GCF of 1524/548, 3695/4917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1524/548, 3695/4917 i.e 1/2694516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1524/548, 3695/4917.
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 1524/548,3695/4917?
Given fractions are 1524/548,3695/4917
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 1524/548,3695/4917, numerators are 1524,3695
Denominators are 548,4917
The GCF of 1524,3695 is 1 .
LCM of 548,4917 is 2694516.
The greatest common factor of 1524/548,3695/4917 = [GCF of 1524,3695]/[LCM of 548,4917]= 1/2694516
Therefore, the GCF of 1524/548,3695/4917 is 1/2694516.
To find the highest common factor of 1524,3695, we have to find the factors of both numbers and list the highest common factor.
The factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524
The factors of 3695 are 1, 5, 739, 3695
The HCF of 1524,3695 is 1.
Lets's calculate GCF of 1524,3695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1524,3695 By Matching Biggest Common Factor Method
Now, list down the factors of 1524
:1,2,3,4,6,12,127,254,381,508,762,1524
Now, list down the factors of 3695
:1,5,739,3695
Greatest Common Factor
We found the factors 1524,3695 . The biggest common factor number is the GCF number.
So the greatest common factor 1524,3695 is 1.
Lets's calculate LCM of 548,4917
Given numbers has no common factors except 1. So, there LCM is their product i.e 2694516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2694516
Therefore, the GCF of Fractions 1524/548,3695/4917 is 1/2694516
Least Common Multiple of 548,4917 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 548,4917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,4917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,4917) x common factors =1 x 1 = 1
LCM(548,4917) = ( 548 × 4917 ) / 1
LCM(548,4917) = 2694516 / 1
LCM(548,4917) = 2694516
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FAQs on GCF of Fractions of 1524/548, 3695/4917
1. What is the HCF of 1524,3695?
The HCF of 1524,3695 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 1524/548, 3695/4917?
Answer: GCF of Numerators as per given numbers 1524/548, 3695/4917 is
GCF of Numerators i.e. for 1524,3695 is 1
LCM of denominators i.e. for 548,4917 is 2694516.
Thus, GCF of Fractions is 1/2694516.Finally, GCF of Fractions for 1524/548, 3695/4917 is 1/2694516.