GCF of 4674/838, 1140/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4674/838, 1140/109 i.e 114/91342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4674/838, 1140/109.
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 4674/838,1140/109?
Given fractions are 4674/838,1140/109
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 4674/838,1140/109, numerators are 4674,1140
Denominators are 838,109
The GCF of 4674,1140 is 114 .
LCM of 838,109 is 91342.
The greatest common factor of 4674/838,1140/109 = [GCF of 4674,1140]/[LCM of 838,109]= 114/91342
Therefore, the GCF of 4674/838,1140/109 is 114/91342.
To find the highest common factor of 4674,1140, we have to find the factors of both numbers and list the highest common factor.
The factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674
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 HCF of 4674,1140 is 114.
Lets's calculate GCF of 4674,1140
| 2 | 4674, 1140 |
| 3 | 2337, 570 |
| 19 | 779, 190 |
| 41, 10 |
∴ So the GCF of the given numbers is 2 x 3 x 19 = 114
Greatest Common Factor of 4674,1140 By Matching Biggest Common Factor Method
Now, list down the factors of 4674
:1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674
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
Greatest Common Factor
We found the factors 4674,1140 . The biggest common factor number is the GCF number.
So the greatest common factor 4674,1140 is 114.
Lets's calculate LCM of 838,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 91342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 114/91342
Therefore, the GCF of Fractions 4674/838,1140/109 is 114/91342
Least Common Multiple of 838,109 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 838,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,109) x common factors =1 x 1 = 1
LCM(838,109) = ( 838 × 109 ) / 1
LCM(838,109) = 91342 / 1
LCM(838,109) = 91342
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FAQs on GCF of Fractions of 4674/838, 1140/109
1. What is the HCF of 4674,1140?
The HCF of 4674,1140 is 114
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 4674/838, 1140/109?
Answer: GCF of Numerators as per given numbers 4674/838, 1140/109 is
GCF of Numerators i.e. for 4674,1140 is 114
LCM of denominators i.e. for 838,109 is 91342.
Thus, GCF of Fractions is 114/91342.Finally, GCF of Fractions for 4674/838, 1140/109 is 114/91342.