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GCF of 3057/924, 1657/3594

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 3057/924, 1657/3594 i.e 1/553476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3057/924, 1657/3594.

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 3057/924,1657/3594?

Given fractions are 3057/924,1657/3594

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 3057/924,1657/3594, numerators are 3057,1657

Denominators are 924,3594

The GCF of 3057,1657 is 1 .

LCM of 924,3594 is 553476.

The greatest common factor of 3057/924,1657/3594 = [GCF of 3057,1657]/[LCM of 924,3594]= 1/553476

Therefore, the GCF of 3057/924,1657/3594 is 1/553476.

Greatest Common Factor of 3057,1657

To find the highest common factor of 3057,1657, we have to find the factors of both numbers and list the highest common factor.

The factors of 3057 are 1, 3, 1019, 3057

The factors of 1657 are 1, 1657

The HCF of 3057,1657 is 1.

Lets's calculate GCF of 3057,1657

Greatest Common Factor (GCF) of 3057,1657 By Common Division

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

Greatest Common Factor of 3057,1657 By Matching Biggest Common Factor Method

Greatest Common Factor of 3057,1657 By Matching Biggest Common Factor Method

Now, list down the factors of 3057

:

1,3,1019,3057

Now, list down the factors of 1657

:

1,1657

Greatest Common Factor

We found the factors 3057,1657 . The biggest common factor number is the GCF number.
So the greatest common factor 3057,1657 is 1.


Lets's calculate LCM of 924,3594

Lowest Common Multiple of 924,3594 using Common Division

2 924, 3594
3 462, 1797
154, 599

∴ So the LCM of the given numbers is 2 x 3 x 154 x 599 = 553476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553476

Therefore, the GCF of Fractions 3057/924,1657/3594 is 1/553476

Least Common Multiple of 924,3594 with GCF Formula

Least Common Multiple of 924,3594 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 924,3594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,3594) = 6

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

GCF(924,3594) x common factors =6 x 1 = 6

LCM(924,3594) = ( 924 × 3594 ) / 6

LCM(924,3594) = 3320856 / 6

LCM(924,3594) = 553476


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3057/924, 1657/3594

1. What is the HCF of 3057,1657?

The HCF of 3057,1657 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 3057/924, 1657/3594?

Answer: GCF of Numerators as per given numbers 3057/924, 1657/3594 is

GCF of Numerators i.e. for 3057,1657 is 1

LCM of denominators i.e. for 924,3594 is 553476.

Thus, GCF of Fractions is 1/553476.Finally, GCF of Fractions for 3057/924, 1657/3594 is 1/553476.