How to Find GCF of 5492/575, 7255/189?

GCF of 5492/575, 7255/189

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5492/575, 7255/189 i.e 1/108675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5492/575, 7255/189.

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 5492/575,7255/189?

Given fractions are 5492/575,7255/189

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 5492/575,7255/189, numerators are 5492,7255

Denominators are 575,189

The GCF of 5492,7255 is 1 .

LCM of 575,189 is 108675.

The greatest common factor of 5492/575,7255/189 = [GCF of 5492,7255]/[LCM of 575,189]= 1/108675

Therefore, the GCF of 5492/575,7255/189 is 1/108675.

Greatest Common Factor of 5492,7255

To find the highest common factor of 5492,7255, we have to find the factors of both numbers and list the highest common factor.

The factors of 5492 are 1, 2, 4, 1373, 2746, 5492

The factors of 7255 are 1, 5, 1451, 7255

The HCF of 5492,7255 is 1.

Lets's calculate GCF of 5492,7255

Greatest Common Factor (GCF) of 5492,7255 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5492,7255 By Matching Biggest Common Factor Method

Now, list down the factors of 5492

1,2,4,1373,2746,5492

Now, list down the factors of 7255

1,5,1451,7255

Greatest Common Factor

We found the factors 5492,7255 . The biggest common factor number is the GCF number.
So the greatest common factor 5492,7255 is 1.

Lets's calculate LCM of 575,189

Lowest Common Multiple of 575,189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 108675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108675

Therefore, the GCF of Fractions 5492/575,7255/189 is 1/108675

Least Common Multiple of 575,189 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 575,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,189) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(575,189) x common factors =1 x 1 = 1

LCM(575,189) = ( 575 × 189 ) / 1

LCM(575,189) = 108675 / 1

LCM(575,189) = 108675

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FAQs on GCF of Fractions of 5492/575, 7255/189

1. What is the HCF of 5492,7255?

The HCF of 5492,7255 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 5492/575, 7255/189?

Answer: GCF of Numerators as per given numbers 5492/575, 7255/189 is

GCF of Numerators i.e. for 5492,7255 is 1

LCM of denominators i.e. for 575,189 is 108675.

Thus, GCF of Fractions is 1/108675.Finally, GCF of Fractions for 5492/575, 7255/189 is 1/108675.