GCF of 268/410, 5159/1827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 268/410, 5159/1827 i.e 67/749070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/410, 5159/1827.
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 268/410,5159/1827?
Given fractions are 268/410,5159/1827
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 268/410,5159/1827, numerators are 268,5159
Denominators are 410,1827
The GCF of 268,5159 is 67 .
LCM of 410,1827 is 749070.
The greatest common factor of 268/410,5159/1827 = [GCF of 268,5159]/[LCM of 410,1827]= 67/749070
Therefore, the GCF of 268/410,5159/1827 is 67/749070.
To find the highest common factor of 268,5159, we have to find the factors of both numbers and list the highest common factor.
The factors of 268 are 1, 2, 4, 67, 134, 268
The factors of 5159 are 1, 7, 11, 67, 77, 469, 737, 5159
The HCF of 268,5159 is 67.
Lets's calculate GCF of 268,5159
| 67 | 268, 5159 |
| 4, 77 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 268,5159 By Matching Biggest Common Factor Method
Now, list down the factors of 268
:1,2,4,67,134,268
Now, list down the factors of 5159
:1,7,11,67,77,469,737,5159
Greatest Common Factor
We found the factors 268,5159 . The biggest common factor number is the GCF number.
So the greatest common factor 268,5159 is 67.
Lets's calculate LCM of 410,1827
Given numbers has no common factors except 1. So, there LCM is their product i.e 749070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/749070
Therefore, the GCF of Fractions 268/410,5159/1827 is 67/749070
Least Common Multiple of 410,1827 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 410,1827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,1827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(410,1827) x common factors =1 x 1 = 1
LCM(410,1827) = ( 410 × 1827 ) / 1
LCM(410,1827) = 749070 / 1
LCM(410,1827) = 749070
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FAQs on GCF of Fractions of 268/410, 5159/1827
1. What is the HCF of 268,5159?
The HCF of 268,5159 is 67
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 268/410, 5159/1827?
Answer: GCF of Numerators as per given numbers 268/410, 5159/1827 is
GCF of Numerators i.e. for 268,5159 is 67
LCM of denominators i.e. for 410,1827 is 749070.
Thus, GCF of Fractions is 67/749070.Finally, GCF of Fractions for 268/410, 5159/1827 is 67/749070.