GCF of 7980/321, 6756/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7980/321, 6756/548 i.e 12/175908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7980/321, 6756/548.
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 7980/321,6756/548?
Given fractions are 7980/321,6756/548
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 7980/321,6756/548, numerators are 7980,6756
Denominators are 321,548
The GCF of 7980,6756 is 12 .
LCM of 321,548 is 175908.
The greatest common factor of 7980/321,6756/548 = [GCF of 7980,6756]/[LCM of 321,548]= 12/175908
Therefore, the GCF of 7980/321,6756/548 is 12/175908.
To find the highest common factor of 7980,6756, we have to find the factors of both numbers and list the highest common factor.
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980
The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756
The HCF of 7980,6756 is 12.
Lets's calculate GCF of 7980,6756
| 2 | 7980, 6756 |
| 2 | 3990, 3378 |
| 3 | 1995, 1689 |
| 665, 563 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7980,6756 By Matching Biggest Common Factor Method
Now, list down the factors of 7980
:1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980
Now, list down the factors of 6756
:1,2,3,4,6,12,563,1126,1689,2252,3378,6756
Greatest Common Factor
We found the factors 7980,6756 . The biggest common factor number is the GCF number.
So the greatest common factor 7980,6756 is 12.
Lets's calculate LCM of 321,548
Given numbers has no common factors except 1. So, there LCM is their product i.e 175908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/175908
Therefore, the GCF of Fractions 7980/321,6756/548 is 12/175908
Least Common Multiple of 321,548 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 321,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,548) x common factors =1 x 1 = 1
LCM(321,548) = ( 321 × 548 ) / 1
LCM(321,548) = 175908 / 1
LCM(321,548) = 175908
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FAQs on GCF of Fractions of 7980/321, 6756/548
1. What is the HCF of 7980,6756?
The HCF of 7980,6756 is 12
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 7980/321, 6756/548?
Answer: GCF of Numerators as per given numbers 7980/321, 6756/548 is
GCF of Numerators i.e. for 7980,6756 is 12
LCM of denominators i.e. for 321,548 is 175908.
Thus, GCF of Fractions is 12/175908.Finally, GCF of Fractions for 7980/321, 6756/548 is 12/175908.