GCF of 954/581, 607/867, 577/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 954/581, 607/867, 577/285 i.e 1/47854065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/581, 607/867, 577/285.
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 954/581,607/867,577/285?
Given fractions are 954/581,607/867,577/285
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 954/581,607/867,577/285, numerators are 954,607,577
Denominators are 581,867,285
The GCF of 954,607,577 is 1 .
LCM of 581,867,285 is 47854065.
The greatest common factor of 954/581,607/867,577/285 = [GCF of 954,607,577]/[LCM of 581,867,285]= 1/47854065
Therefore, the GCF of 954/581,607/867,577/285 is 1/47854065.
To find the highest common factor of 954,607,577, we have to find the factors of both numbers and list the highest common factor.
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The factors of 607 are 1, 607
The factors of 577 are 1, 577
The HCF of 954,607,577 is 1.
Lets's calculate GCF of 954,607,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 954,607,577 By Matching Biggest Common Factor Method
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Now, list down the factors of 607
:1,607
Now, list down the factors of 577
:1,577
Greatest Common Factor
We found the factors 954,607,577 . The biggest common factor number is the GCF number.
So the greatest common factor 954,607,577 is 1.
Lets's calculate LCM of 581,867,285
| 3 | 581, 867, 285 |
| 581, 289, 95 |
∴ So the LCM of the given numbers is 3 x 581 x 289 x 95 = 47854065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47854065
Therefore, the GCF of Fractions 954/581,607/867,577/285 is 1/47854065
Least Common Multiple of 581,867,285 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 581,867,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,867,285) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(581,867,285) x common factors =1 x 3 = 3
LCM(581,867,285) = ( 581 × 867 × 285 ) / 3
LCM(581,867,285) = 143562195 / 3
LCM(581,867,285) = 47854065
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 954/581, 607/867, 577/285
1. What is the HCF of 954,607,577?
The HCF of 954,607,577 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 954/581, 607/867, 577/285?
Answer: GCF of Numerators as per given numbers 954/581, 607/867, 577/285 is
GCF of Numerators i.e. for 954,607,577 is 1
LCM of denominators i.e. for 581,867,285 is 47854065.
Thus, GCF of Fractions is 1/47854065.Finally, GCF of Fractions for 954/581, 607/867, 577/285 is 1/47854065.