GCF of 3882/956, 2950/7696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3882/956, 2950/7696 i.e 2/1839344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3882/956, 2950/7696.
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 3882/956,2950/7696?
Given fractions are 3882/956,2950/7696
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 3882/956,2950/7696, numerators are 3882,2950
Denominators are 956,7696
The GCF of 3882,2950 is 2 .
LCM of 956,7696 is 1839344.
The greatest common factor of 3882/956,2950/7696 = [GCF of 3882,2950]/[LCM of 956,7696]= 2/1839344
Therefore, the GCF of 3882/956,2950/7696 is 2/1839344.
To find the highest common factor of 3882,2950, we have to find the factors of both numbers and list the highest common factor.
The factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882
The factors of 2950 are 1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950
The HCF of 3882,2950 is 2.
Lets's calculate GCF of 3882,2950
| 2 | 3882, 2950 |
| 1941, 1475 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3882,2950 By Matching Biggest Common Factor Method
Now, list down the factors of 3882
:1,2,3,6,647,1294,1941,3882
Now, list down the factors of 2950
:1,2,5,10,25,50,59,118,295,590,1475,2950
Greatest Common Factor
We found the factors 3882,2950 . The biggest common factor number is the GCF number.
So the greatest common factor 3882,2950 is 2.
Lets's calculate LCM of 956,7696
| 2 | 956, 7696 |
| 2 | 478, 3848 |
| 239, 1924 |
∴ So the LCM of the given numbers is 2 x 2 x 239 x 1924 = 1839344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1839344
Therefore, the GCF of Fractions 3882/956,2950/7696 is 2/1839344
Least Common Multiple of 956,7696 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 956,7696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,7696) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(956,7696) x common factors =4 x 1 = 4
LCM(956,7696) = ( 956 × 7696 ) / 4
LCM(956,7696) = 7357376 / 4
LCM(956,7696) = 1839344
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FAQs on GCF of Fractions of 3882/956, 2950/7696
1. What is the HCF of 3882,2950?
The HCF of 3882,2950 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 3882/956, 2950/7696?
Answer: GCF of Numerators as per given numbers 3882/956, 2950/7696 is
GCF of Numerators i.e. for 3882,2950 is 2
LCM of denominators i.e. for 956,7696 is 1839344.
Thus, GCF of Fractions is 2/1839344.Finally, GCF of Fractions for 3882/956, 2950/7696 is 2/1839344.