GCF of 7053/542, 1590/7107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7053/542, 1590/7107 i.e 3/3851994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7053/542, 1590/7107.
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 7053/542,1590/7107?
Given fractions are 7053/542,1590/7107
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 7053/542,1590/7107, numerators are 7053,1590
Denominators are 542,7107
The GCF of 7053,1590 is 3 .
LCM of 542,7107 is 3851994.
The greatest common factor of 7053/542,1590/7107 = [GCF of 7053,1590]/[LCM of 542,7107]= 3/3851994
Therefore, the GCF of 7053/542,1590/7107 is 3/3851994.
To find the highest common factor of 7053,1590, we have to find the factors of both numbers and list the highest common factor.
The factors of 7053 are 1, 3, 2351, 7053
The factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590
The HCF of 7053,1590 is 3.
Lets's calculate GCF of 7053,1590
| 3 | 7053, 1590 |
| 2351, 530 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7053,1590 By Matching Biggest Common Factor Method
Now, list down the factors of 7053
:1,3,2351,7053
Now, list down the factors of 1590
:1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590
Greatest Common Factor
We found the factors 7053,1590 . The biggest common factor number is the GCF number.
So the greatest common factor 7053,1590 is 3.
Lets's calculate LCM of 542,7107
Given numbers has no common factors except 1. So, there LCM is their product i.e 3851994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3851994
Therefore, the GCF of Fractions 7053/542,1590/7107 is 3/3851994
Least Common Multiple of 542,7107 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 542,7107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,7107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,7107) x common factors =1 x 1 = 1
LCM(542,7107) = ( 542 × 7107 ) / 1
LCM(542,7107) = 3851994 / 1
LCM(542,7107) = 3851994
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FAQs on GCF of Fractions of 7053/542, 1590/7107
1. What is the HCF of 7053,1590?
The HCF of 7053,1590 is 3
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 7053/542, 1590/7107?
Answer: GCF of Numerators as per given numbers 7053/542, 1590/7107 is
GCF of Numerators i.e. for 7053,1590 is 3
LCM of denominators i.e. for 542,7107 is 3851994.
Thus, GCF of Fractions is 3/3851994.Finally, GCF of Fractions for 7053/542, 1590/7107 is 3/3851994.