GCF of 2095/509, 6450/5395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2095/509, 6450/5395 i.e 5/2746055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2095/509, 6450/5395.
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 2095/509,6450/5395?
Given fractions are 2095/509,6450/5395
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 2095/509,6450/5395, numerators are 2095,6450
Denominators are 509,5395
The GCF of 2095,6450 is 5 .
LCM of 509,5395 is 2746055.
The greatest common factor of 2095/509,6450/5395 = [GCF of 2095,6450]/[LCM of 509,5395]= 5/2746055
Therefore, the GCF of 2095/509,6450/5395 is 5/2746055.
To find the highest common factor of 2095,6450, we have to find the factors of both numbers and list the highest common factor.
The factors of 2095 are 1, 5, 419, 2095
The factors of 6450 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 43, 50, 75, 86, 129, 150, 215, 258, 430, 645, 1075, 1290, 2150, 3225, 6450
The HCF of 2095,6450 is 5.
Lets's calculate GCF of 2095,6450
| 5 | 2095, 6450 |
| 419, 1290 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2095,6450 By Matching Biggest Common Factor Method
Now, list down the factors of 2095
:1,5,419,2095
Now, list down the factors of 6450
:1,2,3,5,6,10,15,25,30,43,50,75,86,129,150,215,258,430,645,1075,1290,2150,3225,6450
Greatest Common Factor
We found the factors 2095,6450 . The biggest common factor number is the GCF number.
So the greatest common factor 2095,6450 is 5.
Lets's calculate LCM of 509,5395
Given numbers has no common factors except 1. So, there LCM is their product i.e 2746055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2746055
Therefore, the GCF of Fractions 2095/509,6450/5395 is 5/2746055
Least Common Multiple of 509,5395 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 509,5395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,5395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,5395) x common factors =1 x 1 = 1
LCM(509,5395) = ( 509 × 5395 ) / 1
LCM(509,5395) = 2746055 / 1
LCM(509,5395) = 2746055
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FAQs on GCF of Fractions of 2095/509, 6450/5395
1. What is the HCF of 2095,6450?
The HCF of 2095,6450 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 2095/509, 6450/5395?
Answer: GCF of Numerators as per given numbers 2095/509, 6450/5395 is
GCF of Numerators i.e. for 2095,6450 is 5
LCM of denominators i.e. for 509,5395 is 2746055.
Thus, GCF of Fractions is 5/2746055.Finally, GCF of Fractions for 2095/509, 6450/5395 is 5/2746055.