GCF of 1476/485, 5781/7544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1476/485, 5781/7544 i.e 123/3658840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1476/485, 5781/7544.
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 1476/485,5781/7544?
Given fractions are 1476/485,5781/7544
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 1476/485,5781/7544, numerators are 1476,5781
Denominators are 485,7544
The GCF of 1476,5781 is 123 .
LCM of 485,7544 is 3658840.
The greatest common factor of 1476/485,5781/7544 = [GCF of 1476,5781]/[LCM of 485,7544]= 123/3658840
Therefore, the GCF of 1476/485,5781/7544 is 123/3658840.
To find the highest common factor of 1476,5781, we have to find the factors of both numbers and list the highest common factor.
The factors of 1476 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476
The factors of 5781 are 1, 3, 41, 47, 123, 141, 1927, 5781
The HCF of 1476,5781 is 123.
Lets's calculate GCF of 1476,5781
| 3 | 1476, 5781 |
| 41 | 492, 1927 |
| 12, 47 |
∴ So the GCF of the given numbers is 3 x 41 = 123
Greatest Common Factor of 1476,5781 By Matching Biggest Common Factor Method
Now, list down the factors of 1476
:1,2,3,4,6,9,12,18,36,41,82,123,164,246,369,492,738,1476
Now, list down the factors of 5781
:1,3,41,47,123,141,1927,5781
Greatest Common Factor
We found the factors 1476,5781 . The biggest common factor number is the GCF number.
So the greatest common factor 1476,5781 is 123.
Lets's calculate LCM of 485,7544
Given numbers has no common factors except 1. So, there LCM is their product i.e 3658840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 123/3658840
Therefore, the GCF of Fractions 1476/485,5781/7544 is 123/3658840
Least Common Multiple of 485,7544 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 485,7544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,7544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,7544) x common factors =1 x 1 = 1
LCM(485,7544) = ( 485 × 7544 ) / 1
LCM(485,7544) = 3658840 / 1
LCM(485,7544) = 3658840
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FAQs on GCF of Fractions of 1476/485, 5781/7544
1. What is the HCF of 1476,5781?
The HCF of 1476,5781 is 123
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 1476/485, 5781/7544?
Answer: GCF of Numerators as per given numbers 1476/485, 5781/7544 is
GCF of Numerators i.e. for 1476,5781 is 123
LCM of denominators i.e. for 485,7544 is 3658840.
Thus, GCF of Fractions is 123/3658840.Finally, GCF of Fractions for 1476/485, 5781/7544 is 123/3658840.