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GCF of 1429/997, 2382/188

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 1429/997, 2382/188 i.e 1/187436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1429/997, 2382/188.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1429/997,2382/188?

Given fractions are 1429/997,2382/188

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 1429/997,2382/188, numerators are 1429,2382

Denominators are 997,188

The GCF of 1429,2382 is 1 .

LCM of 997,188 is 187436.

The greatest common factor of 1429/997,2382/188 = [GCF of 1429,2382]/[LCM of 997,188]= 1/187436

Therefore, the GCF of 1429/997,2382/188 is 1/187436.

Greatest Common Factor of 1429,2382

To find the highest common factor of 1429,2382, we have to find the factors of both numbers and list the highest common factor.

The factors of 1429 are 1, 1429

The factors of 2382 are 1, 2, 3, 6, 397, 794, 1191, 2382

The HCF of 1429,2382 is 1.

Lets's calculate GCF of 1429,2382

Greatest Common Factor (GCF) of 1429,2382 By Common Division

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

Greatest Common Factor of 1429,2382 By Matching Biggest Common Factor Method

Greatest Common Factor of 1429,2382 By Matching Biggest Common Factor Method

Now, list down the factors of 1429

:

1,1429

Now, list down the factors of 2382

:

1,2,3,6,397,794,1191,2382

Greatest Common Factor

We found the factors 1429,2382 . The biggest common factor number is the GCF number.
So the greatest common factor 1429,2382 is 1.

Lets's calculate LCM of 997,188

Lowest Common Multiple of 997,188 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 187436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187436

Therefore, the GCF of Fractions 1429/997,2382/188 is 1/187436

Least Common Multiple of 997,188 with GCF Formula

Least Common Multiple of 997,188 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 997,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,188) = 1

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

GCF(997,188) x common factors =1 x 1 = 1

LCM(997,188) = ( 997 × 188 ) / 1

LCM(997,188) = 187436 / 1

LCM(997,188) = 187436


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FAQs on GCF of Fractions of 1429/997, 2382/188

1. What is the HCF of 1429,2382?

The HCF of 1429,2382 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 1429/997, 2382/188?

Answer: GCF of Numerators as per given numbers 1429/997, 2382/188 is

GCF of Numerators i.e. for 1429,2382 is 1

LCM of denominators i.e. for 997,188 is 187436.

Thus, GCF of Fractions is 1/187436.Finally, GCF of Fractions for 1429/997, 2382/188 is 1/187436.