GCF of 3229/508, 2514/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3229/508, 2514/402 i.e 1/102108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3229/508, 2514/402.
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 3229/508,2514/402?
Given fractions are 3229/508,2514/402
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 3229/508,2514/402, numerators are 3229,2514
Denominators are 508,402
The GCF of 3229,2514 is 1 .
LCM of 508,402 is 102108.
The greatest common factor of 3229/508,2514/402 = [GCF of 3229,2514]/[LCM of 508,402]= 1/102108
Therefore, the GCF of 3229/508,2514/402 is 1/102108.
To find the highest common factor of 3229,2514, we have to find the factors of both numbers and list the highest common factor.
The factors of 3229 are 1, 3229
The factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514
The HCF of 3229,2514 is 1.
Lets's calculate GCF of 3229,2514
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3229,2514 By Matching Biggest Common Factor Method
Now, list down the factors of 3229
:1,3229
Now, list down the factors of 2514
:1,2,3,6,419,838,1257,2514
Greatest Common Factor
We found the factors 3229,2514 . The biggest common factor number is the GCF number.
So the greatest common factor 3229,2514 is 1.
Lets's calculate LCM of 508,402
| 2 | 508, 402 |
| 254, 201 |
∴ So the LCM of the given numbers is 2 x 254 x 201 = 102108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102108
Therefore, the GCF of Fractions 3229/508,2514/402 is 1/102108
Least Common Multiple of 508,402 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 508,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,402) x common factors =2 x 1 = 2
LCM(508,402) = ( 508 × 402 ) / 2
LCM(508,402) = 204216 / 2
LCM(508,402) = 102108
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FAQs on GCF of Fractions of 3229/508, 2514/402
1. What is the HCF of 3229,2514?
The HCF of 3229,2514 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 3229/508, 2514/402?
Answer: GCF of Numerators as per given numbers 3229/508, 2514/402 is
GCF of Numerators i.e. for 3229,2514 is 1
LCM of denominators i.e. for 508,402 is 102108.
Thus, GCF of Fractions is 1/102108.Finally, GCF of Fractions for 3229/508, 2514/402 is 1/102108.