GCF of 1140/674, 2155/2064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1140/674, 2155/2064 i.e 5/695568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1140/674, 2155/2064.
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 1140/674,2155/2064?
Given fractions are 1140/674,2155/2064
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 1140/674,2155/2064, numerators are 1140,2155
Denominators are 674,2064
The GCF of 1140,2155 is 5 .
LCM of 674,2064 is 695568.
The greatest common factor of 1140/674,2155/2064 = [GCF of 1140,2155]/[LCM of 674,2064]= 5/695568
Therefore, the GCF of 1140/674,2155/2064 is 5/695568.
To find the highest common factor of 1140,2155, we have to find the factors of both numbers and list the highest common factor.
The factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140
The factors of 2155 are 1, 5, 431, 2155
The HCF of 1140,2155 is 5.
Lets's calculate GCF of 1140,2155
| 5 | 1140, 2155 |
| 228, 431 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1140,2155 By Matching Biggest Common Factor Method
Now, list down the factors of 1140
:1,2,3,4,5,6,10,12,15,19,20,30,38,57,60,76,95,114,190,228,285,380,570,1140
Now, list down the factors of 2155
:1,5,431,2155
Greatest Common Factor
We found the factors 1140,2155 . The biggest common factor number is the GCF number.
So the greatest common factor 1140,2155 is 5.
Lets's calculate LCM of 674,2064
| 2 | 674, 2064 |
| 337, 1032 |
∴ So the LCM of the given numbers is 2 x 337 x 1032 = 695568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/695568
Therefore, the GCF of Fractions 1140/674,2155/2064 is 5/695568
Least Common Multiple of 674,2064 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 674,2064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,2064) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,2064) x common factors =2 x 1 = 2
LCM(674,2064) = ( 674 × 2064 ) / 2
LCM(674,2064) = 1391136 / 2
LCM(674,2064) = 695568
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FAQs on GCF of Fractions of 1140/674, 2155/2064
1. What is the HCF of 1140,2155?
The HCF of 1140,2155 is 5
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 1140/674, 2155/2064?
Answer: GCF of Numerators as per given numbers 1140/674, 2155/2064 is
GCF of Numerators i.e. for 1140,2155 is 5
LCM of denominators i.e. for 674,2064 is 695568.
Thus, GCF of Fractions is 5/695568.Finally, GCF of Fractions for 1140/674, 2155/2064 is 5/695568.