GCF of 5585/610, 1524/3342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5585/610, 1524/3342 i.e 1/1019310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5585/610, 1524/3342.
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 5585/610,1524/3342?
Given fractions are 5585/610,1524/3342
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 5585/610,1524/3342, numerators are 5585,1524
Denominators are 610,3342
The GCF of 5585,1524 is 1 .
LCM of 610,3342 is 1019310.
The greatest common factor of 5585/610,1524/3342 = [GCF of 5585,1524]/[LCM of 610,3342]= 1/1019310
Therefore, the GCF of 5585/610,1524/3342 is 1/1019310.
To find the highest common factor of 5585,1524, we have to find the factors of both numbers and list the highest common factor.
The factors of 5585 are 1, 5, 1117, 5585
The factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524
The HCF of 5585,1524 is 1.
Lets's calculate GCF of 5585,1524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5585,1524 By Matching Biggest Common Factor Method
Now, list down the factors of 5585
:1,5,1117,5585
Now, list down the factors of 1524
:1,2,3,4,6,12,127,254,381,508,762,1524
Greatest Common Factor
We found the factors 5585,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 5585,1524 is 1.
Lets's calculate LCM of 610,3342
| 2 | 610, 3342 |
| 305, 1671 |
∴ So the LCM of the given numbers is 2 x 305 x 1671 = 1019310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1019310
Therefore, the GCF of Fractions 5585/610,1524/3342 is 1/1019310
Least Common Multiple of 610,3342 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 610,3342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,3342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,3342) x common factors =2 x 1 = 2
LCM(610,3342) = ( 610 × 3342 ) / 2
LCM(610,3342) = 2038620 / 2
LCM(610,3342) = 1019310
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FAQs on GCF of Fractions of 5585/610, 1524/3342
1. What is the HCF of 5585,1524?
The HCF of 5585,1524 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 5585/610, 1524/3342?
Answer: GCF of Numerators as per given numbers 5585/610, 1524/3342 is
GCF of Numerators i.e. for 5585,1524 is 1
LCM of denominators i.e. for 610,3342 is 1019310.
Thus, GCF of Fractions is 1/1019310.Finally, GCF of Fractions for 5585/610, 1524/3342 is 1/1019310.