GCF of 9224/442, 7150/7837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9224/442, 7150/7837 i.e 2/203762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9224/442, 7150/7837.
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 9224/442,7150/7837?
Given fractions are 9224/442,7150/7837
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 9224/442,7150/7837, numerators are 9224,7150
Denominators are 442,7837
The GCF of 9224,7150 is 2 .
LCM of 442,7837 is 203762.
The greatest common factor of 9224/442,7150/7837 = [GCF of 9224,7150]/[LCM of 442,7837]= 2/203762
Therefore, the GCF of 9224/442,7150/7837 is 2/203762.
To find the highest common factor of 9224,7150, we have to find the factors of both numbers and list the highest common factor.
The factors of 9224 are 1, 2, 4, 8, 1153, 2306, 4612, 9224
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The HCF of 9224,7150 is 2.
Lets's calculate GCF of 9224,7150
| 2 | 9224, 7150 |
| 4612, 3575 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9224,7150 By Matching Biggest Common Factor Method
Now, list down the factors of 9224
:1,2,4,8,1153,2306,4612,9224
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Greatest Common Factor
We found the factors 9224,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 9224,7150 is 2.
Lets's calculate LCM of 442,7837
| 17 | 442, 7837 |
| 26, 461 |
∴ So the LCM of the given numbers is 17 x 26 x 461 = 203762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/203762
Therefore, the GCF of Fractions 9224/442,7150/7837 is 2/203762
Least Common Multiple of 442,7837 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 442,7837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,7837) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(442,7837) x common factors =17 x 1 = 17
LCM(442,7837) = ( 442 × 7837 ) / 17
LCM(442,7837) = 3463954 / 17
LCM(442,7837) = 203762
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FAQs on GCF of Fractions of 9224/442, 7150/7837
1. What is the HCF of 9224,7150?
The HCF of 9224,7150 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 9224/442, 7150/7837?
Answer: GCF of Numerators as per given numbers 9224/442, 7150/7837 is
GCF of Numerators i.e. for 9224,7150 is 2
LCM of denominators i.e. for 442,7837 is 203762.
Thus, GCF of Fractions is 2/203762.Finally, GCF of Fractions for 9224/442, 7150/7837 is 2/203762.