GCF of 5735/342, 7509/5375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5735/342, 7509/5375 i.e 1/1838250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5735/342, 7509/5375.
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 5735/342,7509/5375?
Given fractions are 5735/342,7509/5375
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 5735/342,7509/5375, numerators are 5735,7509
Denominators are 342,5375
The GCF of 5735,7509 is 1 .
LCM of 342,5375 is 1838250.
The greatest common factor of 5735/342,7509/5375 = [GCF of 5735,7509]/[LCM of 342,5375]= 1/1838250
Therefore, the GCF of 5735/342,7509/5375 is 1/1838250.
To find the highest common factor of 5735,7509, we have to find the factors of both numbers and list the highest common factor.
The factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735
The factors of 7509 are 1, 3, 2503, 7509
The HCF of 5735,7509 is 1.
Lets's calculate GCF of 5735,7509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5735,7509 By Matching Biggest Common Factor Method
Now, list down the factors of 5735
:1,5,31,37,155,185,1147,5735
Now, list down the factors of 7509
:1,3,2503,7509
Greatest Common Factor
We found the factors 5735,7509 . The biggest common factor number is the GCF number.
So the greatest common factor 5735,7509 is 1.
Lets's calculate LCM of 342,5375
Given numbers has no common factors except 1. So, there LCM is their product i.e 1838250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1838250
Therefore, the GCF of Fractions 5735/342,7509/5375 is 1/1838250
Least Common Multiple of 342,5375 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 342,5375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,5375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,5375) x common factors =1 x 1 = 1
LCM(342,5375) = ( 342 × 5375 ) / 1
LCM(342,5375) = 1838250 / 1
LCM(342,5375) = 1838250
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FAQs on GCF of Fractions of 5735/342, 7509/5375
1. What is the HCF of 5735,7509?
The HCF of 5735,7509 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 5735/342, 7509/5375?
Answer: GCF of Numerators as per given numbers 5735/342, 7509/5375 is
GCF of Numerators i.e. for 5735,7509 is 1
LCM of denominators i.e. for 342,5375 is 1838250.
Thus, GCF of Fractions is 1/1838250.Finally, GCF of Fractions for 5735/342, 7509/5375 is 1/1838250.