GCF of 2660/892, 9429/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2660/892, 9429/208 i.e 7/46384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2660/892, 9429/208.
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 2660/892,9429/208?
Given fractions are 2660/892,9429/208
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 2660/892,9429/208, numerators are 2660,9429
Denominators are 892,208
The GCF of 2660,9429 is 7 .
LCM of 892,208 is 46384.
The greatest common factor of 2660/892,9429/208 = [GCF of 2660,9429]/[LCM of 892,208]= 7/46384
Therefore, the GCF of 2660/892,9429/208 is 7/46384.
To find the highest common factor of 2660,9429, we have to find the factors of both numbers and list the highest common factor.
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429
The HCF of 2660,9429 is 7.
Lets's calculate GCF of 2660,9429
| 7 | 2660, 9429 |
| 380, 1347 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2660,9429 By Matching Biggest Common Factor Method
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Now, list down the factors of 9429
:1,3,7,21,449,1347,3143,9429
Greatest Common Factor
We found the factors 2660,9429 . The biggest common factor number is the GCF number.
So the greatest common factor 2660,9429 is 7.
Lets's calculate LCM of 892,208
| 2 | 892, 208 |
| 2 | 446, 104 |
| 223, 52 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 52 = 46384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/46384
Therefore, the GCF of Fractions 2660/892,9429/208 is 7/46384
Least Common Multiple of 892,208 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 892,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,208) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,208) x common factors =4 x 1 = 4
LCM(892,208) = ( 892 × 208 ) / 4
LCM(892,208) = 185536 / 4
LCM(892,208) = 46384
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FAQs on GCF of Fractions of 2660/892, 9429/208
1. What is the HCF of 2660,9429?
The HCF of 2660,9429 is 7
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 2660/892, 9429/208?
Answer: GCF of Numerators as per given numbers 2660/892, 9429/208 is
GCF of Numerators i.e. for 2660,9429 is 7
LCM of denominators i.e. for 892,208 is 46384.
Thus, GCF of Fractions is 7/46384.Finally, GCF of Fractions for 2660/892, 9429/208 is 7/46384.