GCF of 2101/743, 4284/6544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2101/743, 4284/6544 i.e 1/4862192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2101/743, 4284/6544.
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 2101/743,4284/6544?
Given fractions are 2101/743,4284/6544
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 2101/743,4284/6544, numerators are 2101,4284
Denominators are 743,6544
The GCF of 2101,4284 is 1 .
LCM of 743,6544 is 4862192.
The greatest common factor of 2101/743,4284/6544 = [GCF of 2101,4284]/[LCM of 743,6544]= 1/4862192
Therefore, the GCF of 2101/743,4284/6544 is 1/4862192.
To find the highest common factor of 2101,4284, we have to find the factors of both numbers and list the highest common factor.
The factors of 2101 are 1, 11, 191, 2101
The factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284
The HCF of 2101,4284 is 1.
Lets's calculate GCF of 2101,4284
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2101,4284 By Matching Biggest Common Factor Method
Now, list down the factors of 2101
:1,11,191,2101
Now, list down the factors of 4284
:1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284
Greatest Common Factor
We found the factors 2101,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 2101,4284 is 1.
Lets's calculate LCM of 743,6544
Given numbers has no common factors except 1. So, there LCM is their product i.e 4862192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4862192
Therefore, the GCF of Fractions 2101/743,4284/6544 is 1/4862192
Least Common Multiple of 743,6544 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 743,6544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,6544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,6544) x common factors =1 x 1 = 1
LCM(743,6544) = ( 743 × 6544 ) / 1
LCM(743,6544) = 4862192 / 1
LCM(743,6544) = 4862192
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2101/743, 4284/6544
1. What is the HCF of 2101,4284?
The HCF of 2101,4284 is 1
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 2101/743, 4284/6544?
Answer: GCF of Numerators as per given numbers 2101/743, 4284/6544 is
GCF of Numerators i.e. for 2101,4284 is 1
LCM of denominators i.e. for 743,6544 is 4862192.
Thus, GCF of Fractions is 1/4862192.Finally, GCF of Fractions for 2101/743, 4284/6544 is 1/4862192.