GCF of 3012/224, 9963/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3012/224, 9963/686 i.e 3/10976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3012/224, 9963/686.
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 3012/224,9963/686?
Given fractions are 3012/224,9963/686
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 3012/224,9963/686, numerators are 3012,9963
Denominators are 224,686
The GCF of 3012,9963 is 3 .
LCM of 224,686 is 10976.
The greatest common factor of 3012/224,9963/686 = [GCF of 3012,9963]/[LCM of 224,686]= 3/10976
Therefore, the GCF of 3012/224,9963/686 is 3/10976.
To find the highest common factor of 3012,9963, we have to find the factors of both numbers and list the highest common factor.
The factors of 3012 are 1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012
The factors of 9963 are 1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963
The HCF of 3012,9963 is 3.
Lets's calculate GCF of 3012,9963
| 3 | 3012, 9963 |
| 1004, 3321 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3012,9963 By Matching Biggest Common Factor Method
Now, list down the factors of 3012
:1,2,3,4,6,12,251,502,753,1004,1506,3012
Now, list down the factors of 9963
:1,3,9,27,41,81,123,243,369,1107,3321,9963
Greatest Common Factor
We found the factors 3012,9963 . The biggest common factor number is the GCF number.
So the greatest common factor 3012,9963 is 3.
Lets's calculate LCM of 224,686
| 2 | 224, 686 |
| 7 | 112, 343 |
| 16, 49 |
∴ So the LCM of the given numbers is 2 x 7 x 16 x 49 = 10976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10976
Therefore, the GCF of Fractions 3012/224,9963/686 is 3/10976
Least Common Multiple of 224,686 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 224,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,686) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(224,686) x common factors =14 x 1 = 14
LCM(224,686) = ( 224 × 686 ) / 14
LCM(224,686) = 153664 / 14
LCM(224,686) = 10976
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FAQs on GCF of Fractions of 3012/224, 9963/686
1. What is the HCF of 3012,9963?
The HCF of 3012,9963 is 3
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 3012/224, 9963/686?
Answer: GCF of Numerators as per given numbers 3012/224, 9963/686 is
GCF of Numerators i.e. for 3012,9963 is 3
LCM of denominators i.e. for 224,686 is 10976.
Thus, GCF of Fractions is 3/10976.Finally, GCF of Fractions for 3012/224, 9963/686 is 3/10976.