GCF of 9574/880, 5801/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9574/880, 5801/319 i.e 1/25520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9574/880, 5801/319.
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 9574/880,5801/319?
Given fractions are 9574/880,5801/319
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 9574/880,5801/319, numerators are 9574,5801
Denominators are 880,319
The GCF of 9574,5801 is 1 .
LCM of 880,319 is 25520.
The greatest common factor of 9574/880,5801/319 = [GCF of 9574,5801]/[LCM of 880,319]= 1/25520
Therefore, the GCF of 9574/880,5801/319 is 1/25520.
To find the highest common factor of 9574,5801, we have to find the factors of both numbers and list the highest common factor.
The factors of 9574 are 1, 2, 4787, 9574
The factors of 5801 are 1, 5801
The HCF of 9574,5801 is 1.
Lets's calculate GCF of 9574,5801
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9574,5801 By Matching Biggest Common Factor Method
Now, list down the factors of 9574
:1,2,4787,9574
Now, list down the factors of 5801
:1,5801
Greatest Common Factor
We found the factors 9574,5801 . The biggest common factor number is the GCF number.
So the greatest common factor 9574,5801 is 1.
Lets's calculate LCM of 880,319
| 11 | 880, 319 |
| 80, 29 |
∴ So the LCM of the given numbers is 11 x 80 x 29 = 25520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25520
Therefore, the GCF of Fractions 9574/880,5801/319 is 1/25520
Least Common Multiple of 880,319 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 880,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,319) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(880,319) x common factors =11 x 1 = 11
LCM(880,319) = ( 880 × 319 ) / 11
LCM(880,319) = 280720 / 11
LCM(880,319) = 25520
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FAQs on GCF of Fractions of 9574/880, 5801/319
1. What is the HCF of 9574,5801?
The HCF of 9574,5801 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 9574/880, 5801/319?
Answer: GCF of Numerators as per given numbers 9574/880, 5801/319 is
GCF of Numerators i.e. for 9574,5801 is 1
LCM of denominators i.e. for 880,319 is 25520.
Thus, GCF of Fractions is 1/25520.Finally, GCF of Fractions for 9574/880, 5801/319 is 1/25520.