GCF of 7124/512, 1557/3623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7124/512, 1557/3623 i.e 1/1854976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7124/512, 1557/3623.
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 7124/512,1557/3623?
Given fractions are 7124/512,1557/3623
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 7124/512,1557/3623, numerators are 7124,1557
Denominators are 512,3623
The GCF of 7124,1557 is 1 .
LCM of 512,3623 is 1854976.
The greatest common factor of 7124/512,1557/3623 = [GCF of 7124,1557]/[LCM of 512,3623]= 1/1854976
Therefore, the GCF of 7124/512,1557/3623 is 1/1854976.
To find the highest common factor of 7124,1557, we have to find the factors of both numbers and list the highest common factor.
The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The factors of 1557 are 1, 3, 9, 173, 519, 1557
The HCF of 7124,1557 is 1.
Lets's calculate GCF of 7124,1557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7124,1557 By Matching Biggest Common Factor Method
Now, list down the factors of 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Now, list down the factors of 1557
:1,3,9,173,519,1557
Greatest Common Factor
We found the factors 7124,1557 . The biggest common factor number is the GCF number.
So the greatest common factor 7124,1557 is 1.
Lets's calculate LCM of 512,3623
Given numbers has no common factors except 1. So, there LCM is their product i.e 1854976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1854976
Therefore, the GCF of Fractions 7124/512,1557/3623 is 1/1854976
Least Common Multiple of 512,3623 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 512,3623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,3623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,3623) x common factors =1 x 1 = 1
LCM(512,3623) = ( 512 × 3623 ) / 1
LCM(512,3623) = 1854976 / 1
LCM(512,3623) = 1854976
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FAQs on GCF of Fractions of 7124/512, 1557/3623
1. What is the HCF of 7124,1557?
The HCF of 7124,1557 is 1
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 7124/512, 1557/3623?
Answer: GCF of Numerators as per given numbers 7124/512, 1557/3623 is
GCF of Numerators i.e. for 7124,1557 is 1
LCM of denominators i.e. for 512,3623 is 1854976.
Thus, GCF of Fractions is 1/1854976.Finally, GCF of Fractions for 7124/512, 1557/3623 is 1/1854976.