How to Find GCF of 1428/997, 1201/686?

GCF of 1428/997, 1201/686

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 1428/997, 1201/686 i.e 1/683942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1428/997, 1201/686.

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 1428/997,1201/686?

Given fractions are 1428/997,1201/686

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 1428/997,1201/686, numerators are 1428,1201

Denominators are 997,686

The GCF of 1428,1201 is 1 .

LCM of 997,686 is 683942.

The greatest common factor of 1428/997,1201/686 = [GCF of 1428,1201]/[LCM of 997,686]= 1/683942

Therefore, the GCF of 1428/997,1201/686 is 1/683942.

Greatest Common Factor of 1428,1201

To find the highest common factor of 1428,1201, we have to find the factors of both numbers and list the highest common factor.

The factors of 1428 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428

The factors of 1201 are 1, 1201

The HCF of 1428,1201 is 1.

Lets's calculate GCF of 1428,1201

Greatest Common Factor (GCF) of 1428,1201 By Common Division

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

Greatest Common Factor of 1428,1201 By Matching Biggest Common Factor Method

Now, list down the factors of 1428

1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428

Now, list down the factors of 1201

1,1201

Greatest Common Factor

We found the factors 1428,1201 . The biggest common factor number is the GCF number.
So the greatest common factor 1428,1201 is 1.

Lets's calculate LCM of 997,686

Lowest Common Multiple of 997,686 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 683942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/683942

Therefore, the GCF of Fractions 1428/997,1201/686 is 1/683942

Least Common Multiple of 997,686 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 997,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,686) = 1

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

GCF(997,686) x common factors =1 x 1 = 1

LCM(997,686) = ( 997 × 686 ) / 1

LCM(997,686) = 683942 / 1

LCM(997,686) = 683942

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FAQs on GCF of Fractions of 1428/997, 1201/686

1. What is the HCF of 1428,1201?

The HCF of 1428,1201 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 1428/997, 1201/686?

Answer: GCF of Numerators as per given numbers 1428/997, 1201/686 is

GCF of Numerators i.e. for 1428,1201 is 1

LCM of denominators i.e. for 997,686 is 683942.

Thus, GCF of Fractions is 1/683942.Finally, GCF of Fractions for 1428/997, 1201/686 is 1/683942.