GCF of 2256/767, 5520/4561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2256/767, 5520/4561 i.e 48/3498287 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2256/767, 5520/4561.
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 2256/767,5520/4561?
Given fractions are 2256/767,5520/4561
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 2256/767,5520/4561, numerators are 2256,5520
Denominators are 767,4561
The GCF of 2256,5520 is 48 .
LCM of 767,4561 is 3498287.
The greatest common factor of 2256/767,5520/4561 = [GCF of 2256,5520]/[LCM of 767,4561]= 48/3498287
Therefore, the GCF of 2256/767,5520/4561 is 48/3498287.
To find the highest common factor of 2256,5520, we have to find the factors of both numbers and list the highest common factor.
The factors of 2256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 47, 48, 94, 141, 188, 282, 376, 564, 752, 1128, 2256
The factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520
The HCF of 2256,5520 is 48.
Lets's calculate GCF of 2256,5520
| 2 | 2256, 5520 |
| 2 | 1128, 2760 |
| 2 | 564, 1380 |
| 2 | 282, 690 |
| 3 | 141, 345 |
| 47, 115 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 2256,5520 By Matching Biggest Common Factor Method
Now, list down the factors of 2256
:1,2,3,4,6,8,12,16,24,47,48,94,141,188,282,376,564,752,1128,2256
Now, list down the factors of 5520
:1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520
Greatest Common Factor
We found the factors 2256,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 2256,5520 is 48.
Lets's calculate LCM of 767,4561
Given numbers has no common factors except 1. So, there LCM is their product i.e 3498287
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/3498287
Therefore, the GCF of Fractions 2256/767,5520/4561 is 48/3498287
Least Common Multiple of 767,4561 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 767,4561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,4561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,4561) x common factors =1 x 1 = 1
LCM(767,4561) = ( 767 × 4561 ) / 1
LCM(767,4561) = 3498287 / 1
LCM(767,4561) = 3498287
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FAQs on GCF of Fractions of 2256/767, 5520/4561
1. What is the HCF of 2256,5520?
The HCF of 2256,5520 is 48
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 2256/767, 5520/4561?
Answer: GCF of Numerators as per given numbers 2256/767, 5520/4561 is
GCF of Numerators i.e. for 2256,5520 is 48
LCM of denominators i.e. for 767,4561 is 3498287.
Thus, GCF of Fractions is 48/3498287.Finally, GCF of Fractions for 2256/767, 5520/4561 is 48/3498287.