GCF of 6084/961, 2996/6982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6084/961, 2996/6982 i.e 4/6709702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6084/961, 2996/6982.
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 6084/961,2996/6982?
Given fractions are 6084/961,2996/6982
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 6084/961,2996/6982, numerators are 6084,2996
Denominators are 961,6982
The GCF of 6084,2996 is 4 .
LCM of 961,6982 is 6709702.
The greatest common factor of 6084/961,2996/6982 = [GCF of 6084,2996]/[LCM of 961,6982]= 4/6709702
Therefore, the GCF of 6084/961,2996/6982 is 4/6709702.
To find the highest common factor of 6084,2996, we have to find the factors of both numbers and list the highest common factor.
The factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084
The factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996
The HCF of 6084,2996 is 4.
Lets's calculate GCF of 6084,2996
| 2 | 6084, 2996 |
| 2 | 3042, 1498 |
| 1521, 749 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6084,2996 By Matching Biggest Common Factor Method
Now, list down the factors of 6084
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084
Now, list down the factors of 2996
:1,2,4,7,14,28,107,214,428,749,1498,2996
Greatest Common Factor
We found the factors 6084,2996 . The biggest common factor number is the GCF number.
So the greatest common factor 6084,2996 is 4.
Lets's calculate LCM of 961,6982
Given numbers has no common factors except 1. So, there LCM is their product i.e 6709702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6709702
Therefore, the GCF of Fractions 6084/961,2996/6982 is 4/6709702
Least Common Multiple of 961,6982 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 961,6982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,6982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,6982) x common factors =1 x 1 = 1
LCM(961,6982) = ( 961 × 6982 ) / 1
LCM(961,6982) = 6709702 / 1
LCM(961,6982) = 6709702
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FAQs on GCF of Fractions of 6084/961, 2996/6982
1. What is the HCF of 6084,2996?
The HCF of 6084,2996 is 4
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 6084/961, 2996/6982?
Answer: GCF of Numerators as per given numbers 6084/961, 2996/6982 is
GCF of Numerators i.e. for 6084,2996 is 4
LCM of denominators i.e. for 961,6982 is 6709702.
Thus, GCF of Fractions is 4/6709702.Finally, GCF of Fractions for 6084/961, 2996/6982 is 4/6709702.