GCF of 2392/171, 6513/358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2392/171, 6513/358 i.e 13/61218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2392/171, 6513/358.
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 2392/171,6513/358?
Given fractions are 2392/171,6513/358
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 2392/171,6513/358, numerators are 2392,6513
Denominators are 171,358
The GCF of 2392,6513 is 13 .
LCM of 171,358 is 61218.
The greatest common factor of 2392/171,6513/358 = [GCF of 2392,6513]/[LCM of 171,358]= 13/61218
Therefore, the GCF of 2392/171,6513/358 is 13/61218.
To find the highest common factor of 2392,6513, we have to find the factors of both numbers and list the highest common factor.
The factors of 2392 are 1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 598, 1196, 2392
The factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513
The HCF of 2392,6513 is 13.
Lets's calculate GCF of 2392,6513
| 13 | 2392, 6513 |
| 184, 501 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2392,6513 By Matching Biggest Common Factor Method
Now, list down the factors of 2392
:1,2,4,8,13,23,26,46,52,92,104,184,299,598,1196,2392
Now, list down the factors of 6513
:1,3,13,39,167,501,2171,6513
Greatest Common Factor
We found the factors 2392,6513 . The biggest common factor number is the GCF number.
So the greatest common factor 2392,6513 is 13.
Lets's calculate LCM of 171,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 61218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/61218
Therefore, the GCF of Fractions 2392/171,6513/358 is 13/61218
Least Common Multiple of 171,358 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 171,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,358) x common factors =1 x 1 = 1
LCM(171,358) = ( 171 × 358 ) / 1
LCM(171,358) = 61218 / 1
LCM(171,358) = 61218
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FAQs on GCF of Fractions of 2392/171, 6513/358
1. What is the HCF of 2392,6513?
The HCF of 2392,6513 is 13
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 2392/171, 6513/358?
Answer: GCF of Numerators as per given numbers 2392/171, 6513/358 is
GCF of Numerators i.e. for 2392,6513 is 13
LCM of denominators i.e. for 171,358 is 61218.
Thus, GCF of Fractions is 13/61218.Finally, GCF of Fractions for 2392/171, 6513/358 is 13/61218.