GCF of 3875/410, 9148/9840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3875/410, 9148/9840 i.e 1/9840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3875/410, 9148/9840.
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 3875/410,9148/9840?
Given fractions are 3875/410,9148/9840
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 3875/410,9148/9840, numerators are 3875,9148
Denominators are 410,9840
The GCF of 3875,9148 is 1 .
LCM of 410,9840 is 9840.
The greatest common factor of 3875/410,9148/9840 = [GCF of 3875,9148]/[LCM of 410,9840]= 1/9840
Therefore, the GCF of 3875/410,9148/9840 is 1/9840.
To find the highest common factor of 3875,9148, we have to find the factors of both numbers and list the highest common factor.
The factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875
The factors of 9148 are 1, 2, 4, 2287, 4574, 9148
The HCF of 3875,9148 is 1.
Lets's calculate GCF of 3875,9148
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3875,9148 By Matching Biggest Common Factor Method
Now, list down the factors of 3875
:1,5,25,31,125,155,775,3875
Now, list down the factors of 9148
:1,2,4,2287,4574,9148
Greatest Common Factor
We found the factors 3875,9148 . The biggest common factor number is the GCF number.
So the greatest common factor 3875,9148 is 1.
Lets's calculate LCM of 410,9840
| 2 | 410, 9840 |
| 5 | 205, 4920 |
| 41 | 41, 984 |
| 1, 24 |
∴ So the LCM of the given numbers is 2 x 5 x 41 x 1 x 24 = 9840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9840
Therefore, the GCF of Fractions 3875/410,9148/9840 is 1/9840
Least Common Multiple of 410,9840 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 410,9840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,9840) = 410
common factors(in case of two or more numbers have common factors) = 1
GCF(410,9840) x common factors =410 x 1 = 410
LCM(410,9840) = ( 410 × 9840 ) / 410
LCM(410,9840) = 4034400 / 410
LCM(410,9840) = 9840
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FAQs on GCF of Fractions of 3875/410, 9148/9840
1. What is the HCF of 3875,9148?
The HCF of 3875,9148 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 3875/410, 9148/9840?
Answer: GCF of Numerators as per given numbers 3875/410, 9148/9840 is
GCF of Numerators i.e. for 3875,9148 is 1
LCM of denominators i.e. for 410,9840 is 9840.
Thus, GCF of Fractions is 1/9840.Finally, GCF of Fractions for 3875/410, 9148/9840 is 1/9840.