GCF of 1985/674, 3375/182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1985/674, 3375/182 i.e 5/61334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1985/674, 3375/182.
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 1985/674,3375/182?
Given fractions are 1985/674,3375/182
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 1985/674,3375/182, numerators are 1985,3375
Denominators are 674,182
The GCF of 1985,3375 is 5 .
LCM of 674,182 is 61334.
The greatest common factor of 1985/674,3375/182 = [GCF of 1985,3375]/[LCM of 674,182]= 5/61334
Therefore, the GCF of 1985/674,3375/182 is 5/61334.
To find the highest common factor of 1985,3375, we have to find the factors of both numbers and list the highest common factor.
The factors of 1985 are 1, 5, 397, 1985
The factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375
The HCF of 1985,3375 is 5.
Lets's calculate GCF of 1985,3375
| 5 | 1985, 3375 |
| 397, 675 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1985,3375 By Matching Biggest Common Factor Method
Now, list down the factors of 1985
:1,5,397,1985
Now, list down the factors of 3375
:1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375
Greatest Common Factor
We found the factors 1985,3375 . The biggest common factor number is the GCF number.
So the greatest common factor 1985,3375 is 5.
Lets's calculate LCM of 674,182
| 2 | 674, 182 |
| 337, 91 |
∴ So the LCM of the given numbers is 2 x 337 x 91 = 61334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/61334
Therefore, the GCF of Fractions 1985/674,3375/182 is 5/61334
Least Common Multiple of 674,182 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 674,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,182) x common factors =2 x 1 = 2
LCM(674,182) = ( 674 × 182 ) / 2
LCM(674,182) = 122668 / 2
LCM(674,182) = 61334
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FAQs on GCF of Fractions of 1985/674, 3375/182
1. What is the HCF of 1985,3375?
The HCF of 1985,3375 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 1985/674, 3375/182?
Answer: GCF of Numerators as per given numbers 1985/674, 3375/182 is
GCF of Numerators i.e. for 1985,3375 is 5
LCM of denominators i.e. for 674,182 is 61334.
Thus, GCF of Fractions is 5/61334.Finally, GCF of Fractions for 1985/674, 3375/182 is 5/61334.