GCF of 53/648, 49/1350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 53/648, 49/1350 i.e 1/16200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 53/648, 49/1350.
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 53/648,49/1350?
Given fractions are 53/648,49/1350
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 53/648,49/1350, numerators are 53,49
Denominators are 648,1350
The GCF of 53,49 is 1 .
LCM of 648,1350 is 16200.
The greatest common factor of 53/648,49/1350 = [GCF of 53,49]/[LCM of 648,1350]= 1/16200
Therefore, the GCF of 53/648,49/1350 is 1/16200.
To find the highest common factor of 53,49, we have to find the factors of both numbers and list the highest common factor.
The factors of 53 are 1, 53
The factors of 49 are 1, 7, 49
The HCF of 53,49 is 1.
Lets's calculate GCF of 53,49
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 53,49 By Matching Biggest Common Factor Method
Lets's calculate LCM of 648,1350
| 2 | 648, 1350 |
| 3 | 324, 675 |
| 3 | 108, 225 |
| 3 | 36, 75 |
| 12, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 12 x 25 = 16200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16200
Therefore, the GCF of Fractions 53/648,49/1350 is 1/16200
Least Common Multiple of 648,1350 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 648,1350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,1350) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(648,1350) x common factors =54 x 1 = 54
LCM(648,1350) = ( 648 × 1350 ) / 54
LCM(648,1350) = 874800 / 54
LCM(648,1350) = 16200
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 53/648, 49/1350
1. What is the HCF of 53,49?
The HCF of 53,49 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 53/648, 49/1350?
Answer: GCF of Numerators as per given numbers 53/648, 49/1350 is
GCF of Numerators i.e. for 53,49 is 1
LCM of denominators i.e. for 648,1350 is 16200.
Thus, GCF of Fractions is 1/16200.Finally, GCF of Fractions for 53/648, 49/1350 is 1/16200.