GCF of 2156/970, 2040/3758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2156/970, 2040/3758 i.e 4/1822630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2156/970, 2040/3758.
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 2156/970,2040/3758?
Given fractions are 2156/970,2040/3758
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 2156/970,2040/3758, numerators are 2156,2040
Denominators are 970,3758
The GCF of 2156,2040 is 4 .
LCM of 970,3758 is 1822630.
The greatest common factor of 2156/970,2040/3758 = [GCF of 2156,2040]/[LCM of 970,3758]= 4/1822630
Therefore, the GCF of 2156/970,2040/3758 is 4/1822630.
To find the highest common factor of 2156,2040, we have to find the factors of both numbers and list the highest common factor.
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040
The HCF of 2156,2040 is 4.
Lets's calculate GCF of 2156,2040
| 2 | 2156, 2040 |
| 2 | 1078, 1020 |
| 539, 510 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2156,2040 By Matching Biggest Common Factor Method
Now, list down the factors of 2156
:1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Now, list down the factors of 2040
:1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040
Greatest Common Factor
We found the factors 2156,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 2156,2040 is 4.
Lets's calculate LCM of 970,3758
| 2 | 970, 3758 |
| 485, 1879 |
∴ So the LCM of the given numbers is 2 x 485 x 1879 = 1822630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1822630
Therefore, the GCF of Fractions 2156/970,2040/3758 is 4/1822630
Least Common Multiple of 970,3758 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 970,3758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,3758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,3758) x common factors =2 x 1 = 2
LCM(970,3758) = ( 970 × 3758 ) / 2
LCM(970,3758) = 3645260 / 2
LCM(970,3758) = 1822630
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FAQs on GCF of Fractions of 2156/970, 2040/3758
1. What is the HCF of 2156,2040?
The HCF of 2156,2040 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 2156/970, 2040/3758?
Answer: GCF of Numerators as per given numbers 2156/970, 2040/3758 is
GCF of Numerators i.e. for 2156,2040 is 4
LCM of denominators i.e. for 970,3758 is 1822630.
Thus, GCF of Fractions is 4/1822630.Finally, GCF of Fractions for 2156/970, 2040/3758 is 4/1822630.