GCF of 8165/961, 7440/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8165/961, 7440/107 i.e 5/102827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8165/961, 7440/107.
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 8165/961,7440/107?
Given fractions are 8165/961,7440/107
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 8165/961,7440/107, numerators are 8165,7440
Denominators are 961,107
The GCF of 8165,7440 is 5 .
LCM of 961,107 is 102827.
The greatest common factor of 8165/961,7440/107 = [GCF of 8165,7440]/[LCM of 961,107]= 5/102827
Therefore, the GCF of 8165/961,7440/107 is 5/102827.
To find the highest common factor of 8165,7440, we have to find the factors of both numbers and list the highest common factor.
The factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165
The factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440
The HCF of 8165,7440 is 5.
Lets's calculate GCF of 8165,7440
| 5 | 8165, 7440 |
| 1633, 1488 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8165,7440 By Matching Biggest Common Factor Method
Now, list down the factors of 8165
:1,5,23,71,115,355,1633,8165
Now, list down the factors of 7440
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Greatest Common Factor
We found the factors 8165,7440 . The biggest common factor number is the GCF number.
So the greatest common factor 8165,7440 is 5.
Lets's calculate LCM of 961,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 102827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/102827
Therefore, the GCF of Fractions 8165/961,7440/107 is 5/102827
Least Common Multiple of 961,107 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 961,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,107) x common factors =1 x 1 = 1
LCM(961,107) = ( 961 × 107 ) / 1
LCM(961,107) = 102827 / 1
LCM(961,107) = 102827
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FAQs on GCF of Fractions of 8165/961, 7440/107
1. What is the HCF of 8165,7440?
The HCF of 8165,7440 is 5
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 8165/961, 7440/107?
Answer: GCF of Numerators as per given numbers 8165/961, 7440/107 is
GCF of Numerators i.e. for 8165,7440 is 5
LCM of denominators i.e. for 961,107 is 102827.
Thus, GCF of Fractions is 5/102827.Finally, GCF of Fractions for 8165/961, 7440/107 is 5/102827.