GCF of 5493/119, 1913/6272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5493/119, 1913/6272 i.e 1/106624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5493/119, 1913/6272.
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 5493/119,1913/6272?
Given fractions are 5493/119,1913/6272
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 5493/119,1913/6272, numerators are 5493,1913
Denominators are 119,6272
The GCF of 5493,1913 is 1 .
LCM of 119,6272 is 106624.
The greatest common factor of 5493/119,1913/6272 = [GCF of 5493,1913]/[LCM of 119,6272]= 1/106624
Therefore, the GCF of 5493/119,1913/6272 is 1/106624.
To find the highest common factor of 5493,1913, we have to find the factors of both numbers and list the highest common factor.
The factors of 5493 are 1, 3, 1831, 5493
The factors of 1913 are 1, 1913
The HCF of 5493,1913 is 1.
Lets's calculate GCF of 5493,1913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5493,1913 By Matching Biggest Common Factor Method
Now, list down the factors of 5493
:1,3,1831,5493
Now, list down the factors of 1913
:1,1913
Greatest Common Factor
We found the factors 5493,1913 . The biggest common factor number is the GCF number.
So the greatest common factor 5493,1913 is 1.
Lets's calculate LCM of 119,6272
| 7 | 119, 6272 |
| 17, 896 |
∴ So the LCM of the given numbers is 7 x 17 x 896 = 106624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106624
Therefore, the GCF of Fractions 5493/119,1913/6272 is 1/106624
Least Common Multiple of 119,6272 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 119,6272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,6272) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,6272) x common factors =7 x 1 = 7
LCM(119,6272) = ( 119 × 6272 ) / 7
LCM(119,6272) = 746368 / 7
LCM(119,6272) = 106624
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FAQs on GCF of Fractions of 5493/119, 1913/6272
1. What is the HCF of 5493,1913?
The HCF of 5493,1913 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 5493/119, 1913/6272?
Answer: GCF of Numerators as per given numbers 5493/119, 1913/6272 is
GCF of Numerators i.e. for 5493,1913 is 1
LCM of denominators i.e. for 119,6272 is 106624.
Thus, GCF of Fractions is 1/106624.Finally, GCF of Fractions for 5493/119, 1913/6272 is 1/106624.