GCF of 951/578, 9827/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 951/578, 9827/417 i.e 317/241026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 951/578, 9827/417.
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 951/578,9827/417?
Given fractions are 951/578,9827/417
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 951/578,9827/417, numerators are 951,9827
Denominators are 578,417
The GCF of 951,9827 is 317 .
LCM of 578,417 is 241026.
The greatest common factor of 951/578,9827/417 = [GCF of 951,9827]/[LCM of 578,417]= 317/241026
Therefore, the GCF of 951/578,9827/417 is 317/241026.
To find the highest common factor of 951,9827, we have to find the factors of both numbers and list the highest common factor.
The factors of 951 are 1, 3, 317, 951
The factors of 9827 are 1, 31, 317, 9827
The HCF of 951,9827 is 317.
Lets's calculate GCF of 951,9827
| 317 | 951, 9827 |
| 3, 31 |
∴ So the GCF of the given numbers is 317 = 317
Greatest Common Factor of 951,9827 By Matching Biggest Common Factor Method
Now, list down the factors of 951
:1,3,317,951
Now, list down the factors of 9827
:1,31,317,9827
Greatest Common Factor
We found the factors 951,9827 . The biggest common factor number is the GCF number.
So the greatest common factor 951,9827 is 317.
Lets's calculate LCM of 578,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 241026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 317/241026
Therefore, the GCF of Fractions 951/578,9827/417 is 317/241026
Least Common Multiple of 578,417 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 578,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,417) x common factors =1 x 1 = 1
LCM(578,417) = ( 578 × 417 ) / 1
LCM(578,417) = 241026 / 1
LCM(578,417) = 241026
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FAQs on GCF of Fractions of 951/578, 9827/417
1. What is the HCF of 951,9827?
The HCF of 951,9827 is 317
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 951/578, 9827/417?
Answer: GCF of Numerators as per given numbers 951/578, 9827/417 is
GCF of Numerators i.e. for 951,9827 is 317
LCM of denominators i.e. for 578,417 is 241026.
Thus, GCF of Fractions is 317/241026.Finally, GCF of Fractions for 951/578, 9827/417 is 317/241026.