GCF of 2515/569, 6940/9480
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2515/569, 6940/9480 i.e 5/5394120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2515/569, 6940/9480.
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 2515/569,6940/9480?
Given fractions are 2515/569,6940/9480
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 2515/569,6940/9480, numerators are 2515,6940
Denominators are 569,9480
The GCF of 2515,6940 is 5 .
LCM of 569,9480 is 5394120.
The greatest common factor of 2515/569,6940/9480 = [GCF of 2515,6940]/[LCM of 569,9480]= 5/5394120
Therefore, the GCF of 2515/569,6940/9480 is 5/5394120.
To find the highest common factor of 2515,6940, we have to find the factors of both numbers and list the highest common factor.
The factors of 2515 are 1, 5, 503, 2515
The factors of 6940 are 1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940
The HCF of 2515,6940 is 5.
Lets's calculate GCF of 2515,6940
| 5 | 2515, 6940 |
| 503, 1388 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2515,6940 By Matching Biggest Common Factor Method
Now, list down the factors of 2515
:1,5,503,2515
Now, list down the factors of 6940
:1,2,4,5,10,20,347,694,1388,1735,3470,6940
Greatest Common Factor
We found the factors 2515,6940 . The biggest common factor number is the GCF number.
So the greatest common factor 2515,6940 is 5.
Lets's calculate LCM of 569,9480
Given numbers has no common factors except 1. So, there LCM is their product i.e 5394120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5394120
Therefore, the GCF of Fractions 2515/569,6940/9480 is 5/5394120
Least Common Multiple of 569,9480 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 569,9480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,9480) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,9480) x common factors =1 x 1 = 1
LCM(569,9480) = ( 569 × 9480 ) / 1
LCM(569,9480) = 5394120 / 1
LCM(569,9480) = 5394120
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FAQs on GCF of Fractions of 2515/569, 6940/9480
1. What is the HCF of 2515,6940?
The HCF of 2515,6940 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 2515/569, 6940/9480?
Answer: GCF of Numerators as per given numbers 2515/569, 6940/9480 is
GCF of Numerators i.e. for 2515,6940 is 5
LCM of denominators i.e. for 569,9480 is 5394120.
Thus, GCF of Fractions is 5/5394120.Finally, GCF of Fractions for 2515/569, 6940/9480 is 5/5394120.