GCF of 740/162, 3030/2657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 740/162, 3030/2657 i.e 10/430434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 740/162, 3030/2657.
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 740/162,3030/2657?
Given fractions are 740/162,3030/2657
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 740/162,3030/2657, numerators are 740,3030
Denominators are 162,2657
The GCF of 740,3030 is 10 .
LCM of 162,2657 is 430434.
The greatest common factor of 740/162,3030/2657 = [GCF of 740,3030]/[LCM of 162,2657]= 10/430434
Therefore, the GCF of 740/162,3030/2657 is 10/430434.
To find the highest common factor of 740,3030, we have to find the factors of both numbers and list the highest common factor.
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The factors of 3030 are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030
The HCF of 740,3030 is 10.
Lets's calculate GCF of 740,3030
| 2 | 740, 3030 |
| 5 | 370, 1515 |
| 74, 303 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 740,3030 By Matching Biggest Common Factor Method
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Now, list down the factors of 3030
:1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030
Greatest Common Factor
We found the factors 740,3030 . The biggest common factor number is the GCF number.
So the greatest common factor 740,3030 is 10.
Lets's calculate LCM of 162,2657
Given numbers has no common factors except 1. So, there LCM is their product i.e 430434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/430434
Therefore, the GCF of Fractions 740/162,3030/2657 is 10/430434
Least Common Multiple of 162,2657 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 162,2657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,2657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,2657) x common factors =1 x 1 = 1
LCM(162,2657) = ( 162 × 2657 ) / 1
LCM(162,2657) = 430434 / 1
LCM(162,2657) = 430434
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FAQs on GCF of Fractions of 740/162, 3030/2657
1. What is the HCF of 740,3030?
The HCF of 740,3030 is 10
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 740/162, 3030/2657?
Answer: GCF of Numerators as per given numbers 740/162, 3030/2657 is
GCF of Numerators i.e. for 740,3030 is 10
LCM of denominators i.e. for 162,2657 is 430434.
Thus, GCF of Fractions is 10/430434.Finally, GCF of Fractions for 740/162, 3030/2657 is 10/430434.