GCF of 95/209, 48/513, 674/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/209, 48/513, 674/405 i.e 1/84645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/209, 48/513, 674/405.
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 95/209,48/513,674/405?
Given fractions are 95/209,48/513,674/405
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 95/209,48/513,674/405, numerators are 95,48,674
Denominators are 209,513,405
The GCF of 95,48,674 is 1 .
LCM of 209,513,405 is 84645.
The greatest common factor of 95/209,48/513,674/405 = [GCF of 95,48,674]/[LCM of 209,513,405]= 1/84645
Therefore, the GCF of 95/209,48/513,674/405 is 1/84645.
To find the highest common factor of 95,48,674, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 674 are 1, 2, 337, 674
The HCF of 95,48,674 is 1.
Lets's calculate GCF of 95,48,674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,48,674 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 674
:1,2,337,674
Greatest Common Factor
We found the factors 95,48,674 . The biggest common factor number is the GCF number.
So the greatest common factor 95,48,674 is 1.
Lets's calculate LCM of 209,513,405
| 3 | 209, 513, 405 |
| 3 | 209, 171, 135 |
| 3 | 209, 57, 45 |
| 19 | 209, 19, 15 |
| 11, 1, 15 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 19 x 11 x 1 x 15 = 84645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84645
Therefore, the GCF of Fractions 95/209,48/513,674/405 is 1/84645
Least Common Multiple of 209,513,405 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 209,513,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,513,405) = 1
common factors(in case of two or more numbers have common factors) = 513
GCF(209,513,405) x common factors =1 x 513 = 513
LCM(209,513,405) = ( 209 × 513 × 405 ) / 513
LCM(209,513,405) = 43422885 / 513
LCM(209,513,405) = 84645
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FAQs on GCF of Fractions of 95/209, 48/513, 674/405
1. What is the HCF of 95,48,674?
The HCF of 95,48,674 is 1
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 95/209, 48/513, 674/405?
Answer: GCF of Numerators as per given numbers 95/209, 48/513, 674/405 is
GCF of Numerators i.e. for 95,48,674 is 1
LCM of denominators i.e. for 209,513,405 is 84645.
Thus, GCF of Fractions is 1/84645.Finally, GCF of Fractions for 95/209, 48/513, 674/405 is 1/84645.