GCF of 954/272, 312/354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 954/272, 312/354 i.e 6/48144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/272, 312/354.
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 954/272,312/354?
Given fractions are 954/272,312/354
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 954/272,312/354, numerators are 954,312
Denominators are 272,354
The GCF of 954,312 is 6 .
LCM of 272,354 is 48144.
The greatest common factor of 954/272,312/354 = [GCF of 954,312]/[LCM of 272,354]= 6/48144
Therefore, the GCF of 954/272,312/354 is 6/48144.
To find the highest common factor of 954,312, 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 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 954,312 is 6.
Lets's calculate GCF of 954,312
| 2 | 954, 312 |
| 3 | 477, 156 |
| 159, 52 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 954,312 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 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 954,312 . The biggest common factor number is the GCF number.
So the greatest common factor 954,312 is 6.
Lets's calculate LCM of 272,354
| 2 | 272, 354 |
| 136, 177 |
∴ So the LCM of the given numbers is 2 x 136 x 177 = 48144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/48144
Therefore, the GCF of Fractions 954/272,312/354 is 6/48144
Least Common Multiple of 272,354 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 272,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,354) x common factors =2 x 1 = 2
LCM(272,354) = ( 272 × 354 ) / 2
LCM(272,354) = 96288 / 2
LCM(272,354) = 48144
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FAQs on GCF of Fractions of 954/272, 312/354
1. What is the HCF of 954,312?
The HCF of 954,312 is 6
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 954/272, 312/354?
Answer: GCF of Numerators as per given numbers 954/272, 312/354 is
GCF of Numerators i.e. for 954,312 is 6
LCM of denominators i.e. for 272,354 is 48144.
Thus, GCF of Fractions is 6/48144.Finally, GCF of Fractions for 954/272, 312/354 is 6/48144.