GCF of 2964/978, 3900/2606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2964/978, 3900/2606 i.e 156/1274334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2964/978, 3900/2606.
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 2964/978,3900/2606?
Given fractions are 2964/978,3900/2606
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 2964/978,3900/2606, numerators are 2964,3900
Denominators are 978,2606
The GCF of 2964,3900 is 156 .
LCM of 978,2606 is 1274334.
The greatest common factor of 2964/978,3900/2606 = [GCF of 2964,3900]/[LCM of 978,2606]= 156/1274334
Therefore, the GCF of 2964/978,3900/2606 is 156/1274334.
To find the highest common factor of 2964,3900, we have to find the factors of both numbers and list the highest common factor.
The factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964
The factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900
The HCF of 2964,3900 is 156.
Lets's calculate GCF of 2964,3900
| 2 | 2964, 3900 |
| 2 | 1482, 1950 |
| 3 | 741, 975 |
| 13 | 247, 325 |
| 19, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156
Greatest Common Factor of 2964,3900 By Matching Biggest Common Factor Method
Now, list down the factors of 2964
:1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964
Now, list down the factors of 3900
:1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900
Greatest Common Factor
We found the factors 2964,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 2964,3900 is 156.
Lets's calculate LCM of 978,2606
| 2 | 978, 2606 |
| 489, 1303 |
∴ So the LCM of the given numbers is 2 x 489 x 1303 = 1274334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 156/1274334
Therefore, the GCF of Fractions 2964/978,3900/2606 is 156/1274334
Least Common Multiple of 978,2606 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 978,2606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,2606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,2606) x common factors =2 x 1 = 2
LCM(978,2606) = ( 978 × 2606 ) / 2
LCM(978,2606) = 2548668 / 2
LCM(978,2606) = 1274334
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2964/978, 3900/2606
1. What is the HCF of 2964,3900?
The HCF of 2964,3900 is 156
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 2964/978, 3900/2606?
Answer: GCF of Numerators as per given numbers 2964/978, 3900/2606 is
GCF of Numerators i.e. for 2964,3900 is 156
LCM of denominators i.e. for 978,2606 is 1274334.
Thus, GCF of Fractions is 156/1274334.Finally, GCF of Fractions for 2964/978, 3900/2606 is 156/1274334.