GCF of 3108/161, 5416/8597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3108/161, 5416/8597 i.e 4/1384117 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3108/161, 5416/8597.
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 3108/161,5416/8597?
Given fractions are 3108/161,5416/8597
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 3108/161,5416/8597, numerators are 3108,5416
Denominators are 161,8597
The GCF of 3108,5416 is 4 .
LCM of 161,8597 is 1384117.
The greatest common factor of 3108/161,5416/8597 = [GCF of 3108,5416]/[LCM of 161,8597]= 4/1384117
Therefore, the GCF of 3108/161,5416/8597 is 4/1384117.
To find the highest common factor of 3108,5416, we have to find the factors of both numbers and list the highest common factor.
The factors of 3108 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108
The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416
The HCF of 3108,5416 is 4.
Lets's calculate GCF of 3108,5416
| 2 | 3108, 5416 |
| 2 | 1554, 2708 |
| 777, 1354 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3108,5416 By Matching Biggest Common Factor Method
Now, list down the factors of 3108
:1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108
Now, list down the factors of 5416
:1,2,4,8,677,1354,2708,5416
Greatest Common Factor
We found the factors 3108,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 3108,5416 is 4.
Lets's calculate LCM of 161,8597
Given numbers has no common factors except 1. So, there LCM is their product i.e 1384117
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1384117
Therefore, the GCF of Fractions 3108/161,5416/8597 is 4/1384117
Least Common Multiple of 161,8597 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 161,8597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,8597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,8597) x common factors =1 x 1 = 1
LCM(161,8597) = ( 161 × 8597 ) / 1
LCM(161,8597) = 1384117 / 1
LCM(161,8597) = 1384117
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FAQs on GCF of Fractions of 3108/161, 5416/8597
1. What is the HCF of 3108,5416?
The HCF of 3108,5416 is 4
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 3108/161, 5416/8597?
Answer: GCF of Numerators as per given numbers 3108/161, 5416/8597 is
GCF of Numerators i.e. for 3108,5416 is 4
LCM of denominators i.e. for 161,8597 is 1384117.
Thus, GCF of Fractions is 4/1384117.Finally, GCF of Fractions for 3108/161, 5416/8597 is 4/1384117.