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GCF of 1983/265, 3823/900

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 1983/265, 3823/900 i.e 1/47700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1983/265, 3823/900.

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 1983/265,3823/900?

Given fractions are 1983/265,3823/900

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 1983/265,3823/900, numerators are 1983,3823

Denominators are 265,900

The GCF of 1983,3823 is 1 .

LCM of 265,900 is 47700.

The greatest common factor of 1983/265,3823/900 = [GCF of 1983,3823]/[LCM of 265,900]= 1/47700

Therefore, the GCF of 1983/265,3823/900 is 1/47700.

Greatest Common Factor of 1983,3823

To find the highest common factor of 1983,3823, we have to find the factors of both numbers and list the highest common factor.

The factors of 1983 are 1, 3, 661, 1983

The factors of 3823 are 1, 3823

The HCF of 1983,3823 is 1.

Lets's calculate GCF of 1983,3823

Greatest Common Factor (GCF) of 1983,3823 By Common Division

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

Greatest Common Factor of 1983,3823 By Matching Biggest Common Factor Method

Greatest Common Factor of 1983,3823 By Matching Biggest Common Factor Method

Now, list down the factors of 1983

:

1,3,661,1983

Now, list down the factors of 3823

:

1,3823

Greatest Common Factor

We found the factors 1983,3823 . The biggest common factor number is the GCF number.
So the greatest common factor 1983,3823 is 1.

Lets's calculate LCM of 265,900

Lowest Common Multiple of 265,900 using Common Division

5 265, 900
53, 180

∴ So the LCM of the given numbers is 5 x 53 x 180 = 47700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47700

Therefore, the GCF of Fractions 1983/265,3823/900 is 1/47700

Least Common Multiple of 265,900 with GCF Formula

Least Common Multiple of 265,900 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 265,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,900) = 5

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

GCF(265,900) x common factors =5 x 1 = 5

LCM(265,900) = ( 265 × 900 ) / 5

LCM(265,900) = 238500 / 5

LCM(265,900) = 47700


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FAQs on GCF of Fractions of 1983/265, 3823/900

1. What is the HCF of 1983,3823?

The HCF of 1983,3823 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 1983/265, 3823/900?

Answer: GCF of Numerators as per given numbers 1983/265, 3823/900 is

GCF of Numerators i.e. for 1983,3823 is 1

LCM of denominators i.e. for 265,900 is 47700.

Thus, GCF of Fractions is 1/47700.Finally, GCF of Fractions for 1983/265, 3823/900 is 1/47700.