GCF of 1672/131, 5400/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1672/131, 5400/669 i.e 8/87639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1672/131, 5400/669.
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 1672/131,5400/669?
Given fractions are 1672/131,5400/669
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 1672/131,5400/669, numerators are 1672,5400
Denominators are 131,669
The GCF of 1672,5400 is 8 .
LCM of 131,669 is 87639.
The greatest common factor of 1672/131,5400/669 = [GCF of 1672,5400]/[LCM of 131,669]= 8/87639
Therefore, the GCF of 1672/131,5400/669 is 8/87639.
To find the highest common factor of 1672,5400, we have to find the factors of both numbers and list the highest common factor.
The factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672
The factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400
The HCF of 1672,5400 is 8.
Lets's calculate GCF of 1672,5400
| 2 | 1672, 5400 |
| 2 | 836, 2700 |
| 2 | 418, 1350 |
| 209, 675 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1672,5400 By Matching Biggest Common Factor Method
Now, list down the factors of 1672
:1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672
Now, list down the factors of 5400
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400
Greatest Common Factor
We found the factors 1672,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 1672,5400 is 8.
Lets's calculate LCM of 131,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 87639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/87639
Therefore, the GCF of Fractions 1672/131,5400/669 is 8/87639
Least Common Multiple of 131,669 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 131,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,669) x common factors =1 x 1 = 1
LCM(131,669) = ( 131 × 669 ) / 1
LCM(131,669) = 87639 / 1
LCM(131,669) = 87639
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FAQs on GCF of Fractions of 1672/131, 5400/669
1. What is the HCF of 1672,5400?
The HCF of 1672,5400 is 8
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 1672/131, 5400/669?
Answer: GCF of Numerators as per given numbers 1672/131, 5400/669 is
GCF of Numerators i.e. for 1672,5400 is 8
LCM of denominators i.e. for 131,669 is 87639.
Thus, GCF of Fractions is 8/87639.Finally, GCF of Fractions for 1672/131, 5400/669 is 8/87639.