GCF of 8095/598, 5155/2108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8095/598, 5155/2108 i.e 5/630292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8095/598, 5155/2108.
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 8095/598,5155/2108?
Given fractions are 8095/598,5155/2108
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 8095/598,5155/2108, numerators are 8095,5155
Denominators are 598,2108
The GCF of 8095,5155 is 5 .
LCM of 598,2108 is 630292.
The greatest common factor of 8095/598,5155/2108 = [GCF of 8095,5155]/[LCM of 598,2108]= 5/630292
Therefore, the GCF of 8095/598,5155/2108 is 5/630292.
To find the highest common factor of 8095,5155, we have to find the factors of both numbers and list the highest common factor.
The factors of 8095 are 1, 5, 1619, 8095
The factors of 5155 are 1, 5, 1031, 5155
The HCF of 8095,5155 is 5.
Lets's calculate GCF of 8095,5155
| 5 | 8095, 5155 |
| 1619, 1031 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8095,5155 By Matching Biggest Common Factor Method
Now, list down the factors of 8095
:1,5,1619,8095
Now, list down the factors of 5155
:1,5,1031,5155
Greatest Common Factor
We found the factors 8095,5155 . The biggest common factor number is the GCF number.
So the greatest common factor 8095,5155 is 5.
Lets's calculate LCM of 598,2108
| 2 | 598, 2108 |
| 299, 1054 |
∴ So the LCM of the given numbers is 2 x 299 x 1054 = 630292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/630292
Therefore, the GCF of Fractions 8095/598,5155/2108 is 5/630292
Least Common Multiple of 598,2108 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 598,2108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,2108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,2108) x common factors =2 x 1 = 2
LCM(598,2108) = ( 598 × 2108 ) / 2
LCM(598,2108) = 1260584 / 2
LCM(598,2108) = 630292
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FAQs on GCF of Fractions of 8095/598, 5155/2108
1. What is the HCF of 8095,5155?
The HCF of 8095,5155 is 5
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 8095/598, 5155/2108?
Answer: GCF of Numerators as per given numbers 8095/598, 5155/2108 is
GCF of Numerators i.e. for 8095,5155 is 5
LCM of denominators i.e. for 598,2108 is 630292.
Thus, GCF of Fractions is 5/630292.Finally, GCF of Fractions for 8095/598, 5155/2108 is 5/630292.