GCF of 5646/433, 7980/9422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5646/433, 7980/9422 i.e 6/4079726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5646/433, 7980/9422.
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 5646/433,7980/9422?
Given fractions are 5646/433,7980/9422
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 5646/433,7980/9422, numerators are 5646,7980
Denominators are 433,9422
The GCF of 5646,7980 is 6 .
LCM of 433,9422 is 4079726.
The greatest common factor of 5646/433,7980/9422 = [GCF of 5646,7980]/[LCM of 433,9422]= 6/4079726
Therefore, the GCF of 5646/433,7980/9422 is 6/4079726.
To find the highest common factor of 5646,7980, we have to find the factors of both numbers and list the highest common factor.
The factors of 5646 are 1, 2, 3, 6, 941, 1882, 2823, 5646
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 HCF of 5646,7980 is 6.
Lets's calculate GCF of 5646,7980
| 2 | 5646, 7980 |
| 3 | 2823, 3990 |
| 941, 1330 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5646,7980 By Matching Biggest Common Factor Method
Now, list down the factors of 5646
:1,2,3,6,941,1882,2823,5646
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
Greatest Common Factor
We found the factors 5646,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 5646,7980 is 6.
Lets's calculate LCM of 433,9422
Given numbers has no common factors except 1. So, there LCM is their product i.e 4079726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4079726
Therefore, the GCF of Fractions 5646/433,7980/9422 is 6/4079726
Least Common Multiple of 433,9422 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 433,9422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,9422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,9422) x common factors =1 x 1 = 1
LCM(433,9422) = ( 433 × 9422 ) / 1
LCM(433,9422) = 4079726 / 1
LCM(433,9422) = 4079726
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FAQs on GCF of Fractions of 5646/433, 7980/9422
1. What is the HCF of 5646,7980?
The HCF of 5646,7980 is 6
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 5646/433, 7980/9422?
Answer: GCF of Numerators as per given numbers 5646/433, 7980/9422 is
GCF of Numerators i.e. for 5646,7980 is 6
LCM of denominators i.e. for 433,9422 is 4079726.
Thus, GCF of Fractions is 6/4079726.Finally, GCF of Fractions for 5646/433, 7980/9422 is 6/4079726.