GCF of 1992/477, 7332/4717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1992/477, 7332/4717 i.e 12/42453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1992/477, 7332/4717.
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 1992/477,7332/4717?
Given fractions are 1992/477,7332/4717
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 1992/477,7332/4717, numerators are 1992,7332
Denominators are 477,4717
The GCF of 1992,7332 is 12 .
LCM of 477,4717 is 42453.
The greatest common factor of 1992/477,7332/4717 = [GCF of 1992,7332]/[LCM of 477,4717]= 12/42453
Therefore, the GCF of 1992/477,7332/4717 is 12/42453.
To find the highest common factor of 1992,7332, we have to find the factors of both numbers and list the highest common factor.
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992
The factors of 7332 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332
The HCF of 1992,7332 is 12.
Lets's calculate GCF of 1992,7332
| 2 | 1992, 7332 |
| 2 | 996, 3666 |
| 3 | 498, 1833 |
| 166, 611 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1992,7332 By Matching Biggest Common Factor Method
Now, list down the factors of 1992
:1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Now, list down the factors of 7332
:1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332
Greatest Common Factor
We found the factors 1992,7332 . The biggest common factor number is the GCF number.
So the greatest common factor 1992,7332 is 12.
Lets's calculate LCM of 477,4717
| 53 | 477, 4717 |
| 9, 89 |
∴ So the LCM of the given numbers is 53 x 9 x 89 = 42453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/42453
Therefore, the GCF of Fractions 1992/477,7332/4717 is 12/42453
Least Common Multiple of 477,4717 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 477,4717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,4717) = 53
common factors(in case of two or more numbers have common factors) = 1
GCF(477,4717) x common factors =53 x 1 = 53
LCM(477,4717) = ( 477 × 4717 ) / 53
LCM(477,4717) = 2250009 / 53
LCM(477,4717) = 42453
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FAQs on GCF of Fractions of 1992/477, 7332/4717
1. What is the HCF of 1992,7332?
The HCF of 1992,7332 is 12
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 1992/477, 7332/4717?
Answer: GCF of Numerators as per given numbers 1992/477, 7332/4717 is
GCF of Numerators i.e. for 1992,7332 is 12
LCM of denominators i.e. for 477,4717 is 42453.
Thus, GCF of Fractions is 12/42453.Finally, GCF of Fractions for 1992/477, 7332/4717 is 12/42453.