GCF of 9573/640, 2008/2774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9573/640, 2008/2774 i.e 1/887680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9573/640, 2008/2774.
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 9573/640,2008/2774?
Given fractions are 9573/640,2008/2774
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 9573/640,2008/2774, numerators are 9573,2008
Denominators are 640,2774
The GCF of 9573,2008 is 1 .
LCM of 640,2774 is 887680.
The greatest common factor of 9573/640,2008/2774 = [GCF of 9573,2008]/[LCM of 640,2774]= 1/887680
Therefore, the GCF of 9573/640,2008/2774 is 1/887680.
To find the highest common factor of 9573,2008, we have to find the factors of both numbers and list the highest common factor.
The factors of 9573 are 1, 3, 3191, 9573
The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008
The HCF of 9573,2008 is 1.
Lets's calculate GCF of 9573,2008
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9573,2008 By Matching Biggest Common Factor Method
Now, list down the factors of 9573
:1,3,3191,9573
Now, list down the factors of 2008
:1,2,4,8,251,502,1004,2008
Greatest Common Factor
We found the factors 9573,2008 . The biggest common factor number is the GCF number.
So the greatest common factor 9573,2008 is 1.
Lets's calculate LCM of 640,2774
| 2 | 640, 2774 |
| 320, 1387 |
∴ So the LCM of the given numbers is 2 x 320 x 1387 = 887680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/887680
Therefore, the GCF of Fractions 9573/640,2008/2774 is 1/887680
Least Common Multiple of 640,2774 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 640,2774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,2774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,2774) x common factors =2 x 1 = 2
LCM(640,2774) = ( 640 × 2774 ) / 2
LCM(640,2774) = 1775360 / 2
LCM(640,2774) = 887680
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FAQs on GCF of Fractions of 9573/640, 2008/2774
1. What is the HCF of 9573,2008?
The HCF of 9573,2008 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 9573/640, 2008/2774?
Answer: GCF of Numerators as per given numbers 9573/640, 2008/2774 is
GCF of Numerators i.e. for 9573,2008 is 1
LCM of denominators i.e. for 640,2774 is 887680.
Thus, GCF of Fractions is 1/887680.Finally, GCF of Fractions for 9573/640, 2008/2774 is 1/887680.