GCF of 2930/374, 6169/2720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2930/374, 6169/2720 i.e 1/29920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2930/374, 6169/2720.
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 2930/374,6169/2720?
Given fractions are 2930/374,6169/2720
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 2930/374,6169/2720, numerators are 2930,6169
Denominators are 374,2720
The GCF of 2930,6169 is 1 .
LCM of 374,2720 is 29920.
The greatest common factor of 2930/374,6169/2720 = [GCF of 2930,6169]/[LCM of 374,2720]= 1/29920
Therefore, the GCF of 2930/374,6169/2720 is 1/29920.
To find the highest common factor of 2930,6169, we have to find the factors of both numbers and list the highest common factor.
The factors of 2930 are 1, 2, 5, 10, 293, 586, 1465, 2930
The factors of 6169 are 1, 31, 199, 6169
The HCF of 2930,6169 is 1.
Lets's calculate GCF of 2930,6169
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2930,6169 By Matching Biggest Common Factor Method
Now, list down the factors of 2930
:1,2,5,10,293,586,1465,2930
Now, list down the factors of 6169
:1,31,199,6169
Greatest Common Factor
We found the factors 2930,6169 . The biggest common factor number is the GCF number.
So the greatest common factor 2930,6169 is 1.
Lets's calculate LCM of 374,2720
| 2 | 374, 2720 |
| 17 | 187, 1360 |
| 11, 80 |
∴ So the LCM of the given numbers is 2 x 17 x 11 x 80 = 29920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29920
Therefore, the GCF of Fractions 2930/374,6169/2720 is 1/29920
Least Common Multiple of 374,2720 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 374,2720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,2720) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(374,2720) x common factors =34 x 1 = 34
LCM(374,2720) = ( 374 × 2720 ) / 34
LCM(374,2720) = 1017280 / 34
LCM(374,2720) = 29920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2930/374, 6169/2720
1. What is the HCF of 2930,6169?
The HCF of 2930,6169 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 2930/374, 6169/2720?
Answer: GCF of Numerators as per given numbers 2930/374, 6169/2720 is
GCF of Numerators i.e. for 2930,6169 is 1
LCM of denominators i.e. for 374,2720 is 29920.
Thus, GCF of Fractions is 1/29920.Finally, GCF of Fractions for 2930/374, 6169/2720 is 1/29920.