GCF of 2245/182, 8450/7228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2245/182, 8450/7228 i.e 5/50596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2245/182, 8450/7228.
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 2245/182,8450/7228?
Given fractions are 2245/182,8450/7228
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 2245/182,8450/7228, numerators are 2245,8450
Denominators are 182,7228
The GCF of 2245,8450 is 5 .
LCM of 182,7228 is 50596.
The greatest common factor of 2245/182,8450/7228 = [GCF of 2245,8450]/[LCM of 182,7228]= 5/50596
Therefore, the GCF of 2245/182,8450/7228 is 5/50596.
To find the highest common factor of 2245,8450, we have to find the factors of both numbers and list the highest common factor.
The factors of 2245 are 1, 5, 449, 2245
The factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
The HCF of 2245,8450 is 5.
Lets's calculate GCF of 2245,8450
| 5 | 2245, 8450 |
| 449, 1690 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2245,8450 By Matching Biggest Common Factor Method
Now, list down the factors of 2245
:1,5,449,2245
Now, list down the factors of 8450
:1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Greatest Common Factor
We found the factors 2245,8450 . The biggest common factor number is the GCF number.
So the greatest common factor 2245,8450 is 5.
Lets's calculate LCM of 182,7228
| 2 | 182, 7228 |
| 13 | 91, 3614 |
| 7, 278 |
∴ So the LCM of the given numbers is 2 x 13 x 7 x 278 = 50596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/50596
Therefore, the GCF of Fractions 2245/182,8450/7228 is 5/50596
Least Common Multiple of 182,7228 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 182,7228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,7228) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(182,7228) x common factors =26 x 1 = 26
LCM(182,7228) = ( 182 × 7228 ) / 26
LCM(182,7228) = 1315496 / 26
LCM(182,7228) = 50596
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FAQs on GCF of Fractions of 2245/182, 8450/7228
1. What is the HCF of 2245,8450?
The HCF of 2245,8450 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 2245/182, 8450/7228?
Answer: GCF of Numerators as per given numbers 2245/182, 8450/7228 is
GCF of Numerators i.e. for 2245,8450 is 5
LCM of denominators i.e. for 182,7228 is 50596.
Thus, GCF of Fractions is 5/50596.Finally, GCF of Fractions for 2245/182, 8450/7228 is 5/50596.