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GCF of 2357/897, 4193/3708

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 2357/897, 4193/3708 i.e 1/1108692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2357/897, 4193/3708.

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 2357/897,4193/3708?

Given fractions are 2357/897,4193/3708

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 2357/897,4193/3708, numerators are 2357,4193

Denominators are 897,3708

The GCF of 2357,4193 is 1 .

LCM of 897,3708 is 1108692.

The greatest common factor of 2357/897,4193/3708 = [GCF of 2357,4193]/[LCM of 897,3708]= 1/1108692

Therefore, the GCF of 2357/897,4193/3708 is 1/1108692.

Greatest Common Factor of 2357,4193

To find the highest common factor of 2357,4193, we have to find the factors of both numbers and list the highest common factor.

The factors of 2357 are 1, 2357

The factors of 4193 are 1, 7, 599, 4193

The HCF of 2357,4193 is 1.

Lets's calculate GCF of 2357,4193

Greatest Common Factor (GCF) of 2357,4193 By Common Division

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

Greatest Common Factor of 2357,4193 By Matching Biggest Common Factor Method

Greatest Common Factor of 2357,4193 By Matching Biggest Common Factor Method

Now, list down the factors of 2357

:

1,2357

Now, list down the factors of 4193

:

1,7,599,4193

Greatest Common Factor

We found the factors 2357,4193 . The biggest common factor number is the GCF number.
So the greatest common factor 2357,4193 is 1.

Lets's calculate LCM of 897,3708

Lowest Common Multiple of 897,3708 using Common Division

3 897, 3708
299, 1236

∴ So the LCM of the given numbers is 3 x 299 x 1236 = 1108692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1108692

Therefore, the GCF of Fractions 2357/897,4193/3708 is 1/1108692

Least Common Multiple of 897,3708 with GCF Formula

Least Common Multiple of 897,3708 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 897,3708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,3708) = 3

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

GCF(897,3708) x common factors =3 x 1 = 3

LCM(897,3708) = ( 897 × 3708 ) / 3

LCM(897,3708) = 3326076 / 3

LCM(897,3708) = 1108692


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2357/897, 4193/3708

1. What is the HCF of 2357,4193?

The HCF of 2357,4193 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 2357/897, 4193/3708?

Answer: GCF of Numerators as per given numbers 2357/897, 4193/3708 is

GCF of Numerators i.e. for 2357,4193 is 1

LCM of denominators i.e. for 897,3708 is 1108692.

Thus, GCF of Fractions is 1/1108692.Finally, GCF of Fractions for 2357/897, 4193/3708 is 1/1108692.