GCF of 5460/127, 8745/4896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5460/127, 8745/4896 i.e 15/621792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5460/127, 8745/4896.
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 5460/127,8745/4896?
Given fractions are 5460/127,8745/4896
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 5460/127,8745/4896, numerators are 5460,8745
Denominators are 127,4896
The GCF of 5460,8745 is 15 .
LCM of 127,4896 is 621792.
The greatest common factor of 5460/127,8745/4896 = [GCF of 5460,8745]/[LCM of 127,4896]= 15/621792
Therefore, the GCF of 5460/127,8745/4896 is 15/621792.
To find the highest common factor of 5460,8745, we have to find the factors of both numbers and list the highest common factor.
The factors of 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460
The factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745
The HCF of 5460,8745 is 15.
Lets's calculate GCF of 5460,8745
| 3 | 5460, 8745 |
| 5 | 1820, 2915 |
| 364, 583 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5460,8745 By Matching Biggest Common Factor Method
Now, list down the factors of 5460
:1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460
Now, list down the factors of 8745
:1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745
Greatest Common Factor
We found the factors 5460,8745 . The biggest common factor number is the GCF number.
So the greatest common factor 5460,8745 is 15.
Lets's calculate LCM of 127,4896
Given numbers has no common factors except 1. So, there LCM is their product i.e 621792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/621792
Therefore, the GCF of Fractions 5460/127,8745/4896 is 15/621792
Least Common Multiple of 127,4896 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 127,4896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,4896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,4896) x common factors =1 x 1 = 1
LCM(127,4896) = ( 127 × 4896 ) / 1
LCM(127,4896) = 621792 / 1
LCM(127,4896) = 621792
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5460/127, 8745/4896
1. What is the HCF of 5460,8745?
The HCF of 5460,8745 is 15
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 5460/127, 8745/4896?
Answer: GCF of Numerators as per given numbers 5460/127, 8745/4896 is
GCF of Numerators i.e. for 5460,8745 is 15
LCM of denominators i.e. for 127,4896 is 621792.
Thus, GCF of Fractions is 15/621792.Finally, GCF of Fractions for 5460/127, 8745/4896 is 15/621792.