GCF of 54/416, 48/754, 896/696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 54/416, 48/754, 896/696 i.e 2/36192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/416, 48/754, 896/696.
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 54/416,48/754,896/696?
Given fractions are 54/416,48/754,896/696
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 54/416,48/754,896/696, numerators are 54,48,896
Denominators are 416,754,696
The GCF of 54,48,896 is 2 .
LCM of 416,754,696 is 36192.
The greatest common factor of 54/416,48/754,896/696 = [GCF of 54,48,896]/[LCM of 416,754,696]= 2/36192
Therefore, the GCF of 54/416,48/754,896/696 is 2/36192.
To find the highest common factor of 54,48,896, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The HCF of 54,48,896 is 2.
Lets's calculate GCF of 54,48,896
| 2 | 54, 48, 896 |
| 27, 24, 448 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 54,48,896 By Matching Biggest Common Factor Method
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 54,48,896 . The biggest common factor number is the GCF number.
So the greatest common factor 54,48,896 is 2.
Lets's calculate LCM of 416,754,696
| 2 | 416, 754, 696 |
| 2 | 208, 377, 348 |
| 2 | 104, 377, 174 |
| 13 | 52, 377, 87 |
| 29 | 4, 29, 87 |
| 4, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 29 x 4 x 1 x 3 = 36192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36192
Therefore, the GCF of Fractions 54/416,48/754,896/696 is 2/36192
Least Common Multiple of 416,754,696 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 416,754,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,754,696) = 2
common factors(in case of two or more numbers have common factors) = 3016
GCF(416,754,696) x common factors =2 x 3016 = 6032
LCM(416,754,696) = ( 416 × 754 × 696 ) / 6032
LCM(416,754,696) = 218310144 / 6032
LCM(416,754,696) = 36192
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FAQs on GCF of Fractions of 54/416, 48/754, 896/696
1. What is the HCF of 54,48,896?
The HCF of 54,48,896 is 2
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 54/416, 48/754, 896/696?
Answer: GCF of Numerators as per given numbers 54/416, 48/754, 896/696 is
GCF of Numerators i.e. for 54,48,896 is 2
LCM of denominators i.e. for 416,754,696 is 36192.
Thus, GCF of Fractions is 2/36192.Finally, GCF of Fractions for 54/416, 48/754, 896/696 is 2/36192.