GCF of 5363/619, 7414/3455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5363/619, 7414/3455 i.e 1/2138645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5363/619, 7414/3455.
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 5363/619,7414/3455?
Given fractions are 5363/619,7414/3455
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 5363/619,7414/3455, numerators are 5363,7414
Denominators are 619,3455
The GCF of 5363,7414 is 1 .
LCM of 619,3455 is 2138645.
The greatest common factor of 5363/619,7414/3455 = [GCF of 5363,7414]/[LCM of 619,3455]= 1/2138645
Therefore, the GCF of 5363/619,7414/3455 is 1/2138645.
To find the highest common factor of 5363,7414, we have to find the factors of both numbers and list the highest common factor.
The factors of 5363 are 1, 31, 173, 5363
The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414
The HCF of 5363,7414 is 1.
Lets's calculate GCF of 5363,7414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5363,7414 By Matching Biggest Common Factor Method
Now, list down the factors of 5363
:1,31,173,5363
Now, list down the factors of 7414
:1,2,11,22,337,674,3707,7414
Greatest Common Factor
We found the factors 5363,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 5363,7414 is 1.
Lets's calculate LCM of 619,3455
Given numbers has no common factors except 1. So, there LCM is their product i.e 2138645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2138645
Therefore, the GCF of Fractions 5363/619,7414/3455 is 1/2138645
Least Common Multiple of 619,3455 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 619,3455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,3455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,3455) x common factors =1 x 1 = 1
LCM(619,3455) = ( 619 × 3455 ) / 1
LCM(619,3455) = 2138645 / 1
LCM(619,3455) = 2138645
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FAQs on GCF of Fractions of 5363/619, 7414/3455
1. What is the HCF of 5363,7414?
The HCF of 5363,7414 is 1
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 5363/619, 7414/3455?
Answer: GCF of Numerators as per given numbers 5363/619, 7414/3455 is
GCF of Numerators i.e. for 5363,7414 is 1
LCM of denominators i.e. for 619,3455 is 2138645.
Thus, GCF of Fractions is 1/2138645.Finally, GCF of Fractions for 5363/619, 7414/3455 is 1/2138645.