GCF of 5244/683, 5680/796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5244/683, 5680/796 i.e 4/543668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5244/683, 5680/796.
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 5244/683,5680/796?
Given fractions are 5244/683,5680/796
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 5244/683,5680/796, numerators are 5244,5680
Denominators are 683,796
The GCF of 5244,5680 is 4 .
LCM of 683,796 is 543668.
The greatest common factor of 5244/683,5680/796 = [GCF of 5244,5680]/[LCM of 683,796]= 4/543668
Therefore, the GCF of 5244/683,5680/796 is 4/543668.
To find the highest common factor of 5244,5680, we have to find the factors of both numbers and list the highest common factor.
The factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244
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 HCF of 5244,5680 is 4.
Lets's calculate GCF of 5244,5680
| 2 | 5244, 5680 |
| 2 | 2622, 2840 |
| 1311, 1420 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5244,5680 By Matching Biggest Common Factor Method
Now, list down the factors of 5244
:1,2,3,4,6,12,19,23,38,46,57,69,76,92,114,138,228,276,437,874,1311,1748,2622,5244
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
Greatest Common Factor
We found the factors 5244,5680 . The biggest common factor number is the GCF number.
So the greatest common factor 5244,5680 is 4.
Lets's calculate LCM of 683,796
Given numbers has no common factors except 1. So, there LCM is their product i.e 543668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/543668
Therefore, the GCF of Fractions 5244/683,5680/796 is 4/543668
Least Common Multiple of 683,796 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 683,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,796) x common factors =1 x 1 = 1
LCM(683,796) = ( 683 × 796 ) / 1
LCM(683,796) = 543668 / 1
LCM(683,796) = 543668
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FAQs on GCF of Fractions of 5244/683, 5680/796
1. What is the HCF of 5244,5680?
The HCF of 5244,5680 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 5244/683, 5680/796?
Answer: GCF of Numerators as per given numbers 5244/683, 5680/796 is
GCF of Numerators i.e. for 5244,5680 is 4
LCM of denominators i.e. for 683,796 is 543668.
Thus, GCF of Fractions is 4/543668.Finally, GCF of Fractions for 5244/683, 5680/796 is 4/543668.