GCF of 3948/282, 6732/7085
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3948/282, 6732/7085 i.e 12/1997970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3948/282, 6732/7085.
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 3948/282,6732/7085?
Given fractions are 3948/282,6732/7085
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 3948/282,6732/7085, numerators are 3948,6732
Denominators are 282,7085
The GCF of 3948,6732 is 12 .
LCM of 282,7085 is 1997970.
The greatest common factor of 3948/282,6732/7085 = [GCF of 3948,6732]/[LCM of 282,7085]= 12/1997970
Therefore, the GCF of 3948/282,6732/7085 is 12/1997970.
To find the highest common factor of 3948,6732, we have to find the factors of both numbers and list the highest common factor.
The factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948
The factors of 6732 are 1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732
The HCF of 3948,6732 is 12.
Lets's calculate GCF of 3948,6732
| 2 | 3948, 6732 |
| 2 | 1974, 3366 |
| 3 | 987, 1683 |
| 329, 561 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3948,6732 By Matching Biggest Common Factor Method
Now, list down the factors of 3948
:1,2,3,4,6,7,12,14,21,28,42,47,84,94,141,188,282,329,564,658,987,1316,1974,3948
Now, list down the factors of 6732
:1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732
Greatest Common Factor
We found the factors 3948,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 3948,6732 is 12.
Lets's calculate LCM of 282,7085
Given numbers has no common factors except 1. So, there LCM is their product i.e 1997970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1997970
Therefore, the GCF of Fractions 3948/282,6732/7085 is 12/1997970
Least Common Multiple of 282,7085 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 282,7085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,7085) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,7085) x common factors =1 x 1 = 1
LCM(282,7085) = ( 282 × 7085 ) / 1
LCM(282,7085) = 1997970 / 1
LCM(282,7085) = 1997970
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3948/282, 6732/7085
1. What is the HCF of 3948,6732?
The HCF of 3948,6732 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 3948/282, 6732/7085?
Answer: GCF of Numerators as per given numbers 3948/282, 6732/7085 is
GCF of Numerators i.e. for 3948,6732 is 12
LCM of denominators i.e. for 282,7085 is 1997970.
Thus, GCF of Fractions is 12/1997970.Finally, GCF of Fractions for 3948/282, 6732/7085 is 12/1997970.