GCF of 5426/428, 3216/3142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5426/428, 3216/3142 i.e 2/672388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5426/428, 3216/3142.
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 5426/428,3216/3142?
Given fractions are 5426/428,3216/3142
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 5426/428,3216/3142, numerators are 5426,3216
Denominators are 428,3142
The GCF of 5426,3216 is 2 .
LCM of 428,3142 is 672388.
The greatest common factor of 5426/428,3216/3142 = [GCF of 5426,3216]/[LCM of 428,3142]= 2/672388
Therefore, the GCF of 5426/428,3216/3142 is 2/672388.
To find the highest common factor of 5426,3216, we have to find the factors of both numbers and list the highest common factor.
The factors of 5426 are 1, 2, 2713, 5426
The factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216
The HCF of 5426,3216 is 2.
Lets's calculate GCF of 5426,3216
| 2 | 5426, 3216 |
| 2713, 1608 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5426,3216 By Matching Biggest Common Factor Method
Now, list down the factors of 5426
:1,2,2713,5426
Now, list down the factors of 3216
:1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216
Greatest Common Factor
We found the factors 5426,3216 . The biggest common factor number is the GCF number.
So the greatest common factor 5426,3216 is 2.
Lets's calculate LCM of 428,3142
| 2 | 428, 3142 |
| 214, 1571 |
∴ So the LCM of the given numbers is 2 x 214 x 1571 = 672388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/672388
Therefore, the GCF of Fractions 5426/428,3216/3142 is 2/672388
Least Common Multiple of 428,3142 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 428,3142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,3142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,3142) x common factors =2 x 1 = 2
LCM(428,3142) = ( 428 × 3142 ) / 2
LCM(428,3142) = 1344776 / 2
LCM(428,3142) = 672388
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FAQs on GCF of Fractions of 5426/428, 3216/3142
1. What is the HCF of 5426,3216?
The HCF of 5426,3216 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 5426/428, 3216/3142?
Answer: GCF of Numerators as per given numbers 5426/428, 3216/3142 is
GCF of Numerators i.e. for 5426,3216 is 2
LCM of denominators i.e. for 428,3142 is 672388.
Thus, GCF of Fractions is 2/672388.Finally, GCF of Fractions for 5426/428, 3216/3142 is 2/672388.