GCF of 9577/844, 1953/8588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9577/844, 1953/8588 i.e 1/1812068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9577/844, 1953/8588.
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 9577/844,1953/8588?
Given fractions are 9577/844,1953/8588
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 9577/844,1953/8588, numerators are 9577,1953
Denominators are 844,8588
The GCF of 9577,1953 is 1 .
LCM of 844,8588 is 1812068.
The greatest common factor of 9577/844,1953/8588 = [GCF of 9577,1953]/[LCM of 844,8588]= 1/1812068
Therefore, the GCF of 9577/844,1953/8588 is 1/1812068.
To find the highest common factor of 9577,1953, we have to find the factors of both numbers and list the highest common factor.
The factors of 9577 are 1, 61, 157, 9577
The factors of 1953 are 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953
The HCF of 9577,1953 is 1.
Lets's calculate GCF of 9577,1953
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9577,1953 By Matching Biggest Common Factor Method
Now, list down the factors of 9577
:1,61,157,9577
Now, list down the factors of 1953
:1,3,7,9,21,31,63,93,217,279,651,1953
Greatest Common Factor
We found the factors 9577,1953 . The biggest common factor number is the GCF number.
So the greatest common factor 9577,1953 is 1.
Lets's calculate LCM of 844,8588
| 2 | 844, 8588 |
| 2 | 422, 4294 |
| 211, 2147 |
∴ So the LCM of the given numbers is 2 x 2 x 211 x 2147 = 1812068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1812068
Therefore, the GCF of Fractions 9577/844,1953/8588 is 1/1812068
Least Common Multiple of 844,8588 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 844,8588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,8588) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(844,8588) x common factors =4 x 1 = 4
LCM(844,8588) = ( 844 × 8588 ) / 4
LCM(844,8588) = 7248272 / 4
LCM(844,8588) = 1812068
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FAQs on GCF of Fractions of 9577/844, 1953/8588
1. What is the HCF of 9577,1953?
The HCF of 9577,1953 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 9577/844, 1953/8588?
Answer: GCF of Numerators as per given numbers 9577/844, 1953/8588 is
GCF of Numerators i.e. for 9577,1953 is 1
LCM of denominators i.e. for 844,8588 is 1812068.
Thus, GCF of Fractions is 1/1812068.Finally, GCF of Fractions for 9577/844, 1953/8588 is 1/1812068.