GCF of 96/554, 37/121, 448/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/554, 37/121, 448/916 i.e 1/30701572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/554, 37/121, 448/916.
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 96/554,37/121,448/916?
Given fractions are 96/554,37/121,448/916
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 96/554,37/121,448/916, numerators are 96,37,448
Denominators are 554,121,916
The GCF of 96,37,448 is 1 .
LCM of 554,121,916 is 30701572.
The greatest common factor of 96/554,37/121,448/916 = [GCF of 96,37,448]/[LCM of 554,121,916]= 1/30701572
Therefore, the GCF of 96/554,37/121,448/916 is 1/30701572.
To find the highest common factor of 96,37,448, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 37 are 1, 37
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The HCF of 96,37,448 is 1.
Lets's calculate GCF of 96,37,448
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 96,37,448 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 37
:1,37
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 96,37,448 . The biggest common factor number is the GCF number.
So the greatest common factor 96,37,448 is 1.
Lets's calculate LCM of 554,121,916
| 2 | 554, 121, 916 |
| 277, 121, 458 |
∴ So the LCM of the given numbers is 2 x 277 x 121 x 458 = 30701572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30701572
Therefore, the GCF of Fractions 96/554,37/121,448/916 is 1/30701572
Least Common Multiple of 554,121,916 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 554,121,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,121,916) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(554,121,916) x common factors =1 x 2 = 2
LCM(554,121,916) = ( 554 × 121 × 916 ) / 2
LCM(554,121,916) = 61403144 / 2
LCM(554,121,916) = 30701572
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FAQs on GCF of Fractions of 96/554, 37/121, 448/916
1. What is the HCF of 96,37,448?
The HCF of 96,37,448 is 1
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 96/554, 37/121, 448/916?
Answer: GCF of Numerators as per given numbers 96/554, 37/121, 448/916 is
GCF of Numerators i.e. for 96,37,448 is 1
LCM of denominators i.e. for 554,121,916 is 30701572.
Thus, GCF of Fractions is 1/30701572.Finally, GCF of Fractions for 96/554, 37/121, 448/916 is 1/30701572.