GCF of 2282/413, 7250/4091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2282/413, 7250/4091 i.e 2/1689583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2282/413, 7250/4091.
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 2282/413,7250/4091?
Given fractions are 2282/413,7250/4091
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 2282/413,7250/4091, numerators are 2282,7250
Denominators are 413,4091
The GCF of 2282,7250 is 2 .
LCM of 413,4091 is 1689583.
The greatest common factor of 2282/413,7250/4091 = [GCF of 2282,7250]/[LCM of 413,4091]= 2/1689583
Therefore, the GCF of 2282/413,7250/4091 is 2/1689583.
To find the highest common factor of 2282,7250, we have to find the factors of both numbers and list the highest common factor.
The factors of 2282 are 1, 2, 7, 14, 163, 326, 1141, 2282
The factors of 7250 are 1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 725, 1450, 3625, 7250
The HCF of 2282,7250 is 2.
Lets's calculate GCF of 2282,7250
| 2 | 2282, 7250 |
| 1141, 3625 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2282,7250 By Matching Biggest Common Factor Method
Now, list down the factors of 2282
:1,2,7,14,163,326,1141,2282
Now, list down the factors of 7250
:1,2,5,10,25,29,50,58,125,145,250,290,725,1450,3625,7250
Greatest Common Factor
We found the factors 2282,7250 . The biggest common factor number is the GCF number.
So the greatest common factor 2282,7250 is 2.
Lets's calculate LCM of 413,4091
Given numbers has no common factors except 1. So, there LCM is their product i.e 1689583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1689583
Therefore, the GCF of Fractions 2282/413,7250/4091 is 2/1689583
Least Common Multiple of 413,4091 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 413,4091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,4091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,4091) x common factors =1 x 1 = 1
LCM(413,4091) = ( 413 × 4091 ) / 1
LCM(413,4091) = 1689583 / 1
LCM(413,4091) = 1689583
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FAQs on GCF of Fractions of 2282/413, 7250/4091
1. What is the HCF of 2282,7250?
The HCF of 2282,7250 is 2
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 2282/413, 7250/4091?
Answer: GCF of Numerators as per given numbers 2282/413, 7250/4091 is
GCF of Numerators i.e. for 2282,7250 is 2
LCM of denominators i.e. for 413,4091 is 1689583.
Thus, GCF of Fractions is 2/1689583.Finally, GCF of Fractions for 2282/413, 7250/4091 is 2/1689583.