How to Find GCF of 1437/142, 1175/7051?

GCF of 1437/142, 1175/7051

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 1437/142, 1175/7051 i.e 1/1001242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1437/142, 1175/7051.

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 1437/142,1175/7051?

Given fractions are 1437/142,1175/7051

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 1437/142,1175/7051, numerators are 1437,1175

Denominators are 142,7051

The GCF of 1437,1175 is 1 .

LCM of 142,7051 is 1001242.

The greatest common factor of 1437/142,1175/7051 = [GCF of 1437,1175]/[LCM of 142,7051]= 1/1001242

Therefore, the GCF of 1437/142,1175/7051 is 1/1001242.

Greatest Common Factor of 1437,1175

To find the highest common factor of 1437,1175, we have to find the factors of both numbers and list the highest common factor.

The factors of 1437 are 1, 3, 479, 1437

The factors of 1175 are 1, 5, 25, 47, 235, 1175

The HCF of 1437,1175 is 1.

Lets's calculate GCF of 1437,1175

Greatest Common Factor (GCF) of 1437,1175 By Common Division

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

Greatest Common Factor of 1437,1175 By Matching Biggest Common Factor Method

Now, list down the factors of 1437

1,3,479,1437

Now, list down the factors of 1175

1,5,25,47,235,1175

Greatest Common Factor

We found the factors 1437,1175 . The biggest common factor number is the GCF number.
So the greatest common factor 1437,1175 is 1.

Lets's calculate LCM of 142,7051

Lowest Common Multiple of 142,7051 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1001242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1001242

Therefore, the GCF of Fractions 1437/142,1175/7051 is 1/1001242

Least Common Multiple of 142,7051 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 142,7051 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,7051) = 1

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

GCF(142,7051) x common factors =1 x 1 = 1

LCM(142,7051) = ( 142 × 7051 ) / 1

LCM(142,7051) = 1001242 / 1

LCM(142,7051) = 1001242

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FAQs on GCF of Fractions of 1437/142, 1175/7051

1. What is the HCF of 1437,1175?

The HCF of 1437,1175 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 1437/142, 1175/7051?

Answer: GCF of Numerators as per given numbers 1437/142, 1175/7051 is

GCF of Numerators i.e. for 1437,1175 is 1

LCM of denominators i.e. for 142,7051 is 1001242.

Thus, GCF of Fractions is 1/1001242.Finally, GCF of Fractions for 1437/142, 1175/7051 is 1/1001242.