GCF of 5656/135, 7280/6833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5656/135, 7280/6833 i.e 56/922455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5656/135, 7280/6833.
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 5656/135,7280/6833?
Given fractions are 5656/135,7280/6833
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 5656/135,7280/6833, numerators are 5656,7280
Denominators are 135,6833
The GCF of 5656,7280 is 56 .
LCM of 135,6833 is 922455.
The greatest common factor of 5656/135,7280/6833 = [GCF of 5656,7280]/[LCM of 135,6833]= 56/922455
Therefore, the GCF of 5656/135,7280/6833 is 56/922455.
To find the highest common factor of 5656,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The HCF of 5656,7280 is 56.
Lets's calculate GCF of 5656,7280
| 2 | 5656, 7280 |
| 2 | 2828, 3640 |
| 2 | 1414, 1820 |
| 7 | 707, 910 |
| 101, 130 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 5656,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 5656
:1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Greatest Common Factor
We found the factors 5656,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 5656,7280 is 56.
Lets's calculate LCM of 135,6833
Given numbers has no common factors except 1. So, there LCM is their product i.e 922455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/922455
Therefore, the GCF of Fractions 5656/135,7280/6833 is 56/922455
Least Common Multiple of 135,6833 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 135,6833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,6833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,6833) x common factors =1 x 1 = 1
LCM(135,6833) = ( 135 × 6833 ) / 1
LCM(135,6833) = 922455 / 1
LCM(135,6833) = 922455
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FAQs on GCF of Fractions of 5656/135, 7280/6833
1. What is the HCF of 5656,7280?
The HCF of 5656,7280 is 56
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 5656/135, 7280/6833?
Answer: GCF of Numerators as per given numbers 5656/135, 7280/6833 is
GCF of Numerators i.e. for 5656,7280 is 56
LCM of denominators i.e. for 135,6833 is 922455.
Thus, GCF of Fractions is 56/922455.Finally, GCF of Fractions for 5656/135, 7280/6833 is 56/922455.