GCF of 2440/667, 9211/9222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2440/667, 9211/9222 i.e 61/212106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2440/667, 9211/9222.
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 2440/667,9211/9222?
Given fractions are 2440/667,9211/9222
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 2440/667,9211/9222, numerators are 2440,9211
Denominators are 667,9222
The GCF of 2440,9211 is 61 .
LCM of 667,9222 is 212106.
The greatest common factor of 2440/667,9211/9222 = [GCF of 2440,9211]/[LCM of 667,9222]= 61/212106
Therefore, the GCF of 2440/667,9211/9222 is 61/212106.
To find the highest common factor of 2440,9211, we have to find the factors of both numbers and list the highest common factor.
The factors of 2440 are 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440
The factors of 9211 are 1, 61, 151, 9211
The HCF of 2440,9211 is 61.
Lets's calculate GCF of 2440,9211
| 61 | 2440, 9211 |
| 40, 151 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 2440,9211 By Matching Biggest Common Factor Method
Now, list down the factors of 2440
:1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440
Now, list down the factors of 9211
:1,61,151,9211
Greatest Common Factor
We found the factors 2440,9211 . The biggest common factor number is the GCF number.
So the greatest common factor 2440,9211 is 61.
Lets's calculate LCM of 667,9222
| 29 | 667, 9222 |
| 23, 318 |
∴ So the LCM of the given numbers is 29 x 23 x 318 = 212106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/212106
Therefore, the GCF of Fractions 2440/667,9211/9222 is 61/212106
Least Common Multiple of 667,9222 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 667,9222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,9222) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(667,9222) x common factors =29 x 1 = 29
LCM(667,9222) = ( 667 × 9222 ) / 29
LCM(667,9222) = 6151074 / 29
LCM(667,9222) = 212106
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FAQs on GCF of Fractions of 2440/667, 9211/9222
1. What is the HCF of 2440,9211?
The HCF of 2440,9211 is 61
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 2440/667, 9211/9222?
Answer: GCF of Numerators as per given numbers 2440/667, 9211/9222 is
GCF of Numerators i.e. for 2440,9211 is 61
LCM of denominators i.e. for 667,9222 is 212106.
Thus, GCF of Fractions is 61/212106.Finally, GCF of Fractions for 2440/667, 9211/9222 is 61/212106.