GCF of 4922/214, 7459/5843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4922/214, 7459/5843 i.e 1/1250402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4922/214, 7459/5843.
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 4922/214,7459/5843?
Given fractions are 4922/214,7459/5843
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 4922/214,7459/5843, numerators are 4922,7459
Denominators are 214,5843
The GCF of 4922,7459 is 1 .
LCM of 214,5843 is 1250402.
The greatest common factor of 4922/214,7459/5843 = [GCF of 4922,7459]/[LCM of 214,5843]= 1/1250402
Therefore, the GCF of 4922/214,7459/5843 is 1/1250402.
To find the highest common factor of 4922,7459, we have to find the factors of both numbers and list the highest common factor.
The factors of 4922 are 1, 2, 23, 46, 107, 214, 2461, 4922
The factors of 7459 are 1, 7459
The HCF of 4922,7459 is 1.
Lets's calculate GCF of 4922,7459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4922,7459 By Matching Biggest Common Factor Method
Now, list down the factors of 4922
:1,2,23,46,107,214,2461,4922
Now, list down the factors of 7459
:1,7459
Greatest Common Factor
We found the factors 4922,7459 . The biggest common factor number is the GCF number.
So the greatest common factor 4922,7459 is 1.
Lets's calculate LCM of 214,5843
Given numbers has no common factors except 1. So, there LCM is their product i.e 1250402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1250402
Therefore, the GCF of Fractions 4922/214,7459/5843 is 1/1250402
Least Common Multiple of 214,5843 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 214,5843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,5843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,5843) x common factors =1 x 1 = 1
LCM(214,5843) = ( 214 × 5843 ) / 1
LCM(214,5843) = 1250402 / 1
LCM(214,5843) = 1250402
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FAQs on GCF of Fractions of 4922/214, 7459/5843
1. What is the HCF of 4922,7459?
The HCF of 4922,7459 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 4922/214, 7459/5843?
Answer: GCF of Numerators as per given numbers 4922/214, 7459/5843 is
GCF of Numerators i.e. for 4922,7459 is 1
LCM of denominators i.e. for 214,5843 is 1250402.
Thus, GCF of Fractions is 1/1250402.Finally, GCF of Fractions for 4922/214, 7459/5843 is 1/1250402.