How to Find GCF of 1973/346, 9657/594?

GCF of 1973/346, 9657/594

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 1973/346, 9657/594 i.e 1/102762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1973/346, 9657/594.

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 1973/346,9657/594?

Given fractions are 1973/346,9657/594

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 1973/346,9657/594, numerators are 1973,9657

Denominators are 346,594

The GCF of 1973,9657 is 1 .

LCM of 346,594 is 102762.

The greatest common factor of 1973/346,9657/594 = [GCF of 1973,9657]/[LCM of 346,594]= 1/102762

Therefore, the GCF of 1973/346,9657/594 is 1/102762.

Greatest Common Factor of 1973,9657

To find the highest common factor of 1973,9657, we have to find the factors of both numbers and list the highest common factor.

The factors of 1973 are 1, 1973

The factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657

The HCF of 1973,9657 is 1.

Lets's calculate GCF of 1973,9657

Greatest Common Factor (GCF) of 1973,9657 By Common Division

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

Greatest Common Factor of 1973,9657 By Matching Biggest Common Factor Method

Now, list down the factors of 1973

1,1973

Now, list down the factors of 9657

1,3,9,29,37,87,111,261,333,1073,3219,9657

Greatest Common Factor

We found the factors 1973,9657 . The biggest common factor number is the GCF number.
So the greatest common factor 1973,9657 is 1.

Lets's calculate LCM of 346,594

Lowest Common Multiple of 346,594 using Common Division

2	346, 594
	173, 297

∴ So the LCM of the given numbers is 2 x 173 x 297 = 102762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102762

Therefore, the GCF of Fractions 1973/346,9657/594 is 1/102762

Least Common Multiple of 346,594 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 346,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,594) = 2

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

GCF(346,594) x common factors =2 x 1 = 2

LCM(346,594) = ( 346 × 594 ) / 2

LCM(346,594) = 205524 / 2

LCM(346,594) = 102762

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FAQs on GCF of Fractions of 1973/346, 9657/594

1. What is the HCF of 1973,9657?

The HCF of 1973,9657 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 1973/346, 9657/594?

Answer: GCF of Numerators as per given numbers 1973/346, 9657/594 is

GCF of Numerators i.e. for 1973,9657 is 1

LCM of denominators i.e. for 346,594 is 102762.

Thus, GCF of Fractions is 1/102762.Finally, GCF of Fractions for 1973/346, 9657/594 is 1/102762.