GCF of 5405/737, 6778/4505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5405/737, 6778/4505 i.e 1/3320185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5405/737, 6778/4505.
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 5405/737,6778/4505?
Given fractions are 5405/737,6778/4505
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 5405/737,6778/4505, numerators are 5405,6778
Denominators are 737,4505
The GCF of 5405,6778 is 1 .
LCM of 737,4505 is 3320185.
The greatest common factor of 5405/737,6778/4505 = [GCF of 5405,6778]/[LCM of 737,4505]= 1/3320185
Therefore, the GCF of 5405/737,6778/4505 is 1/3320185.
To find the highest common factor of 5405,6778, we have to find the factors of both numbers and list the highest common factor.
The factors of 5405 are 1, 5, 23, 47, 115, 235, 1081, 5405
The factors of 6778 are 1, 2, 3389, 6778
The HCF of 5405,6778 is 1.
Lets's calculate GCF of 5405,6778
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5405,6778 By Matching Biggest Common Factor Method
Now, list down the factors of 5405
:1,5,23,47,115,235,1081,5405
Now, list down the factors of 6778
:1,2,3389,6778
Greatest Common Factor
We found the factors 5405,6778 . The biggest common factor number is the GCF number.
So the greatest common factor 5405,6778 is 1.
Lets's calculate LCM of 737,4505
Given numbers has no common factors except 1. So, there LCM is their product i.e 3320185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3320185
Therefore, the GCF of Fractions 5405/737,6778/4505 is 1/3320185
Least Common Multiple of 737,4505 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 737,4505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,4505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,4505) x common factors =1 x 1 = 1
LCM(737,4505) = ( 737 × 4505 ) / 1
LCM(737,4505) = 3320185 / 1
LCM(737,4505) = 3320185
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FAQs on GCF of Fractions of 5405/737, 6778/4505
1. What is the HCF of 5405,6778?
The HCF of 5405,6778 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 5405/737, 6778/4505?
Answer: GCF of Numerators as per given numbers 5405/737, 6778/4505 is
GCF of Numerators i.e. for 5405,6778 is 1
LCM of denominators i.e. for 737,4505 is 3320185.
Thus, GCF of Fractions is 1/3320185.Finally, GCF of Fractions for 5405/737, 6778/4505 is 1/3320185.