How to Find GCF of 1733/679, 7084/429?

GCF of 1733/679, 7084/429

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 1733/679, 7084/429 i.e 1/291291 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1733/679, 7084/429.

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 1733/679,7084/429?

Given fractions are 1733/679,7084/429

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 1733/679,7084/429, numerators are 1733,7084

Denominators are 679,429

The GCF of 1733,7084 is 1 .

LCM of 679,429 is 291291.

The greatest common factor of 1733/679,7084/429 = [GCF of 1733,7084]/[LCM of 679,429]= 1/291291

Therefore, the GCF of 1733/679,7084/429 is 1/291291.

Greatest Common Factor of 1733,7084

To find the highest common factor of 1733,7084, we have to find the factors of both numbers and list the highest common factor.

The factors of 1733 are 1, 1733

The factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084

The HCF of 1733,7084 is 1.

Lets's calculate GCF of 1733,7084

Greatest Common Factor (GCF) of 1733,7084 By Common Division

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

Greatest Common Factor of 1733,7084 By Matching Biggest Common Factor Method

Now, list down the factors of 1733

1,1733

Now, list down the factors of 7084

1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084

Greatest Common Factor

We found the factors 1733,7084 . The biggest common factor number is the GCF number.
So the greatest common factor 1733,7084 is 1.

Lets's calculate LCM of 679,429

Lowest Common Multiple of 679,429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 291291

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291291

Therefore, the GCF of Fractions 1733/679,7084/429 is 1/291291

Least Common Multiple of 679,429 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 679,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,429) = 1

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

GCF(679,429) x common factors =1 x 1 = 1

LCM(679,429) = ( 679 × 429 ) / 1

LCM(679,429) = 291291 / 1

LCM(679,429) = 291291

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FAQs on GCF of Fractions of 1733/679, 7084/429

1. What is the HCF of 1733,7084?

The HCF of 1733,7084 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 1733/679, 7084/429?

Answer: GCF of Numerators as per given numbers 1733/679, 7084/429 is

GCF of Numerators i.e. for 1733,7084 is 1

LCM of denominators i.e. for 679,429 is 291291.

Thus, GCF of Fractions is 1/291291.Finally, GCF of Fractions for 1733/679, 7084/429 is 1/291291.