GCF of 3923/102, 9256/5475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3923/102, 9256/5475 i.e 1/186150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3923/102, 9256/5475.
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 3923/102,9256/5475?
Given fractions are 3923/102,9256/5475
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 3923/102,9256/5475, numerators are 3923,9256
Denominators are 102,5475
The GCF of 3923,9256 is 1 .
LCM of 102,5475 is 186150.
The greatest common factor of 3923/102,9256/5475 = [GCF of 3923,9256]/[LCM of 102,5475]= 1/186150
Therefore, the GCF of 3923/102,9256/5475 is 1/186150.
To find the highest common factor of 3923,9256, we have to find the factors of both numbers and list the highest common factor.
The factors of 3923 are 1, 3923
The factors of 9256 are 1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256
The HCF of 3923,9256 is 1.
Lets's calculate GCF of 3923,9256
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3923,9256 By Matching Biggest Common Factor Method
Now, list down the factors of 3923
:1,3923
Now, list down the factors of 9256
:1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256
Greatest Common Factor
We found the factors 3923,9256 . The biggest common factor number is the GCF number.
So the greatest common factor 3923,9256 is 1.
Lets's calculate LCM of 102,5475
| 3 | 102, 5475 |
| 34, 1825 |
∴ So the LCM of the given numbers is 3 x 34 x 1825 = 186150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186150
Therefore, the GCF of Fractions 3923/102,9256/5475 is 1/186150
Least Common Multiple of 102,5475 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 102,5475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,5475) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(102,5475) x common factors =3 x 1 = 3
LCM(102,5475) = ( 102 × 5475 ) / 3
LCM(102,5475) = 558450 / 3
LCM(102,5475) = 186150
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FAQs on GCF of Fractions of 3923/102, 9256/5475
1. What is the HCF of 3923,9256?
The HCF of 3923,9256 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 3923/102, 9256/5475?
Answer: GCF of Numerators as per given numbers 3923/102, 9256/5475 is
GCF of Numerators i.e. for 3923,9256 is 1
LCM of denominators i.e. for 102,5475 is 186150.
Thus, GCF of Fractions is 1/186150.Finally, GCF of Fractions for 3923/102, 9256/5475 is 1/186150.