GCF of 401/85, 984/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 401/85, 984/900 i.e 1/15300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 401/85, 984/900.
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 401/85,984/900?
Given fractions are 401/85,984/900
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 401/85,984/900, numerators are 401,984
Denominators are 85,900
The GCF of 401,984 is 1 .
LCM of 85,900 is 15300.
The greatest common factor of 401/85,984/900 = [GCF of 401,984]/[LCM of 85,900]= 1/15300
Therefore, the GCF of 401/85,984/900 is 1/15300.
To find the highest common factor of 401,984, we have to find the factors of both numbers and list the highest common factor.
The factors of 401 are 1, 401
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
The HCF of 401,984 is 1.
Lets's calculate GCF of 401,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 401,984 By Matching Biggest Common Factor Method
Now, list down the factors of 401
:1,401
Now, list down the factors of 984
:1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 401,984 . The biggest common factor number is the GCF number.
So the greatest common factor 401,984 is 1.
Lets's calculate LCM of 85,900
| 5 | 85, 900 |
| 17, 180 |
∴ So the LCM of the given numbers is 5 x 17 x 180 = 15300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15300
Therefore, the GCF of Fractions 401/85,984/900 is 1/15300
Least Common Multiple of 85,900 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 85,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,900) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(85,900) x common factors =5 x 1 = 5
LCM(85,900) = ( 85 × 900 ) / 5
LCM(85,900) = 76500 / 5
LCM(85,900) = 15300
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FAQs on GCF of Fractions of 401/85, 984/900
1. What is the HCF of 401,984?
The HCF of 401,984 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 401/85, 984/900?
Answer: GCF of Numerators as per given numbers 401/85, 984/900 is
GCF of Numerators i.e. for 401,984 is 1
LCM of denominators i.e. for 85,900 is 15300.
Thus, GCF of Fractions is 1/15300.Finally, GCF of Fractions for 401/85, 984/900 is 1/15300.