GCF of 5670/681, 5130/2740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5670/681, 5130/2740 i.e 270/1865940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5670/681, 5130/2740.
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 5670/681,5130/2740?
Given fractions are 5670/681,5130/2740
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 5670/681,5130/2740, numerators are 5670,5130
Denominators are 681,2740
The GCF of 5670,5130 is 270 .
LCM of 681,2740 is 1865940.
The greatest common factor of 5670/681,5130/2740 = [GCF of 5670,5130]/[LCM of 681,2740]= 270/1865940
Therefore, the GCF of 5670/681,5130/2740 is 270/1865940.
To find the highest common factor of 5670,5130, we have to find the factors of both numbers and list the highest common factor.
The factors of 5670 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670
The factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130
The HCF of 5670,5130 is 270.
Lets's calculate GCF of 5670,5130
| 2 | 5670, 5130 |
| 3 | 2835, 2565 |
| 3 | 945, 855 |
| 3 | 315, 285 |
| 5 | 105, 95 |
| 21, 19 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 5 = 270
Greatest Common Factor of 5670,5130 By Matching Biggest Common Factor Method
Now, list down the factors of 5670
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670
Now, list down the factors of 5130
:1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130
Greatest Common Factor
We found the factors 5670,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 5670,5130 is 270.
Lets's calculate LCM of 681,2740
Given numbers has no common factors except 1. So, there LCM is their product i.e 1865940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 270/1865940
Therefore, the GCF of Fractions 5670/681,5130/2740 is 270/1865940
Least Common Multiple of 681,2740 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 681,2740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,2740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,2740) x common factors =1 x 1 = 1
LCM(681,2740) = ( 681 × 2740 ) / 1
LCM(681,2740) = 1865940 / 1
LCM(681,2740) = 1865940
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FAQs on GCF of Fractions of 5670/681, 5130/2740
1. What is the HCF of 5670,5130?
The HCF of 5670,5130 is 270
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 5670/681, 5130/2740?
Answer: GCF of Numerators as per given numbers 5670/681, 5130/2740 is
GCF of Numerators i.e. for 5670,5130 is 270
LCM of denominators i.e. for 681,2740 is 1865940.
Thus, GCF of Fractions is 270/1865940.Finally, GCF of Fractions for 5670/681, 5130/2740 is 270/1865940.