GCF of 2315/619, 6070/7923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2315/619, 6070/7923 i.e 5/4904337 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2315/619, 6070/7923.
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 2315/619,6070/7923?
Given fractions are 2315/619,6070/7923
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 2315/619,6070/7923, numerators are 2315,6070
Denominators are 619,7923
The GCF of 2315,6070 is 5 .
LCM of 619,7923 is 4904337.
The greatest common factor of 2315/619,6070/7923 = [GCF of 2315,6070]/[LCM of 619,7923]= 5/4904337
Therefore, the GCF of 2315/619,6070/7923 is 5/4904337.
To find the highest common factor of 2315,6070, we have to find the factors of both numbers and list the highest common factor.
The factors of 2315 are 1, 5, 463, 2315
The factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070
The HCF of 2315,6070 is 5.
Lets's calculate GCF of 2315,6070
| 5 | 2315, 6070 |
| 463, 1214 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2315,6070 By Matching Biggest Common Factor Method
Now, list down the factors of 2315
:1,5,463,2315
Now, list down the factors of 6070
:1,2,5,10,607,1214,3035,6070
Greatest Common Factor
We found the factors 2315,6070 . The biggest common factor number is the GCF number.
So the greatest common factor 2315,6070 is 5.
Lets's calculate LCM of 619,7923
Given numbers has no common factors except 1. So, there LCM is their product i.e 4904337
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4904337
Therefore, the GCF of Fractions 2315/619,6070/7923 is 5/4904337
Least Common Multiple of 619,7923 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 619,7923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,7923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,7923) x common factors =1 x 1 = 1
LCM(619,7923) = ( 619 × 7923 ) / 1
LCM(619,7923) = 4904337 / 1
LCM(619,7923) = 4904337
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FAQs on GCF of Fractions of 2315/619, 6070/7923
1. What is the HCF of 2315,6070?
The HCF of 2315,6070 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 2315/619, 6070/7923?
Answer: GCF of Numerators as per given numbers 2315/619, 6070/7923 is
GCF of Numerators i.e. for 2315,6070 is 5
LCM of denominators i.e. for 619,7923 is 4904337.
Thus, GCF of Fractions is 5/4904337.Finally, GCF of Fractions for 2315/619, 6070/7923 is 5/4904337.