GCF of 5396/324, 1420/3158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5396/324, 1420/3158 i.e 284/511596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5396/324, 1420/3158.
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 5396/324,1420/3158?
Given fractions are 5396/324,1420/3158
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 5396/324,1420/3158, numerators are 5396,1420
Denominators are 324,3158
The GCF of 5396,1420 is 284 .
LCM of 324,3158 is 511596.
The greatest common factor of 5396/324,1420/3158 = [GCF of 5396,1420]/[LCM of 324,3158]= 284/511596
Therefore, the GCF of 5396/324,1420/3158 is 284/511596.
To find the highest common factor of 5396,1420, we have to find the factors of both numbers and list the highest common factor.
The factors of 5396 are 1, 2, 4, 19, 38, 71, 76, 142, 284, 1349, 2698, 5396
The factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
The HCF of 5396,1420 is 284.
Lets's calculate GCF of 5396,1420
| 2 | 5396, 1420 |
| 2 | 2698, 710 |
| 71 | 1349, 355 |
| 19, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 71 = 284
Greatest Common Factor of 5396,1420 By Matching Biggest Common Factor Method
Now, list down the factors of 5396
:1,2,4,19,38,71,76,142,284,1349,2698,5396
Now, list down the factors of 1420
:1,2,4,5,10,20,71,142,284,355,710,1420
Greatest Common Factor
We found the factors 5396,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 5396,1420 is 284.
Lets's calculate LCM of 324,3158
| 2 | 324, 3158 |
| 162, 1579 |
∴ So the LCM of the given numbers is 2 x 162 x 1579 = 511596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 284/511596
Therefore, the GCF of Fractions 5396/324,1420/3158 is 284/511596
Least Common Multiple of 324,3158 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 324,3158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,3158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(324,3158) x common factors =2 x 1 = 2
LCM(324,3158) = ( 324 × 3158 ) / 2
LCM(324,3158) = 1023192 / 2
LCM(324,3158) = 511596
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FAQs on GCF of Fractions of 5396/324, 1420/3158
1. What is the HCF of 5396,1420?
The HCF of 5396,1420 is 284
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 5396/324, 1420/3158?
Answer: GCF of Numerators as per given numbers 5396/324, 1420/3158 is
GCF of Numerators i.e. for 5396,1420 is 284
LCM of denominators i.e. for 324,3158 is 511596.
Thus, GCF of Fractions is 284/511596.Finally, GCF of Fractions for 5396/324, 1420/3158 is 284/511596.