GCF of 5448/732, 1457/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5448/732, 1457/286 i.e 1/104676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5448/732, 1457/286.
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 5448/732,1457/286?
Given fractions are 5448/732,1457/286
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 5448/732,1457/286, numerators are 5448,1457
Denominators are 732,286
The GCF of 5448,1457 is 1 .
LCM of 732,286 is 104676.
The greatest common factor of 5448/732,1457/286 = [GCF of 5448,1457]/[LCM of 732,286]= 1/104676
Therefore, the GCF of 5448/732,1457/286 is 1/104676.
To find the highest common factor of 5448,1457, we have to find the factors of both numbers and list the highest common factor.
The factors of 5448 are 1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448
The factors of 1457 are 1, 31, 47, 1457
The HCF of 5448,1457 is 1.
Lets's calculate GCF of 5448,1457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5448,1457 By Matching Biggest Common Factor Method
Now, list down the factors of 5448
:1,2,3,4,6,8,12,24,227,454,681,908,1362,1816,2724,5448
Now, list down the factors of 1457
:1,31,47,1457
Greatest Common Factor
We found the factors 5448,1457 . The biggest common factor number is the GCF number.
So the greatest common factor 5448,1457 is 1.
Lets's calculate LCM of 732,286
| 2 | 732, 286 |
| 366, 143 |
∴ So the LCM of the given numbers is 2 x 366 x 143 = 104676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104676
Therefore, the GCF of Fractions 5448/732,1457/286 is 1/104676
Least Common Multiple of 732,286 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 732,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(732,286) x common factors =2 x 1 = 2
LCM(732,286) = ( 732 × 286 ) / 2
LCM(732,286) = 209352 / 2
LCM(732,286) = 104676
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FAQs on GCF of Fractions of 5448/732, 1457/286
1. What is the HCF of 5448,1457?
The HCF of 5448,1457 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 5448/732, 1457/286?
Answer: GCF of Numerators as per given numbers 5448/732, 1457/286 is
GCF of Numerators i.e. for 5448,1457 is 1
LCM of denominators i.e. for 732,286 is 104676.
Thus, GCF of Fractions is 1/104676.Finally, GCF of Fractions for 5448/732, 1457/286 is 1/104676.