GCF of 5856/30, 7452/694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5856/30, 7452/694 i.e 12/10410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5856/30, 7452/694.
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 5856/30,7452/694?
Given fractions are 5856/30,7452/694
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 5856/30,7452/694, numerators are 5856,7452
Denominators are 30,694
The GCF of 5856,7452 is 12 .
LCM of 30,694 is 10410.
The greatest common factor of 5856/30,7452/694 = [GCF of 5856,7452]/[LCM of 30,694]= 12/10410
Therefore, the GCF of 5856/30,7452/694 is 12/10410.
To find the highest common factor of 5856,7452, we have to find the factors of both numbers and list the highest common factor.
The factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856
The factors of 7452 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 81, 92, 108, 138, 162, 207, 276, 324, 414, 621, 828, 1242, 1863, 2484, 3726, 7452
The HCF of 5856,7452 is 12.
Lets's calculate GCF of 5856,7452
| 2 | 5856, 7452 |
| 2 | 2928, 3726 |
| 3 | 1464, 1863 |
| 488, 621 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5856,7452 By Matching Biggest Common Factor Method
Now, list down the factors of 5856
:1,2,3,4,6,8,12,16,24,32,48,61,96,122,183,244,366,488,732,976,1464,1952,2928,5856
Now, list down the factors of 7452
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,81,92,108,138,162,207,276,324,414,621,828,1242,1863,2484,3726,7452
Greatest Common Factor
We found the factors 5856,7452 . The biggest common factor number is the GCF number.
So the greatest common factor 5856,7452 is 12.
Lets's calculate LCM of 30,694
| 2 | 30, 694 |
| 15, 347 |
∴ So the LCM of the given numbers is 2 x 15 x 347 = 10410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/10410
Therefore, the GCF of Fractions 5856/30,7452/694 is 12/10410
Least Common Multiple of 30,694 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 30,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(30,694) x common factors =2 x 1 = 2
LCM(30,694) = ( 30 × 694 ) / 2
LCM(30,694) = 20820 / 2
LCM(30,694) = 10410
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FAQs on GCF of Fractions of 5856/30, 7452/694
1. What is the HCF of 5856,7452?
The HCF of 5856,7452 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 5856/30, 7452/694?
Answer: GCF of Numerators as per given numbers 5856/30, 7452/694 is
GCF of Numerators i.e. for 5856,7452 is 12
LCM of denominators i.e. for 30,694 is 10410.
Thus, GCF of Fractions is 12/10410.Finally, GCF of Fractions for 5856/30, 7452/694 is 12/10410.