GCF of 3906/946, 9454/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3906/946, 9454/912 i.e 2/431376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3906/946, 9454/912.
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 3906/946,9454/912?
Given fractions are 3906/946,9454/912
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 3906/946,9454/912, numerators are 3906,9454
Denominators are 946,912
The GCF of 3906,9454 is 2 .
LCM of 946,912 is 431376.
The greatest common factor of 3906/946,9454/912 = [GCF of 3906,9454]/[LCM of 946,912]= 2/431376
Therefore, the GCF of 3906/946,9454/912 is 2/431376.
To find the highest common factor of 3906,9454, we have to find the factors of both numbers and list the highest common factor.
The factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906
The factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454
The HCF of 3906,9454 is 2.
Lets's calculate GCF of 3906,9454
| 2 | 3906, 9454 |
| 1953, 4727 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3906,9454 By Matching Biggest Common Factor Method
Now, list down the factors of 3906
:1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906
Now, list down the factors of 9454
:1,2,29,58,163,326,4727,9454
Greatest Common Factor
We found the factors 3906,9454 . The biggest common factor number is the GCF number.
So the greatest common factor 3906,9454 is 2.
Lets's calculate LCM of 946,912
| 2 | 946, 912 |
| 473, 456 |
∴ So the LCM of the given numbers is 2 x 473 x 456 = 431376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/431376
Therefore, the GCF of Fractions 3906/946,9454/912 is 2/431376
Least Common Multiple of 946,912 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 946,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,912) x common factors =2 x 1 = 2
LCM(946,912) = ( 946 × 912 ) / 2
LCM(946,912) = 862752 / 2
LCM(946,912) = 431376
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FAQs on GCF of Fractions of 3906/946, 9454/912
1. What is the HCF of 3906,9454?
The HCF of 3906,9454 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 3906/946, 9454/912?
Answer: GCF of Numerators as per given numbers 3906/946, 9454/912 is
GCF of Numerators i.e. for 3906,9454 is 2
LCM of denominators i.e. for 946,912 is 431376.
Thus, GCF of Fractions is 2/431376.Finally, GCF of Fractions for 3906/946, 9454/912 is 2/431376.