GCF of 8370/545, 1636/4208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8370/545, 1636/4208 i.e 2/2293360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8370/545, 1636/4208.
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 8370/545,1636/4208?
Given fractions are 8370/545,1636/4208
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 8370/545,1636/4208, numerators are 8370,1636
Denominators are 545,4208
The GCF of 8370,1636 is 2 .
LCM of 545,4208 is 2293360.
The greatest common factor of 8370/545,1636/4208 = [GCF of 8370,1636]/[LCM of 545,4208]= 2/2293360
Therefore, the GCF of 8370/545,1636/4208 is 2/2293360.
To find the highest common factor of 8370,1636, we have to find the factors of both numbers and list the highest common factor.
The factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370
The factors of 1636 are 1, 2, 4, 409, 818, 1636
The HCF of 8370,1636 is 2.
Lets's calculate GCF of 8370,1636
| 2 | 8370, 1636 |
| 4185, 818 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8370,1636 By Matching Biggest Common Factor Method
Now, list down the factors of 8370
:1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370
Now, list down the factors of 1636
:1,2,4,409,818,1636
Greatest Common Factor
We found the factors 8370,1636 . The biggest common factor number is the GCF number.
So the greatest common factor 8370,1636 is 2.
Lets's calculate LCM of 545,4208
Given numbers has no common factors except 1. So, there LCM is their product i.e 2293360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2293360
Therefore, the GCF of Fractions 8370/545,1636/4208 is 2/2293360
Least Common Multiple of 545,4208 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 545,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,4208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,4208) x common factors =1 x 1 = 1
LCM(545,4208) = ( 545 × 4208 ) / 1
LCM(545,4208) = 2293360 / 1
LCM(545,4208) = 2293360
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FAQs on GCF of Fractions of 8370/545, 1636/4208
1. What is the HCF of 8370,1636?
The HCF of 8370,1636 is 2
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 8370/545, 1636/4208?
Answer: GCF of Numerators as per given numbers 8370/545, 1636/4208 is
GCF of Numerators i.e. for 8370,1636 is 2
LCM of denominators i.e. for 545,4208 is 2293360.
Thus, GCF of Fractions is 2/2293360.Finally, GCF of Fractions for 8370/545, 1636/4208 is 2/2293360.