GCF of 5680/121, 5496/2013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5680/121, 5496/2013 i.e 8/22143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5680/121, 5496/2013.
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 5680/121,5496/2013?
Given fractions are 5680/121,5496/2013
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 5680/121,5496/2013, numerators are 5680,5496
Denominators are 121,2013
The GCF of 5680,5496 is 8 .
LCM of 121,2013 is 22143.
The greatest common factor of 5680/121,5496/2013 = [GCF of 5680,5496]/[LCM of 121,2013]= 8/22143
Therefore, the GCF of 5680/121,5496/2013 is 8/22143.
To find the highest common factor of 5680,5496, we have to find the factors of both numbers and list the highest common factor.
The factors of 5680 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680
The factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496
The HCF of 5680,5496 is 8.
Lets's calculate GCF of 5680,5496
| 2 | 5680, 5496 |
| 2 | 2840, 2748 |
| 2 | 1420, 1374 |
| 710, 687 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5680,5496 By Matching Biggest Common Factor Method
Now, list down the factors of 5680
:1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680
Now, list down the factors of 5496
:1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496
Greatest Common Factor
We found the factors 5680,5496 . The biggest common factor number is the GCF number.
So the greatest common factor 5680,5496 is 8.
Lets's calculate LCM of 121,2013
| 11 | 121, 2013 |
| 11, 183 |
∴ So the LCM of the given numbers is 11 x 11 x 183 = 22143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/22143
Therefore, the GCF of Fractions 5680/121,5496/2013 is 8/22143
Least Common Multiple of 121,2013 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 121,2013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,2013) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(121,2013) x common factors =11 x 1 = 11
LCM(121,2013) = ( 121 × 2013 ) / 11
LCM(121,2013) = 243573 / 11
LCM(121,2013) = 22143
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FAQs on GCF of Fractions of 5680/121, 5496/2013
1. What is the HCF of 5680,5496?
The HCF of 5680,5496 is 8
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 5680/121, 5496/2013?
Answer: GCF of Numerators as per given numbers 5680/121, 5496/2013 is
GCF of Numerators i.e. for 5680,5496 is 8
LCM of denominators i.e. for 121,2013 is 22143.
Thus, GCF of Fractions is 8/22143.Finally, GCF of Fractions for 5680/121, 5496/2013 is 8/22143.