GCF of 3080/645, 7867/2913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3080/645, 7867/2913 i.e 1/626295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3080/645, 7867/2913.
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 3080/645,7867/2913?
Given fractions are 3080/645,7867/2913
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 3080/645,7867/2913, numerators are 3080,7867
Denominators are 645,2913
The GCF of 3080,7867 is 1 .
LCM of 645,2913 is 626295.
The greatest common factor of 3080/645,7867/2913 = [GCF of 3080,7867]/[LCM of 645,2913]= 1/626295
Therefore, the GCF of 3080/645,7867/2913 is 1/626295.
To find the highest common factor of 3080,7867, we have to find the factors of both numbers and list the highest common factor.
The factors of 3080 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080
The factors of 7867 are 1, 7867
The HCF of 3080,7867 is 1.
Lets's calculate GCF of 3080,7867
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3080,7867 By Matching Biggest Common Factor Method
Now, list down the factors of 3080
:1,2,4,5,7,8,10,11,14,20,22,28,35,40,44,55,56,70,77,88,110,140,154,220,280,308,385,440,616,770,1540,3080
Now, list down the factors of 7867
:1,7867
Greatest Common Factor
We found the factors 3080,7867 . The biggest common factor number is the GCF number.
So the greatest common factor 3080,7867 is 1.
Lets's calculate LCM of 645,2913
| 3 | 645, 2913 |
| 215, 971 |
∴ So the LCM of the given numbers is 3 x 215 x 971 = 626295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/626295
Therefore, the GCF of Fractions 3080/645,7867/2913 is 1/626295
Least Common Multiple of 645,2913 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 645,2913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,2913) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(645,2913) x common factors =3 x 1 = 3
LCM(645,2913) = ( 645 × 2913 ) / 3
LCM(645,2913) = 1878885 / 3
LCM(645,2913) = 626295
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FAQs on GCF of Fractions of 3080/645, 7867/2913
1. What is the HCF of 3080,7867?
The HCF of 3080,7867 is 1
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 3080/645, 7867/2913?
Answer: GCF of Numerators as per given numbers 3080/645, 7867/2913 is
GCF of Numerators i.e. for 3080,7867 is 1
LCM of denominators i.e. for 645,2913 is 626295.
Thus, GCF of Fractions is 1/626295.Finally, GCF of Fractions for 3080/645, 7867/2913 is 1/626295.