GCF of 3030/358, 2774/469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3030/358, 2774/469 i.e 2/167902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3030/358, 2774/469.
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 3030/358,2774/469?
Given fractions are 3030/358,2774/469
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 3030/358,2774/469, numerators are 3030,2774
Denominators are 358,469
The GCF of 3030,2774 is 2 .
LCM of 358,469 is 167902.
The greatest common factor of 3030/358,2774/469 = [GCF of 3030,2774]/[LCM of 358,469]= 2/167902
Therefore, the GCF of 3030/358,2774/469 is 2/167902.
To find the highest common factor of 3030,2774, we have to find the factors of both numbers and list the highest common factor.
The factors of 3030 are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030
The factors of 2774 are 1, 2, 19, 38, 73, 146, 1387, 2774
The HCF of 3030,2774 is 2.
Lets's calculate GCF of 3030,2774
| 2 | 3030, 2774 |
| 1515, 1387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3030,2774 By Matching Biggest Common Factor Method
Now, list down the factors of 3030
:1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030
Now, list down the factors of 2774
:1,2,19,38,73,146,1387,2774
Greatest Common Factor
We found the factors 3030,2774 . The biggest common factor number is the GCF number.
So the greatest common factor 3030,2774 is 2.
Lets's calculate LCM of 358,469
Given numbers has no common factors except 1. So, there LCM is their product i.e 167902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167902
Therefore, the GCF of Fractions 3030/358,2774/469 is 2/167902
Least Common Multiple of 358,469 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 358,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,469) x common factors =1 x 1 = 1
LCM(358,469) = ( 358 × 469 ) / 1
LCM(358,469) = 167902 / 1
LCM(358,469) = 167902
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FAQs on GCF of Fractions of 3030/358, 2774/469
1. What is the HCF of 3030,2774?
The HCF of 3030,2774 is 2
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 3030/358, 2774/469?
Answer: GCF of Numerators as per given numbers 3030/358, 2774/469 is
GCF of Numerators i.e. for 3030,2774 is 2
LCM of denominators i.e. for 358,469 is 167902.
Thus, GCF of Fractions is 2/167902.Finally, GCF of Fractions for 3030/358, 2774/469 is 2/167902.