GCF of 8057/473, 5640/5609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8057/473, 5640/5609 i.e 1/2653057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8057/473, 5640/5609.
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 8057/473,5640/5609?
Given fractions are 8057/473,5640/5609
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 8057/473,5640/5609, numerators are 8057,5640
Denominators are 473,5609
The GCF of 8057,5640 is 1 .
LCM of 473,5609 is 2653057.
The greatest common factor of 8057/473,5640/5609 = [GCF of 8057,5640]/[LCM of 473,5609]= 1/2653057
Therefore, the GCF of 8057/473,5640/5609 is 1/2653057.
To find the highest common factor of 8057,5640, we have to find the factors of both numbers and list the highest common factor.
The factors of 8057 are 1, 7, 1151, 8057
The factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640
The HCF of 8057,5640 is 1.
Lets's calculate GCF of 8057,5640
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8057,5640 By Matching Biggest Common Factor Method
Now, list down the factors of 8057
:1,7,1151,8057
Now, list down the factors of 5640
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640
Greatest Common Factor
We found the factors 8057,5640 . The biggest common factor number is the GCF number.
So the greatest common factor 8057,5640 is 1.
Lets's calculate LCM of 473,5609
Given numbers has no common factors except 1. So, there LCM is their product i.e 2653057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2653057
Therefore, the GCF of Fractions 8057/473,5640/5609 is 1/2653057
Least Common Multiple of 473,5609 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 473,5609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,5609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,5609) x common factors =1 x 1 = 1
LCM(473,5609) = ( 473 × 5609 ) / 1
LCM(473,5609) = 2653057 / 1
LCM(473,5609) = 2653057
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FAQs on GCF of Fractions of 8057/473, 5640/5609
1. What is the HCF of 8057,5640?
The HCF of 8057,5640 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 8057/473, 5640/5609?
Answer: GCF of Numerators as per given numbers 8057/473, 5640/5609 is
GCF of Numerators i.e. for 8057,5640 is 1
LCM of denominators i.e. for 473,5609 is 2653057.
Thus, GCF of Fractions is 1/2653057.Finally, GCF of Fractions for 8057/473, 5640/5609 is 1/2653057.