How to Find GCF of 1483/171, 7295/8132?

GCF of 1483/171, 7295/8132

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 1483/171, 7295/8132 i.e 1/73188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1483/171, 7295/8132.

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 1483/171,7295/8132?

Given fractions are 1483/171,7295/8132

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 1483/171,7295/8132, numerators are 1483,7295

Denominators are 171,8132

The GCF of 1483,7295 is 1 .

LCM of 171,8132 is 73188.

The greatest common factor of 1483/171,7295/8132 = [GCF of 1483,7295]/[LCM of 171,8132]= 1/73188

Therefore, the GCF of 1483/171,7295/8132 is 1/73188.

Greatest Common Factor of 1483,7295

To find the highest common factor of 1483,7295, we have to find the factors of both numbers and list the highest common factor.

The factors of 1483 are 1, 1483

The factors of 7295 are 1, 5, 1459, 7295

The HCF of 1483,7295 is 1.

Lets's calculate GCF of 1483,7295

Greatest Common Factor (GCF) of 1483,7295 By Common Division

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

Greatest Common Factor of 1483,7295 By Matching Biggest Common Factor Method

Now, list down the factors of 1483

1,1483

Now, list down the factors of 7295

1,5,1459,7295

Greatest Common Factor

We found the factors 1483,7295 . The biggest common factor number is the GCF number.
So the greatest common factor 1483,7295 is 1.

Lets's calculate LCM of 171,8132

Lowest Common Multiple of 171,8132 using Common Division

19	171, 8132
	9, 428

∴ So the LCM of the given numbers is 19 x 9 x 428 = 73188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73188

Therefore, the GCF of Fractions 1483/171,7295/8132 is 1/73188

Least Common Multiple of 171,8132 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 171,8132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,8132) = 19

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

GCF(171,8132) x common factors =19 x 1 = 19

LCM(171,8132) = ( 171 × 8132 ) / 19

LCM(171,8132) = 1390572 / 19

LCM(171,8132) = 73188

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FAQs on GCF of Fractions of 1483/171, 7295/8132

1. What is the HCF of 1483,7295?

The HCF of 1483,7295 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 1483/171, 7295/8132?

Answer: GCF of Numerators as per given numbers 1483/171, 7295/8132 is

GCF of Numerators i.e. for 1483,7295 is 1

LCM of denominators i.e. for 171,8132 is 73188.

Thus, GCF of Fractions is 1/73188.Finally, GCF of Fractions for 1483/171, 7295/8132 is 1/73188.