GCF of 4904/252, 6122/3100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4904/252, 6122/3100 i.e 2/195300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4904/252, 6122/3100.
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 4904/252,6122/3100?
Given fractions are 4904/252,6122/3100
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 4904/252,6122/3100, numerators are 4904,6122
Denominators are 252,3100
The GCF of 4904,6122 is 2 .
LCM of 252,3100 is 195300.
The greatest common factor of 4904/252,6122/3100 = [GCF of 4904,6122]/[LCM of 252,3100]= 2/195300
Therefore, the GCF of 4904/252,6122/3100 is 2/195300.
To find the highest common factor of 4904,6122, we have to find the factors of both numbers and list the highest common factor.
The factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904
The factors of 6122 are 1, 2, 3061, 6122
The HCF of 4904,6122 is 2.
Lets's calculate GCF of 4904,6122
| 2 | 4904, 6122 |
| 2452, 3061 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4904,6122 By Matching Biggest Common Factor Method
Now, list down the factors of 4904
:1,2,4,8,613,1226,2452,4904
Now, list down the factors of 6122
:1,2,3061,6122
Greatest Common Factor
We found the factors 4904,6122 . The biggest common factor number is the GCF number.
So the greatest common factor 4904,6122 is 2.
Lets's calculate LCM of 252,3100
| 2 | 252, 3100 |
| 2 | 126, 1550 |
| 63, 775 |
∴ So the LCM of the given numbers is 2 x 2 x 63 x 775 = 195300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/195300
Therefore, the GCF of Fractions 4904/252,6122/3100 is 2/195300
Least Common Multiple of 252,3100 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 252,3100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,3100) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(252,3100) x common factors =4 x 1 = 4
LCM(252,3100) = ( 252 × 3100 ) / 4
LCM(252,3100) = 781200 / 4
LCM(252,3100) = 195300
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FAQs on GCF of Fractions of 4904/252, 6122/3100
1. What is the HCF of 4904,6122?
The HCF of 4904,6122 is 2
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 4904/252, 6122/3100?
Answer: GCF of Numerators as per given numbers 4904/252, 6122/3100 is
GCF of Numerators i.e. for 4904,6122 is 2
LCM of denominators i.e. for 252,3100 is 195300.
Thus, GCF of Fractions is 2/195300.Finally, GCF of Fractions for 4904/252, 6122/3100 is 2/195300.