GCF of 7224/417, 6422/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7224/417, 6422/643 i.e 2/268131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7224/417, 6422/643.
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 7224/417,6422/643?
Given fractions are 7224/417,6422/643
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 7224/417,6422/643, numerators are 7224,6422
Denominators are 417,643
The GCF of 7224,6422 is 2 .
LCM of 417,643 is 268131.
The greatest common factor of 7224/417,6422/643 = [GCF of 7224,6422]/[LCM of 417,643]= 2/268131
Therefore, the GCF of 7224/417,6422/643 is 2/268131.
To find the highest common factor of 7224,6422, we have to find the factors of both numbers and list the highest common factor.
The factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224
The factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422
The HCF of 7224,6422 is 2.
Lets's calculate GCF of 7224,6422
| 2 | 7224, 6422 |
| 3612, 3211 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7224,6422 By Matching Biggest Common Factor Method
Now, list down the factors of 7224
:1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224
Now, list down the factors of 6422
:1,2,13,19,26,38,169,247,338,494,3211,6422
Greatest Common Factor
We found the factors 7224,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 7224,6422 is 2.
Lets's calculate LCM of 417,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 268131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/268131
Therefore, the GCF of Fractions 7224/417,6422/643 is 2/268131
Least Common Multiple of 417,643 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 417,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,643) x common factors =1 x 1 = 1
LCM(417,643) = ( 417 × 643 ) / 1
LCM(417,643) = 268131 / 1
LCM(417,643) = 268131
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FAQs on GCF of Fractions of 7224/417, 6422/643
1. What is the HCF of 7224,6422?
The HCF of 7224,6422 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 7224/417, 6422/643?
Answer: GCF of Numerators as per given numbers 7224/417, 6422/643 is
GCF of Numerators i.e. for 7224,6422 is 2
LCM of denominators i.e. for 417,643 is 268131.
Thus, GCF of Fractions is 2/268131.Finally, GCF of Fractions for 7224/417, 6422/643 is 2/268131.