GCF of 5060/564, 8256/5040
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5060/564, 8256/5040 i.e 4/236880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5060/564, 8256/5040.
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 5060/564,8256/5040?
Given fractions are 5060/564,8256/5040
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 5060/564,8256/5040, numerators are 5060,8256
Denominators are 564,5040
The GCF of 5060,8256 is 4 .
LCM of 564,5040 is 236880.
The greatest common factor of 5060/564,8256/5040 = [GCF of 5060,8256]/[LCM of 564,5040]= 4/236880
Therefore, the GCF of 5060/564,8256/5040 is 4/236880.
To find the highest common factor of 5060,8256, we have to find the factors of both numbers and list the highest common factor.
The factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The HCF of 5060,8256 is 4.
Lets's calculate GCF of 5060,8256
| 2 | 5060, 8256 |
| 2 | 2530, 4128 |
| 1265, 2064 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5060,8256 By Matching Biggest Common Factor Method
Now, list down the factors of 5060
:1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Greatest Common Factor
We found the factors 5060,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 5060,8256 is 4.
Lets's calculate LCM of 564,5040
| 2 | 564, 5040 |
| 2 | 282, 2520 |
| 3 | 141, 1260 |
| 47, 420 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 420 = 236880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/236880
Therefore, the GCF of Fractions 5060/564,8256/5040 is 4/236880
Least Common Multiple of 564,5040 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 564,5040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,5040) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(564,5040) x common factors =12 x 1 = 12
LCM(564,5040) = ( 564 × 5040 ) / 12
LCM(564,5040) = 2842560 / 12
LCM(564,5040) = 236880
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5060/564, 8256/5040
1. What is the HCF of 5060,8256?
The HCF of 5060,8256 is 4
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 5060/564, 8256/5040?
Answer: GCF of Numerators as per given numbers 5060/564, 8256/5040 is
GCF of Numerators i.e. for 5060,8256 is 4
LCM of denominators i.e. for 564,5040 is 236880.
Thus, GCF of Fractions is 4/236880.Finally, GCF of Fractions for 5060/564, 8256/5040 is 4/236880.