GCF of 954/728, 4208/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 954/728, 4208/416 i.e 2/2912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/728, 4208/416.
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 954/728,4208/416?
Given fractions are 954/728,4208/416
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 954/728,4208/416, numerators are 954,4208
Denominators are 728,416
The GCF of 954,4208 is 2 .
LCM of 728,416 is 2912.
The greatest common factor of 954/728,4208/416 = [GCF of 954,4208]/[LCM of 728,416]= 2/2912
Therefore, the GCF of 954/728,4208/416 is 2/2912.
To find the highest common factor of 954,4208, we have to find the factors of both numbers and list the highest common factor.
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The HCF of 954,4208 is 2.
Lets's calculate GCF of 954,4208
| 2 | 954, 4208 |
| 477, 2104 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 954,4208 By Matching Biggest Common Factor Method
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Greatest Common Factor
We found the factors 954,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 954,4208 is 2.
Lets's calculate LCM of 728,416
| 2 | 728, 416 |
| 2 | 364, 208 |
| 2 | 182, 104 |
| 13 | 91, 52 |
| 7, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 7 x 4 = 2912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2912
Therefore, the GCF of Fractions 954/728,4208/416 is 2/2912
Least Common Multiple of 728,416 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 728,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,416) = 104
common factors(in case of two or more numbers have common factors) = 1
GCF(728,416) x common factors =104 x 1 = 104
LCM(728,416) = ( 728 × 416 ) / 104
LCM(728,416) = 302848 / 104
LCM(728,416) = 2912
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FAQs on GCF of Fractions of 954/728, 4208/416
1. What is the HCF of 954,4208?
The HCF of 954,4208 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 954/728, 4208/416?
Answer: GCF of Numerators as per given numbers 954/728, 4208/416 is
GCF of Numerators i.e. for 954,4208 is 2
LCM of denominators i.e. for 728,416 is 2912.
Thus, GCF of Fractions is 2/2912.Finally, GCF of Fractions for 954/728, 4208/416 is 2/2912.