GCF of 1516/578, 7126/1771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1516/578, 7126/1771 i.e 2/1023638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1516/578, 7126/1771.
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 1516/578,7126/1771?
Given fractions are 1516/578,7126/1771
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 1516/578,7126/1771, numerators are 1516,7126
Denominators are 578,1771
The GCF of 1516,7126 is 2 .
LCM of 578,1771 is 1023638.
The greatest common factor of 1516/578,7126/1771 = [GCF of 1516,7126]/[LCM of 578,1771]= 2/1023638
Therefore, the GCF of 1516/578,7126/1771 is 2/1023638.
To find the highest common factor of 1516,7126, we have to find the factors of both numbers and list the highest common factor.
The factors of 1516 are 1, 2, 4, 379, 758, 1516
The factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126
The HCF of 1516,7126 is 2.
Lets's calculate GCF of 1516,7126
| 2 | 1516, 7126 |
| 758, 3563 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1516,7126 By Matching Biggest Common Factor Method
Now, list down the factors of 1516
:1,2,4,379,758,1516
Now, list down the factors of 7126
:1,2,7,14,509,1018,3563,7126
Greatest Common Factor
We found the factors 1516,7126 . The biggest common factor number is the GCF number.
So the greatest common factor 1516,7126 is 2.
Lets's calculate LCM of 578,1771
Given numbers has no common factors except 1. So, there LCM is their product i.e 1023638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1023638
Therefore, the GCF of Fractions 1516/578,7126/1771 is 2/1023638
Least Common Multiple of 578,1771 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 578,1771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,1771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,1771) x common factors =1 x 1 = 1
LCM(578,1771) = ( 578 × 1771 ) / 1
LCM(578,1771) = 1023638 / 1
LCM(578,1771) = 1023638
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FAQs on GCF of Fractions of 1516/578, 7126/1771
1. What is the HCF of 1516,7126?
The HCF of 1516,7126 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 1516/578, 7126/1771?
Answer: GCF of Numerators as per given numbers 1516/578, 7126/1771 is
GCF of Numerators i.e. for 1516,7126 is 2
LCM of denominators i.e. for 578,1771 is 1023638.
Thus, GCF of Fractions is 2/1023638.Finally, GCF of Fractions for 1516/578, 7126/1771 is 2/1023638.