GCF of 9274/447, 1110/5148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9274/447, 1110/5148 i.e 2/767052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9274/447, 1110/5148.
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 9274/447,1110/5148?
Given fractions are 9274/447,1110/5148
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 9274/447,1110/5148, numerators are 9274,1110
Denominators are 447,5148
The GCF of 9274,1110 is 2 .
LCM of 447,5148 is 767052.
The greatest common factor of 9274/447,1110/5148 = [GCF of 9274,1110]/[LCM of 447,5148]= 2/767052
Therefore, the GCF of 9274/447,1110/5148 is 2/767052.
To find the highest common factor of 9274,1110, we have to find the factors of both numbers and list the highest common factor.
The factors of 9274 are 1, 2, 4637, 9274
The factors of 1110 are 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110
The HCF of 9274,1110 is 2.
Lets's calculate GCF of 9274,1110
| 2 | 9274, 1110 |
| 4637, 555 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9274,1110 By Matching Biggest Common Factor Method
Now, list down the factors of 9274
:1,2,4637,9274
Now, list down the factors of 1110
:1,2,3,5,6,10,15,30,37,74,111,185,222,370,555,1110
Greatest Common Factor
We found the factors 9274,1110 . The biggest common factor number is the GCF number.
So the greatest common factor 9274,1110 is 2.
Lets's calculate LCM of 447,5148
| 3 | 447, 5148 |
| 149, 1716 |
∴ So the LCM of the given numbers is 3 x 149 x 1716 = 767052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/767052
Therefore, the GCF of Fractions 9274/447,1110/5148 is 2/767052
Least Common Multiple of 447,5148 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 447,5148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,5148) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,5148) x common factors =3 x 1 = 3
LCM(447,5148) = ( 447 × 5148 ) / 3
LCM(447,5148) = 2301156 / 3
LCM(447,5148) = 767052
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FAQs on GCF of Fractions of 9274/447, 1110/5148
1. What is the HCF of 9274,1110?
The HCF of 9274,1110 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 9274/447, 1110/5148?
Answer: GCF of Numerators as per given numbers 9274/447, 1110/5148 is
GCF of Numerators i.e. for 9274,1110 is 2
LCM of denominators i.e. for 447,5148 is 767052.
Thus, GCF of Fractions is 2/767052.Finally, GCF of Fractions for 9274/447, 1110/5148 is 2/767052.