GCF of 8414/539, 2404/9090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8414/539, 2404/9090 i.e 1202/4899510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8414/539, 2404/9090.
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 8414/539,2404/9090?
Given fractions are 8414/539,2404/9090
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 8414/539,2404/9090, numerators are 8414,2404
Denominators are 539,9090
The GCF of 8414,2404 is 1202 .
LCM of 539,9090 is 4899510.
The greatest common factor of 8414/539,2404/9090 = [GCF of 8414,2404]/[LCM of 539,9090]= 1202/4899510
Therefore, the GCF of 8414/539,2404/9090 is 1202/4899510.
To find the highest common factor of 8414,2404, we have to find the factors of both numbers and list the highest common factor.
The factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414
The factors of 2404 are 1, 2, 4, 601, 1202, 2404
The HCF of 8414,2404 is 1202.
Lets's calculate GCF of 8414,2404
| 2 | 8414, 2404 |
| 601 | 4207, 1202 |
| 7, 2 |
∴ So the GCF of the given numbers is 2 x 601 = 1202
Greatest Common Factor of 8414,2404 By Matching Biggest Common Factor Method
Now, list down the factors of 8414
:1,2,7,14,601,1202,4207,8414
Now, list down the factors of 2404
:1,2,4,601,1202,2404
Greatest Common Factor
We found the factors 8414,2404 . The biggest common factor number is the GCF number.
So the greatest common factor 8414,2404 is 1202.
Lets's calculate LCM of 539,9090
Given numbers has no common factors except 1. So, there LCM is their product i.e 4899510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1202/4899510
Therefore, the GCF of Fractions 8414/539,2404/9090 is 1202/4899510
Least Common Multiple of 539,9090 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 539,9090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,9090) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,9090) x common factors =1 x 1 = 1
LCM(539,9090) = ( 539 × 9090 ) / 1
LCM(539,9090) = 4899510 / 1
LCM(539,9090) = 4899510
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FAQs on GCF of Fractions of 8414/539, 2404/9090
1. What is the HCF of 8414,2404?
The HCF of 8414,2404 is 1202
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 8414/539, 2404/9090?
Answer: GCF of Numerators as per given numbers 8414/539, 2404/9090 is
GCF of Numerators i.e. for 8414,2404 is 1202
LCM of denominators i.e. for 539,9090 is 4899510.
Thus, GCF of Fractions is 1202/4899510.Finally, GCF of Fractions for 8414/539, 2404/9090 is 1202/4899510.