GCF of 9310/282, 1784/2097
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9310/282, 1784/2097 i.e 2/197118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9310/282, 1784/2097.
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 9310/282,1784/2097?
Given fractions are 9310/282,1784/2097
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 9310/282,1784/2097, numerators are 9310,1784
Denominators are 282,2097
The GCF of 9310,1784 is 2 .
LCM of 282,2097 is 197118.
The greatest common factor of 9310/282,1784/2097 = [GCF of 9310,1784]/[LCM of 282,2097]= 2/197118
Therefore, the GCF of 9310/282,1784/2097 is 2/197118.
To find the highest common factor of 9310,1784, we have to find the factors of both numbers and list the highest common factor.
The factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310
The factors of 1784 are 1, 2, 4, 8, 223, 446, 892, 1784
The HCF of 9310,1784 is 2.
Lets's calculate GCF of 9310,1784
| 2 | 9310, 1784 |
| 4655, 892 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9310,1784 By Matching Biggest Common Factor Method
Now, list down the factors of 9310
:1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310
Now, list down the factors of 1784
:1,2,4,8,223,446,892,1784
Greatest Common Factor
We found the factors 9310,1784 . The biggest common factor number is the GCF number.
So the greatest common factor 9310,1784 is 2.
Lets's calculate LCM of 282,2097
| 3 | 282, 2097 |
| 94, 699 |
∴ So the LCM of the given numbers is 3 x 94 x 699 = 197118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197118
Therefore, the GCF of Fractions 9310/282,1784/2097 is 2/197118
Least Common Multiple of 282,2097 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 282,2097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,2097) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(282,2097) x common factors =3 x 1 = 3
LCM(282,2097) = ( 282 × 2097 ) / 3
LCM(282,2097) = 591354 / 3
LCM(282,2097) = 197118
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FAQs on GCF of Fractions of 9310/282, 1784/2097
1. What is the HCF of 9310,1784?
The HCF of 9310,1784 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 9310/282, 1784/2097?
Answer: GCF of Numerators as per given numbers 9310/282, 1784/2097 is
GCF of Numerators i.e. for 9310,1784 is 2
LCM of denominators i.e. for 282,2097 is 197118.
Thus, GCF of Fractions is 2/197118.Finally, GCF of Fractions for 9310/282, 1784/2097 is 2/197118.