GCF of 5860/657, 2640/173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5860/657, 2640/173 i.e 20/113661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5860/657, 2640/173.
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 5860/657,2640/173?
Given fractions are 5860/657,2640/173
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 5860/657,2640/173, numerators are 5860,2640
Denominators are 657,173
The GCF of 5860,2640 is 20 .
LCM of 657,173 is 113661.
The greatest common factor of 5860/657,2640/173 = [GCF of 5860,2640]/[LCM of 657,173]= 20/113661
Therefore, the GCF of 5860/657,2640/173 is 20/113661.
To find the highest common factor of 5860,2640, we have to find the factors of both numbers and list the highest common factor.
The factors of 5860 are 1, 2, 4, 5, 10, 20, 293, 586, 1172, 1465, 2930, 5860
The factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640
The HCF of 5860,2640 is 20.
Lets's calculate GCF of 5860,2640
| 2 | 5860, 2640 |
| 2 | 2930, 1320 |
| 5 | 1465, 660 |
| 293, 132 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5860,2640 By Matching Biggest Common Factor Method
Now, list down the factors of 5860
:1,2,4,5,10,20,293,586,1172,1465,2930,5860
Now, list down the factors of 2640
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Greatest Common Factor
We found the factors 5860,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 5860,2640 is 20.
Lets's calculate LCM of 657,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 113661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/113661
Therefore, the GCF of Fractions 5860/657,2640/173 is 20/113661
Least Common Multiple of 657,173 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 657,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,173) x common factors =1 x 1 = 1
LCM(657,173) = ( 657 × 173 ) / 1
LCM(657,173) = 113661 / 1
LCM(657,173) = 113661
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FAQs on GCF of Fractions of 5860/657, 2640/173
1. What is the HCF of 5860,2640?
The HCF of 5860,2640 is 20
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 5860/657, 2640/173?
Answer: GCF of Numerators as per given numbers 5860/657, 2640/173 is
GCF of Numerators i.e. for 5860,2640 is 20
LCM of denominators i.e. for 657,173 is 113661.
Thus, GCF of Fractions is 20/113661.Finally, GCF of Fractions for 5860/657, 2640/173 is 20/113661.