GCF of 5414/298, 7434/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5414/298, 7434/135 i.e 2/40230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5414/298, 7434/135.
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 5414/298,7434/135?
Given fractions are 5414/298,7434/135
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 5414/298,7434/135, numerators are 5414,7434
Denominators are 298,135
The GCF of 5414,7434 is 2 .
LCM of 298,135 is 40230.
The greatest common factor of 5414/298,7434/135 = [GCF of 5414,7434]/[LCM of 298,135]= 2/40230
Therefore, the GCF of 5414/298,7434/135 is 2/40230.
To find the highest common factor of 5414,7434, we have to find the factors of both numbers and list the highest common factor.
The factors of 5414 are 1, 2, 2707, 5414
The factors of 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434
The HCF of 5414,7434 is 2.
Lets's calculate GCF of 5414,7434
| 2 | 5414, 7434 |
| 2707, 3717 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5414,7434 By Matching Biggest Common Factor Method
Now, list down the factors of 5414
:1,2,2707,5414
Now, list down the factors of 7434
:1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434
Greatest Common Factor
We found the factors 5414,7434 . The biggest common factor number is the GCF number.
So the greatest common factor 5414,7434 is 2.
Lets's calculate LCM of 298,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 40230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40230
Therefore, the GCF of Fractions 5414/298,7434/135 is 2/40230
Least Common Multiple of 298,135 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 298,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,135) x common factors =1 x 1 = 1
LCM(298,135) = ( 298 × 135 ) / 1
LCM(298,135) = 40230 / 1
LCM(298,135) = 40230
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FAQs on GCF of Fractions of 5414/298, 7434/135
1. What is the HCF of 5414,7434?
The HCF of 5414,7434 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 5414/298, 7434/135?
Answer: GCF of Numerators as per given numbers 5414/298, 7434/135 is
GCF of Numerators i.e. for 5414,7434 is 2
LCM of denominators i.e. for 298,135 is 40230.
Thus, GCF of Fractions is 2/40230.Finally, GCF of Fractions for 5414/298, 7434/135 is 2/40230.