GCF of 5390/621, 8213/283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5390/621, 8213/283 i.e 1/175743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5390/621, 8213/283.
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 5390/621,8213/283?
Given fractions are 5390/621,8213/283
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 5390/621,8213/283, numerators are 5390,8213
Denominators are 621,283
The GCF of 5390,8213 is 1 .
LCM of 621,283 is 175743.
The greatest common factor of 5390/621,8213/283 = [GCF of 5390,8213]/[LCM of 621,283]= 1/175743
Therefore, the GCF of 5390/621,8213/283 is 1/175743.
To find the highest common factor of 5390,8213, we have to find the factors of both numbers and list the highest common factor.
The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390
The factors of 8213 are 1, 43, 191, 8213
The HCF of 5390,8213 is 1.
Lets's calculate GCF of 5390,8213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5390,8213 By Matching Biggest Common Factor Method
Now, list down the factors of 5390
:1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Now, list down the factors of 8213
:1,43,191,8213
Greatest Common Factor
We found the factors 5390,8213 . The biggest common factor number is the GCF number.
So the greatest common factor 5390,8213 is 1.
Lets's calculate LCM of 621,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 175743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175743
Therefore, the GCF of Fractions 5390/621,8213/283 is 1/175743
Least Common Multiple of 621,283 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 621,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,283) x common factors =1 x 1 = 1
LCM(621,283) = ( 621 × 283 ) / 1
LCM(621,283) = 175743 / 1
LCM(621,283) = 175743
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FAQs on GCF of Fractions of 5390/621, 8213/283
1. What is the HCF of 5390,8213?
The HCF of 5390,8213 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 5390/621, 8213/283?
Answer: GCF of Numerators as per given numbers 5390/621, 8213/283 is
GCF of Numerators i.e. for 5390,8213 is 1
LCM of denominators i.e. for 621,283 is 175743.
Thus, GCF of Fractions is 1/175743.Finally, GCF of Fractions for 5390/621, 8213/283 is 1/175743.