GCF of 468/78, 436/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 468/78, 436/418 i.e 4/16302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 468/78, 436/418.
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 468/78,436/418?
Given fractions are 468/78,436/418
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 468/78,436/418, numerators are 468,436
Denominators are 78,418
The GCF of 468,436 is 4 .
LCM of 78,418 is 16302.
The greatest common factor of 468/78,436/418 = [GCF of 468,436]/[LCM of 78,418]= 4/16302
Therefore, the GCF of 468/78,436/418 is 4/16302.
To find the highest common factor of 468,436, we have to find the factors of both numbers and list the highest common factor.
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The factors of 436 are 1, 2, 4, 109, 218, 436
The HCF of 468,436 is 4.
Lets's calculate GCF of 468,436
| 2 | 468, 436 |
| 2 | 234, 218 |
| 117, 109 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 468,436 By Matching Biggest Common Factor Method
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Now, list down the factors of 436
:1,2,4,109,218,436
Greatest Common Factor
We found the factors 468,436 . The biggest common factor number is the GCF number.
So the greatest common factor 468,436 is 4.
Lets's calculate LCM of 78,418
| 2 | 78, 418 |
| 39, 209 |
∴ So the LCM of the given numbers is 2 x 39 x 209 = 16302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/16302
Therefore, the GCF of Fractions 468/78,436/418 is 4/16302
Least Common Multiple of 78,418 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 78,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,418) x common factors =2 x 1 = 2
LCM(78,418) = ( 78 × 418 ) / 2
LCM(78,418) = 32604 / 2
LCM(78,418) = 16302
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FAQs on GCF of Fractions of 468/78, 436/418
1. What is the HCF of 468,436?
The HCF of 468,436 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 468/78, 436/418?
Answer: GCF of Numerators as per given numbers 468/78, 436/418 is
GCF of Numerators i.e. for 468,436 is 4
LCM of denominators i.e. for 78,418 is 16302.
Thus, GCF of Fractions is 4/16302.Finally, GCF of Fractions for 468/78, 436/418 is 4/16302.