GCF of 6523/742, 4158/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6523/742, 4158/209 i.e 11/155078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6523/742, 4158/209.
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 6523/742,4158/209?
Given fractions are 6523/742,4158/209
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 6523/742,4158/209, numerators are 6523,4158
Denominators are 742,209
The GCF of 6523,4158 is 11 .
LCM of 742,209 is 155078.
The greatest common factor of 6523/742,4158/209 = [GCF of 6523,4158]/[LCM of 742,209]= 11/155078
Therefore, the GCF of 6523/742,4158/209 is 11/155078.
To find the highest common factor of 6523,4158, we have to find the factors of both numbers and list the highest common factor.
The factors of 6523 are 1, 11, 593, 6523
The factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158
The HCF of 6523,4158 is 11.
Lets's calculate GCF of 6523,4158
| 11 | 6523, 4158 |
| 593, 378 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6523,4158 By Matching Biggest Common Factor Method
Now, list down the factors of 6523
:1,11,593,6523
Now, list down the factors of 4158
:1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Greatest Common Factor
We found the factors 6523,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 6523,4158 is 11.
Lets's calculate LCM of 742,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 155078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/155078
Therefore, the GCF of Fractions 6523/742,4158/209 is 11/155078
Least Common Multiple of 742,209 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 742,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,209) x common factors =1 x 1 = 1
LCM(742,209) = ( 742 × 209 ) / 1
LCM(742,209) = 155078 / 1
LCM(742,209) = 155078
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FAQs on GCF of Fractions of 6523/742, 4158/209
1. What is the HCF of 6523,4158?
The HCF of 6523,4158 is 11
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 6523/742, 4158/209?
Answer: GCF of Numerators as per given numbers 6523/742, 4158/209 is
GCF of Numerators i.e. for 6523,4158 is 11
LCM of denominators i.e. for 742,209 is 155078.
Thus, GCF of Fractions is 11/155078.Finally, GCF of Fractions for 6523/742, 4158/209 is 11/155078.