GCF of 2200/235, 4246/7050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2200/235, 4246/7050 i.e 22/7050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2200/235, 4246/7050.
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 2200/235,4246/7050?
Given fractions are 2200/235,4246/7050
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 2200/235,4246/7050, numerators are 2200,4246
Denominators are 235,7050
The GCF of 2200,4246 is 22 .
LCM of 235,7050 is 7050.
The greatest common factor of 2200/235,4246/7050 = [GCF of 2200,4246]/[LCM of 235,7050]= 22/7050
Therefore, the GCF of 2200/235,4246/7050 is 22/7050.
To find the highest common factor of 2200,4246, we have to find the factors of both numbers and list the highest common factor.
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 factors of 4246 are 1, 2, 11, 22, 193, 386, 2123, 4246
The HCF of 2200,4246 is 22.
Lets's calculate GCF of 2200,4246
| 2 | 2200, 4246 |
| 11 | 1100, 2123 |
| 100, 193 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 2200,4246 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4246
:1,2,11,22,193,386,2123,4246
Greatest Common Factor
We found the factors 2200,4246 . The biggest common factor number is the GCF number.
So the greatest common factor 2200,4246 is 22.
Lets's calculate LCM of 235,7050
| 5 | 235, 7050 |
| 47 | 47, 1410 |
| 1, 30 |
∴ So the LCM of the given numbers is 5 x 47 x 1 x 30 = 7050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/7050
Therefore, the GCF of Fractions 2200/235,4246/7050 is 22/7050
Least Common Multiple of 235,7050 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 235,7050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,7050) = 235
common factors(in case of two or more numbers have common factors) = 1
GCF(235,7050) x common factors =235 x 1 = 235
LCM(235,7050) = ( 235 × 7050 ) / 235
LCM(235,7050) = 1656750 / 235
LCM(235,7050) = 7050
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FAQs on GCF of Fractions of 2200/235, 4246/7050
1. What is the HCF of 2200,4246?
The HCF of 2200,4246 is 22
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 2200/235, 4246/7050?
Answer: GCF of Numerators as per given numbers 2200/235, 4246/7050 is
GCF of Numerators i.e. for 2200,4246 is 22
LCM of denominators i.e. for 235,7050 is 7050.
Thus, GCF of Fractions is 22/7050.Finally, GCF of Fractions for 2200/235, 4246/7050 is 22/7050.