GCF of 5207/189, 7358/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5207/189, 7358/101 i.e 1/19089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5207/189, 7358/101.
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 5207/189,7358/101?
Given fractions are 5207/189,7358/101
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 5207/189,7358/101, numerators are 5207,7358
Denominators are 189,101
The GCF of 5207,7358 is 1 .
LCM of 189,101 is 19089.
The greatest common factor of 5207/189,7358/101 = [GCF of 5207,7358]/[LCM of 189,101]= 1/19089
Therefore, the GCF of 5207/189,7358/101 is 1/19089.
To find the highest common factor of 5207,7358, we have to find the factors of both numbers and list the highest common factor.
The factors of 5207 are 1, 41, 127, 5207
The factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358
The HCF of 5207,7358 is 1.
Lets's calculate GCF of 5207,7358
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5207,7358 By Matching Biggest Common Factor Method
Now, list down the factors of 5207
:1,41,127,5207
Now, list down the factors of 7358
:1,2,13,26,283,566,3679,7358
Greatest Common Factor
We found the factors 5207,7358 . The biggest common factor number is the GCF number.
So the greatest common factor 5207,7358 is 1.
Lets's calculate LCM of 189,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 19089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19089
Therefore, the GCF of Fractions 5207/189,7358/101 is 1/19089
Least Common Multiple of 189,101 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 189,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,101) x common factors =1 x 1 = 1
LCM(189,101) = ( 189 × 101 ) / 1
LCM(189,101) = 19089 / 1
LCM(189,101) = 19089
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FAQs on GCF of Fractions of 5207/189, 7358/101
1. What is the HCF of 5207,7358?
The HCF of 5207,7358 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 5207/189, 7358/101?
Answer: GCF of Numerators as per given numbers 5207/189, 7358/101 is
GCF of Numerators i.e. for 5207,7358 is 1
LCM of denominators i.e. for 189,101 is 19089.
Thus, GCF of Fractions is 1/19089.Finally, GCF of Fractions for 5207/189, 7358/101 is 1/19089.