GCF of 4622/867, 1436/7245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4622/867, 1436/7245 i.e 2/2093805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4622/867, 1436/7245.
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 4622/867,1436/7245?
Given fractions are 4622/867,1436/7245
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 4622/867,1436/7245, numerators are 4622,1436
Denominators are 867,7245
The GCF of 4622,1436 is 2 .
LCM of 867,7245 is 2093805.
The greatest common factor of 4622/867,1436/7245 = [GCF of 4622,1436]/[LCM of 867,7245]= 2/2093805
Therefore, the GCF of 4622/867,1436/7245 is 2/2093805.
To find the highest common factor of 4622,1436, we have to find the factors of both numbers and list the highest common factor.
The factors of 4622 are 1, 2, 2311, 4622
The factors of 1436 are 1, 2, 4, 359, 718, 1436
The HCF of 4622,1436 is 2.
Lets's calculate GCF of 4622,1436
| 2 | 4622, 1436 |
| 2311, 718 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4622,1436 By Matching Biggest Common Factor Method
Now, list down the factors of 4622
:1,2,2311,4622
Now, list down the factors of 1436
:1,2,4,359,718,1436
Greatest Common Factor
We found the factors 4622,1436 . The biggest common factor number is the GCF number.
So the greatest common factor 4622,1436 is 2.
Lets's calculate LCM of 867,7245
| 3 | 867, 7245 |
| 289, 2415 |
∴ So the LCM of the given numbers is 3 x 289 x 2415 = 2093805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2093805
Therefore, the GCF of Fractions 4622/867,1436/7245 is 2/2093805
Least Common Multiple of 867,7245 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 867,7245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,7245) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,7245) x common factors =3 x 1 = 3
LCM(867,7245) = ( 867 × 7245 ) / 3
LCM(867,7245) = 6281415 / 3
LCM(867,7245) = 2093805
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FAQs on GCF of Fractions of 4622/867, 1436/7245
1. What is the HCF of 4622,1436?
The HCF of 4622,1436 is 2
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 4622/867, 1436/7245?
Answer: GCF of Numerators as per given numbers 4622/867, 1436/7245 is
GCF of Numerators i.e. for 4622,1436 is 2
LCM of denominators i.e. for 867,7245 is 2093805.
Thus, GCF of Fractions is 2/2093805.Finally, GCF of Fractions for 4622/867, 1436/7245 is 2/2093805.