GCF of 8860/488, 3100/7608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8860/488, 3100/7608 i.e 20/464088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8860/488, 3100/7608.
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 8860/488,3100/7608?
Given fractions are 8860/488,3100/7608
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 8860/488,3100/7608, numerators are 8860,3100
Denominators are 488,7608
The GCF of 8860,3100 is 20 .
LCM of 488,7608 is 464088.
The greatest common factor of 8860/488,3100/7608 = [GCF of 8860,3100]/[LCM of 488,7608]= 20/464088
Therefore, the GCF of 8860/488,3100/7608 is 20/464088.
To find the highest common factor of 8860,3100, we have to find the factors of both numbers and list the highest common factor.
The factors of 8860 are 1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860
The factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100
The HCF of 8860,3100 is 20.
Lets's calculate GCF of 8860,3100
| 2 | 8860, 3100 |
| 2 | 4430, 1550 |
| 5 | 2215, 775 |
| 443, 155 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 8860,3100 By Matching Biggest Common Factor Method
Now, list down the factors of 8860
:1,2,4,5,10,20,443,886,1772,2215,4430,8860
Now, list down the factors of 3100
:1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100
Greatest Common Factor
We found the factors 8860,3100 . The biggest common factor number is the GCF number.
So the greatest common factor 8860,3100 is 20.
Lets's calculate LCM of 488,7608
| 2 | 488, 7608 |
| 2 | 244, 3804 |
| 2 | 122, 1902 |
| 61, 951 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 951 = 464088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/464088
Therefore, the GCF of Fractions 8860/488,3100/7608 is 20/464088
Least Common Multiple of 488,7608 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 488,7608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,7608) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(488,7608) x common factors =8 x 1 = 8
LCM(488,7608) = ( 488 × 7608 ) / 8
LCM(488,7608) = 3712704 / 8
LCM(488,7608) = 464088
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FAQs on GCF of Fractions of 8860/488, 3100/7608
1. What is the HCF of 8860,3100?
The HCF of 8860,3100 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 8860/488, 3100/7608?
Answer: GCF of Numerators as per given numbers 8860/488, 3100/7608 is
GCF of Numerators i.e. for 8860,3100 is 20
LCM of denominators i.e. for 488,7608 is 464088.
Thus, GCF of Fractions is 20/464088.Finally, GCF of Fractions for 8860/488, 3100/7608 is 20/464088.