GCF of 1350/158, 2200/2238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1350/158, 2200/2238 i.e 50/176802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1350/158, 2200/2238.
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 1350/158,2200/2238?
Given fractions are 1350/158,2200/2238
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 1350/158,2200/2238, numerators are 1350,2200
Denominators are 158,2238
The GCF of 1350,2200 is 50 .
LCM of 158,2238 is 176802.
The greatest common factor of 1350/158,2200/2238 = [GCF of 1350,2200]/[LCM of 158,2238]= 50/176802
Therefore, the GCF of 1350/158,2200/2238 is 50/176802.
To find the highest common factor of 1350,2200, we have to find the factors of both numbers and list the highest common factor.
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
The factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200
The HCF of 1350,2200 is 50.
Lets's calculate GCF of 1350,2200
| 2 | 1350, 2200 |
| 5 | 675, 1100 |
| 5 | 135, 220 |
| 27, 44 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 1350,2200 By Matching Biggest Common Factor Method
Now, list down the factors of 1350
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Now, list down the factors of 2200
:1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200
Greatest Common Factor
We found the factors 1350,2200 . The biggest common factor number is the GCF number.
So the greatest common factor 1350,2200 is 50.
Lets's calculate LCM of 158,2238
| 2 | 158, 2238 |
| 79, 1119 |
∴ So the LCM of the given numbers is 2 x 79 x 1119 = 176802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/176802
Therefore, the GCF of Fractions 1350/158,2200/2238 is 50/176802
Least Common Multiple of 158,2238 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 158,2238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,2238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,2238) x common factors =2 x 1 = 2
LCM(158,2238) = ( 158 × 2238 ) / 2
LCM(158,2238) = 353604 / 2
LCM(158,2238) = 176802
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FAQs on GCF of Fractions of 1350/158, 2200/2238
1. What is the HCF of 1350,2200?
The HCF of 1350,2200 is 50
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 1350/158, 2200/2238?
Answer: GCF of Numerators as per given numbers 1350/158, 2200/2238 is
GCF of Numerators i.e. for 1350,2200 is 50
LCM of denominators i.e. for 158,2238 is 176802.
Thus, GCF of Fractions is 50/176802.Finally, GCF of Fractions for 1350/158, 2200/2238 is 50/176802.