GCF of 5190/814, 8919/4082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5190/814, 8919/4082 i.e 3/1661374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5190/814, 8919/4082.
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 5190/814,8919/4082?
Given fractions are 5190/814,8919/4082
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 5190/814,8919/4082, numerators are 5190,8919
Denominators are 814,4082
The GCF of 5190,8919 is 3 .
LCM of 814,4082 is 1661374.
The greatest common factor of 5190/814,8919/4082 = [GCF of 5190,8919]/[LCM of 814,4082]= 3/1661374
Therefore, the GCF of 5190/814,8919/4082 is 3/1661374.
To find the highest common factor of 5190,8919, we have to find the factors of both numbers and list the highest common factor.
The factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190
The factors of 8919 are 1, 3, 9, 991, 2973, 8919
The HCF of 5190,8919 is 3.
Lets's calculate GCF of 5190,8919
| 3 | 5190, 8919 |
| 1730, 2973 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5190,8919 By Matching Biggest Common Factor Method
Now, list down the factors of 5190
:1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190
Now, list down the factors of 8919
:1,3,9,991,2973,8919
Greatest Common Factor
We found the factors 5190,8919 . The biggest common factor number is the GCF number.
So the greatest common factor 5190,8919 is 3.
Lets's calculate LCM of 814,4082
| 2 | 814, 4082 |
| 407, 2041 |
∴ So the LCM of the given numbers is 2 x 407 x 2041 = 1661374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1661374
Therefore, the GCF of Fractions 5190/814,8919/4082 is 3/1661374
Least Common Multiple of 814,4082 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 814,4082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,4082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,4082) x common factors =2 x 1 = 2
LCM(814,4082) = ( 814 × 4082 ) / 2
LCM(814,4082) = 3322748 / 2
LCM(814,4082) = 1661374
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FAQs on GCF of Fractions of 5190/814, 8919/4082
1. What is the HCF of 5190,8919?
The HCF of 5190,8919 is 3
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 5190/814, 8919/4082?
Answer: GCF of Numerators as per given numbers 5190/814, 8919/4082 is
GCF of Numerators i.e. for 5190,8919 is 3
LCM of denominators i.e. for 814,4082 is 1661374.
Thus, GCF of Fractions is 3/1661374.Finally, GCF of Fractions for 5190/814, 8919/4082 is 3/1661374.