GCF of 5450/427, 3422/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5450/427, 3422/740 i.e 2/315980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5450/427, 3422/740.
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 5450/427,3422/740?
Given fractions are 5450/427,3422/740
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 5450/427,3422/740, numerators are 5450,3422
Denominators are 427,740
The GCF of 5450,3422 is 2 .
LCM of 427,740 is 315980.
The greatest common factor of 5450/427,3422/740 = [GCF of 5450,3422]/[LCM of 427,740]= 2/315980
Therefore, the GCF of 5450/427,3422/740 is 2/315980.
To find the highest common factor of 5450,3422, we have to find the factors of both numbers and list the highest common factor.
The factors of 5450 are 1, 2, 5, 10, 25, 50, 109, 218, 545, 1090, 2725, 5450
The factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422
The HCF of 5450,3422 is 2.
Lets's calculate GCF of 5450,3422
| 2 | 5450, 3422 |
| 2725, 1711 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5450,3422 By Matching Biggest Common Factor Method
Now, list down the factors of 5450
:1,2,5,10,25,50,109,218,545,1090,2725,5450
Now, list down the factors of 3422
:1,2,29,58,59,118,1711,3422
Greatest Common Factor
We found the factors 5450,3422 . The biggest common factor number is the GCF number.
So the greatest common factor 5450,3422 is 2.
Lets's calculate LCM of 427,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 315980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/315980
Therefore, the GCF of Fractions 5450/427,3422/740 is 2/315980
Least Common Multiple of 427,740 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 427,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,740) x common factors =1 x 1 = 1
LCM(427,740) = ( 427 × 740 ) / 1
LCM(427,740) = 315980 / 1
LCM(427,740) = 315980
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FAQs on GCF of Fractions of 5450/427, 3422/740
1. What is the HCF of 5450,3422?
The HCF of 5450,3422 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 5450/427, 3422/740?
Answer: GCF of Numerators as per given numbers 5450/427, 3422/740 is
GCF of Numerators i.e. for 5450,3422 is 2
LCM of denominators i.e. for 427,740 is 315980.
Thus, GCF of Fractions is 2/315980.Finally, GCF of Fractions for 5450/427, 3422/740 is 2/315980.