/214, numerators are 4228,3519
Denominators are 951,214
The GCF of 4228,3519 is 1 .
LCM of 951,214 is 203514.
The greatest common factor of 4228/951,3519/214 = [GCF of 4228,3519]/[LCM of 951,214]= 1/203514
Therefore, the GCF of 4228/951,3519/214 is 1/203514.
To find the highest common factor of 4228,3519, we have to find the factors of both numbers and list the highest common factor.
The factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228
The factors of 3519 are 1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173, 3519
The HCF of 4228,3519 is 1.
Lets's calculate GCF of 4228,3519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4228,3519 By Matching Biggest Common Factor Method
Now, list down the factors of 4228
:1,2,4,7,14,28,151,302,604,1057,2114,4228
Now, list down the factors of 3519
:1,3,9,17,23,51,69,153,207,391,1173,3519
Greatest Common Factor
We found the factors 4228,3519 . The biggest common factor number is the GCF number.
So the greatest common factor 4228,3519 is 1.
Lets's calculate LCM of 951,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 203514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203514
Therefore, the GCF of Fractions 4228/951,3519/214 is 1/203514
Least Common Multiple of 951,214 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 951,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(951,214) x common factors =1 x 1 = 1
LCM(951,214) = ( 951 × 214 ) / 1
LCM(951,214) = 203514 / 1
LCM(951,214) = 203514
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FAQs on GCF of Fractions of 4228/951, 3519/214
1. What is the HCF of 4228,3519?
The HCF of 4228,3519 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 4228/951, 3519/214?
Answer: GCF of Numerators as per given numbers 4228/951, 3519/214 is
GCF of Numerators i.e. for 4228,3519 is 1
LCM of denominators i.e. for 951,214 is 203514.
Thus, GCF of Fractions is 1/203514.Finally, GCF of Fractions for 4228/951, 3519/214 is 1/203514.