GCF of 9961/912, 7406/2943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9961/912, 7406/2943 i.e 7/894672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9961/912, 7406/2943.
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 9961/912,7406/2943?
Given fractions are 9961/912,7406/2943
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 9961/912,7406/2943, numerators are 9961,7406
Denominators are 912,2943
The GCF of 9961,7406 is 7 .
LCM of 912,2943 is 894672.
The greatest common factor of 9961/912,7406/2943 = [GCF of 9961,7406]/[LCM of 912,2943]= 7/894672
Therefore, the GCF of 9961/912,7406/2943 is 7/894672.
To find the highest common factor of 9961,7406, we have to find the factors of both numbers and list the highest common factor.
The factors of 9961 are 1, 7, 1423, 9961
The factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406
The HCF of 9961,7406 is 7.
Lets's calculate GCF of 9961,7406
| 7 | 9961, 7406 |
| 1423, 1058 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9961,7406 By Matching Biggest Common Factor Method
Now, list down the factors of 9961
:1,7,1423,9961
Now, list down the factors of 7406
:1,2,7,14,23,46,161,322,529,1058,3703,7406
Greatest Common Factor
We found the factors 9961,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 9961,7406 is 7.
Lets's calculate LCM of 912,2943
| 3 | 912, 2943 |
| 304, 981 |
∴ So the LCM of the given numbers is 3 x 304 x 981 = 894672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/894672
Therefore, the GCF of Fractions 9961/912,7406/2943 is 7/894672
Least Common Multiple of 912,2943 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 912,2943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,2943) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(912,2943) x common factors =3 x 1 = 3
LCM(912,2943) = ( 912 × 2943 ) / 3
LCM(912,2943) = 2684016 / 3
LCM(912,2943) = 894672
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FAQs on GCF of Fractions of 9961/912, 7406/2943
1. What is the HCF of 9961,7406?
The HCF of 9961,7406 is 7
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 9961/912, 7406/2943?
Answer: GCF of Numerators as per given numbers 9961/912, 7406/2943 is
GCF of Numerators i.e. for 9961,7406 is 7
LCM of denominators i.e. for 912,2943 is 894672.
Thus, GCF of Fractions is 7/894672.Finally, GCF of Fractions for 9961/912, 7406/2943 is 7/894672.