GCF of 7145/557, 2990/1005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7145/557, 2990/1005 i.e 5/559785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7145/557, 2990/1005.
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 7145/557,2990/1005?
Given fractions are 7145/557,2990/1005
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 7145/557,2990/1005, numerators are 7145,2990
Denominators are 557,1005
The GCF of 7145,2990 is 5 .
LCM of 557,1005 is 559785.
The greatest common factor of 7145/557,2990/1005 = [GCF of 7145,2990]/[LCM of 557,1005]= 5/559785
Therefore, the GCF of 7145/557,2990/1005 is 5/559785.
To find the highest common factor of 7145,2990, we have to find the factors of both numbers and list the highest common factor.
The factors of 7145 are 1, 5, 1429, 7145
The factors of 2990 are 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990
The HCF of 7145,2990 is 5.
Lets's calculate GCF of 7145,2990
| 5 | 7145, 2990 |
| 1429, 598 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7145,2990 By Matching Biggest Common Factor Method
Now, list down the factors of 7145
:1,5,1429,7145
Now, list down the factors of 2990
:1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990
Greatest Common Factor
We found the factors 7145,2990 . The biggest common factor number is the GCF number.
So the greatest common factor 7145,2990 is 5.
Lets's calculate LCM of 557,1005
Given numbers has no common factors except 1. So, there LCM is their product i.e 559785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/559785
Therefore, the GCF of Fractions 7145/557,2990/1005 is 5/559785
Least Common Multiple of 557,1005 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 557,1005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,1005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,1005) x common factors =1 x 1 = 1
LCM(557,1005) = ( 557 × 1005 ) / 1
LCM(557,1005) = 559785 / 1
LCM(557,1005) = 559785
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FAQs on GCF of Fractions of 7145/557, 2990/1005
1. What is the HCF of 7145,2990?
The HCF of 7145,2990 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 7145/557, 2990/1005?
Answer: GCF of Numerators as per given numbers 7145/557, 2990/1005 is
GCF of Numerators i.e. for 7145,2990 is 5
LCM of denominators i.e. for 557,1005 is 559785.
Thus, GCF of Fractions is 5/559785.Finally, GCF of Fractions for 7145/557, 2990/1005 is 5/559785.