GCF of 3262/975, 5004/5161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3262/975, 5004/5161 i.e 2/387075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3262/975, 5004/5161.
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 3262/975,5004/5161?
Given fractions are 3262/975,5004/5161
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 3262/975,5004/5161, numerators are 3262,5004
Denominators are 975,5161
The GCF of 3262,5004 is 2 .
LCM of 975,5161 is 387075.
The greatest common factor of 3262/975,5004/5161 = [GCF of 3262,5004]/[LCM of 975,5161]= 2/387075
Therefore, the GCF of 3262/975,5004/5161 is 2/387075.
To find the highest common factor of 3262,5004, we have to find the factors of both numbers and list the highest common factor.
The factors of 3262 are 1, 2, 7, 14, 233, 466, 1631, 3262
The factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004
The HCF of 3262,5004 is 2.
Lets's calculate GCF of 3262,5004
| 2 | 3262, 5004 |
| 1631, 2502 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3262,5004 By Matching Biggest Common Factor Method
Now, list down the factors of 3262
:1,2,7,14,233,466,1631,3262
Now, list down the factors of 5004
:1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004
Greatest Common Factor
We found the factors 3262,5004 . The biggest common factor number is the GCF number.
So the greatest common factor 3262,5004 is 2.
Lets's calculate LCM of 975,5161
| 13 | 975, 5161 |
| 75, 397 |
∴ So the LCM of the given numbers is 13 x 75 x 397 = 387075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387075
Therefore, the GCF of Fractions 3262/975,5004/5161 is 2/387075
Least Common Multiple of 975,5161 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 975,5161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,5161) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(975,5161) x common factors =13 x 1 = 13
LCM(975,5161) = ( 975 × 5161 ) / 13
LCM(975,5161) = 5031975 / 13
LCM(975,5161) = 387075
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FAQs on GCF of Fractions of 3262/975, 5004/5161
1. What is the HCF of 3262,5004?
The HCF of 3262,5004 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 3262/975, 5004/5161?
Answer: GCF of Numerators as per given numbers 3262/975, 5004/5161 is
GCF of Numerators i.e. for 3262,5004 is 2
LCM of denominators i.e. for 975,5161 is 387075.
Thus, GCF of Fractions is 2/387075.Finally, GCF of Fractions for 3262/975, 5004/5161 is 2/387075.