GCF of 8245/569, 9588/2542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8245/569, 9588/2542 i.e 17/1446398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8245/569, 9588/2542.
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 8245/569,9588/2542?
Given fractions are 8245/569,9588/2542
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 8245/569,9588/2542, numerators are 8245,9588
Denominators are 569,2542
The GCF of 8245,9588 is 17 .
LCM of 569,2542 is 1446398.
The greatest common factor of 8245/569,9588/2542 = [GCF of 8245,9588]/[LCM of 569,2542]= 17/1446398
Therefore, the GCF of 8245/569,9588/2542 is 17/1446398.
To find the highest common factor of 8245,9588, we have to find the factors of both numbers and list the highest common factor.
The factors of 8245 are 1, 5, 17, 85, 97, 485, 1649, 8245
The factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588
The HCF of 8245,9588 is 17.
Lets's calculate GCF of 8245,9588
| 17 | 8245, 9588 |
| 485, 564 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8245,9588 By Matching Biggest Common Factor Method
Now, list down the factors of 8245
:1,5,17,85,97,485,1649,8245
Now, list down the factors of 9588
:1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588
Greatest Common Factor
We found the factors 8245,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 8245,9588 is 17.
Lets's calculate LCM of 569,2542
Given numbers has no common factors except 1. So, there LCM is their product i.e 1446398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1446398
Therefore, the GCF of Fractions 8245/569,9588/2542 is 17/1446398
Least Common Multiple of 569,2542 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 569,2542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,2542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,2542) x common factors =1 x 1 = 1
LCM(569,2542) = ( 569 × 2542 ) / 1
LCM(569,2542) = 1446398 / 1
LCM(569,2542) = 1446398
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FAQs on GCF of Fractions of 8245/569, 9588/2542
1. What is the HCF of 8245,9588?
The HCF of 8245,9588 is 17
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 8245/569, 9588/2542?
Answer: GCF of Numerators as per given numbers 8245/569, 9588/2542 is
GCF of Numerators i.e. for 8245,9588 is 17
LCM of denominators i.e. for 569,2542 is 1446398.
Thus, GCF of Fractions is 17/1446398.Finally, GCF of Fractions for 8245/569, 9588/2542 is 17/1446398.