GCF of 7493/214, 5577/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7493/214, 5577/122 i.e 1/13054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7493/214, 5577/122.
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 7493/214,5577/122?
Given fractions are 7493/214,5577/122
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 7493/214,5577/122, numerators are 7493,5577
Denominators are 214,122
The GCF of 7493,5577 is 1 .
LCM of 214,122 is 13054.
The greatest common factor of 7493/214,5577/122 = [GCF of 7493,5577]/[LCM of 214,122]= 1/13054
Therefore, the GCF of 7493/214,5577/122 is 1/13054.
To find the highest common factor of 7493,5577, we have to find the factors of both numbers and list the highest common factor.
The factors of 7493 are 1, 59, 127, 7493
The factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577
The HCF of 7493,5577 is 1.
Lets's calculate GCF of 7493,5577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7493,5577 By Matching Biggest Common Factor Method
Now, list down the factors of 7493
:1,59,127,7493
Now, list down the factors of 5577
:1,3,11,13,33,39,143,169,429,507,1859,5577
Greatest Common Factor
We found the factors 7493,5577 . The biggest common factor number is the GCF number.
So the greatest common factor 7493,5577 is 1.
Lets's calculate LCM of 214,122
| 2 | 214, 122 |
| 107, 61 |
∴ So the LCM of the given numbers is 2 x 107 x 61 = 13054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13054
Therefore, the GCF of Fractions 7493/214,5577/122 is 1/13054
Least Common Multiple of 214,122 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 214,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,122) x common factors =2 x 1 = 2
LCM(214,122) = ( 214 × 122 ) / 2
LCM(214,122) = 26108 / 2
LCM(214,122) = 13054
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FAQs on GCF of Fractions of 7493/214, 5577/122
1. What is the HCF of 7493,5577?
The HCF of 7493,5577 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 7493/214, 5577/122?
Answer: GCF of Numerators as per given numbers 7493/214, 5577/122 is
GCF of Numerators i.e. for 7493,5577 is 1
LCM of denominators i.e. for 214,122 is 13054.
Thus, GCF of Fractions is 1/13054.Finally, GCF of Fractions for 7493/214, 5577/122 is 1/13054.