How to Find GCF of 2375/190, 1414/1497?

GCF of 2375/190, 1414/1497

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 2375/190, 1414/1497 i.e 1/284430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2375/190, 1414/1497.

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 2375/190,1414/1497?

Given fractions are 2375/190,1414/1497

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 2375/190,1414/1497, numerators are 2375,1414

Denominators are 190,1497

The GCF of 2375,1414 is 1 .

LCM of 190,1497 is 284430.

The greatest common factor of 2375/190,1414/1497 = [GCF of 2375,1414]/[LCM of 190,1497]= 1/284430

Therefore, the GCF of 2375/190,1414/1497 is 1/284430.

Greatest Common Factor of 2375,1414

To find the highest common factor of 2375,1414, we have to find the factors of both numbers and list the highest common factor.

The factors of 2375 are 1, 5, 19, 25, 95, 125, 475, 2375

The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414

The HCF of 2375,1414 is 1.

Lets's calculate GCF of 2375,1414

Greatest Common Factor (GCF) of 2375,1414 By Common Division

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

Greatest Common Factor of 2375,1414 By Matching Biggest Common Factor Method

Now, list down the factors of 2375

1,5,19,25,95,125,475,2375

Now, list down the factors of 1414

1,2,7,14,101,202,707,1414

Greatest Common Factor

We found the factors 2375,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 2375,1414 is 1.

Lets's calculate LCM of 190,1497

Lowest Common Multiple of 190,1497 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 284430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284430

Therefore, the GCF of Fractions 2375/190,1414/1497 is 1/284430

Least Common Multiple of 190,1497 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 190,1497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,1497) = 1

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

GCF(190,1497) x common factors =1 x 1 = 1

LCM(190,1497) = ( 190 × 1497 ) / 1

LCM(190,1497) = 284430 / 1

LCM(190,1497) = 284430

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FAQs on GCF of Fractions of 2375/190, 1414/1497

1. What is the HCF of 2375,1414?

The HCF of 2375,1414 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 2375/190, 1414/1497?

Answer: GCF of Numerators as per given numbers 2375/190, 1414/1497 is

GCF of Numerators i.e. for 2375,1414 is 1

LCM of denominators i.e. for 190,1497 is 284430.

Thus, GCF of Fractions is 1/284430.Finally, GCF of Fractions for 2375/190, 1414/1497 is 1/284430.