GCF of 2996/309, 6274/5524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2996/309, 6274/5524 i.e 2/1706916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2996/309, 6274/5524.
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 2996/309,6274/5524?
Given fractions are 2996/309,6274/5524
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 2996/309,6274/5524, numerators are 2996,6274
Denominators are 309,5524
The GCF of 2996,6274 is 2 .
LCM of 309,5524 is 1706916.
The greatest common factor of 2996/309,6274/5524 = [GCF of 2996,6274]/[LCM of 309,5524]= 2/1706916
Therefore, the GCF of 2996/309,6274/5524 is 2/1706916.
To find the highest common factor of 2996,6274, we have to find the factors of both numbers and list the highest common factor.
The factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996
The factors of 6274 are 1, 2, 3137, 6274
The HCF of 2996,6274 is 2.
Lets's calculate GCF of 2996,6274
| 2 | 2996, 6274 |
| 1498, 3137 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2996,6274 By Matching Biggest Common Factor Method
Now, list down the factors of 2996
:1,2,4,7,14,28,107,214,428,749,1498,2996
Now, list down the factors of 6274
:1,2,3137,6274
Greatest Common Factor
We found the factors 2996,6274 . The biggest common factor number is the GCF number.
So the greatest common factor 2996,6274 is 2.
Lets's calculate LCM of 309,5524
Given numbers has no common factors except 1. So, there LCM is their product i.e 1706916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1706916
Therefore, the GCF of Fractions 2996/309,6274/5524 is 2/1706916
Least Common Multiple of 309,5524 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 309,5524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,5524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,5524) x common factors =1 x 1 = 1
LCM(309,5524) = ( 309 × 5524 ) / 1
LCM(309,5524) = 1706916 / 1
LCM(309,5524) = 1706916
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FAQs on GCF of Fractions of 2996/309, 6274/5524
1. What is the HCF of 2996,6274?
The HCF of 2996,6274 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 2996/309, 6274/5524?
Answer: GCF of Numerators as per given numbers 2996/309, 6274/5524 is
GCF of Numerators i.e. for 2996,6274 is 2
LCM of denominators i.e. for 309,5524 is 1706916.
Thus, GCF of Fractions is 2/1706916.Finally, GCF of Fractions for 2996/309, 6274/5524 is 2/1706916.