GCF of 4468/417, 7812/4271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4468/417, 7812/4271 i.e 4/1781007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4468/417, 7812/4271.
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 4468/417,7812/4271?
Given fractions are 4468/417,7812/4271
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 4468/417,7812/4271, numerators are 4468,7812
Denominators are 417,4271
The GCF of 4468,7812 is 4 .
LCM of 417,4271 is 1781007.
The greatest common factor of 4468/417,7812/4271 = [GCF of 4468,7812]/[LCM of 417,4271]= 4/1781007
Therefore, the GCF of 4468/417,7812/4271 is 4/1781007.
To find the highest common factor of 4468,7812, we have to find the factors of both numbers and list the highest common factor.
The factors of 4468 are 1, 2, 4, 1117, 2234, 4468
The factors of 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812
The HCF of 4468,7812 is 4.
Lets's calculate GCF of 4468,7812
| 2 | 4468, 7812 |
| 2 | 2234, 3906 |
| 1117, 1953 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4468,7812 By Matching Biggest Common Factor Method
Now, list down the factors of 4468
:1,2,4,1117,2234,4468
Now, list down the factors of 7812
:1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812
Greatest Common Factor
We found the factors 4468,7812 . The biggest common factor number is the GCF number.
So the greatest common factor 4468,7812 is 4.
Lets's calculate LCM of 417,4271
Given numbers has no common factors except 1. So, there LCM is their product i.e 1781007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1781007
Therefore, the GCF of Fractions 4468/417,7812/4271 is 4/1781007
Least Common Multiple of 417,4271 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 417,4271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,4271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,4271) x common factors =1 x 1 = 1
LCM(417,4271) = ( 417 × 4271 ) / 1
LCM(417,4271) = 1781007 / 1
LCM(417,4271) = 1781007
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FAQs on GCF of Fractions of 4468/417, 7812/4271
1. What is the HCF of 4468,7812?
The HCF of 4468,7812 is 4
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 4468/417, 7812/4271?
Answer: GCF of Numerators as per given numbers 4468/417, 7812/4271 is
GCF of Numerators i.e. for 4468,7812 is 4
LCM of denominators i.e. for 417,4271 is 1781007.
Thus, GCF of Fractions is 4/1781007.Finally, GCF of Fractions for 4468/417, 7812/4271 is 4/1781007.