GCF of 5520/786, 3100/1924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5520/786, 3100/1924 i.e 20/756132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5520/786, 3100/1924.
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 5520/786,3100/1924?
Given fractions are 5520/786,3100/1924
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 5520/786,3100/1924, numerators are 5520,3100
Denominators are 786,1924
The GCF of 5520,3100 is 20 .
LCM of 786,1924 is 756132.
The greatest common factor of 5520/786,3100/1924 = [GCF of 5520,3100]/[LCM of 786,1924]= 20/756132
Therefore, the GCF of 5520/786,3100/1924 is 20/756132.
To find the highest common factor of 5520,3100, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100
The HCF of 5520,3100 is 20.
Lets's calculate GCF of 5520,3100
| 2 | 5520, 3100 |
| 2 | 2760, 1550 |
| 5 | 1380, 775 |
| 276, 155 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5520,3100 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3100
:1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100
Greatest Common Factor
We found the factors 5520,3100 . The biggest common factor number is the GCF number.
So the greatest common factor 5520,3100 is 20.
Lets's calculate LCM of 786,1924
| 2 | 786, 1924 |
| 393, 962 |
∴ So the LCM of the given numbers is 2 x 393 x 962 = 756132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/756132
Therefore, the GCF of Fractions 5520/786,3100/1924 is 20/756132
Least Common Multiple of 786,1924 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 786,1924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,1924) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,1924) x common factors =2 x 1 = 2
LCM(786,1924) = ( 786 × 1924 ) / 2
LCM(786,1924) = 1512264 / 2
LCM(786,1924) = 756132
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5520/786, 3100/1924
1. What is the HCF of 5520,3100?
The HCF of 5520,3100 is 20
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 5520/786, 3100/1924?
Answer: GCF of Numerators as per given numbers 5520/786, 3100/1924 is
GCF of Numerators i.e. for 5520,3100 is 20
LCM of denominators i.e. for 786,1924 is 756132.
Thus, GCF of Fractions is 20/756132.Finally, GCF of Fractions for 5520/786, 3100/1924 is 20/756132.