How to Find GCF of 1833/995, 8923/4950?

GCF of 1833/995, 8923/4950

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 1833/995, 8923/4950 i.e 1/985050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1833/995, 8923/4950.

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 1833/995,8923/4950?

Given fractions are 1833/995,8923/4950

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 1833/995,8923/4950, numerators are 1833,8923

Denominators are 995,4950

The GCF of 1833,8923 is 1 .

LCM of 995,4950 is 985050.

The greatest common factor of 1833/995,8923/4950 = [GCF of 1833,8923]/[LCM of 995,4950]= 1/985050

Therefore, the GCF of 1833/995,8923/4950 is 1/985050.

Greatest Common Factor of 1833,8923

To find the highest common factor of 1833,8923, we have to find the factors of both numbers and list the highest common factor.

The factors of 1833 are 1, 3, 13, 39, 47, 141, 611, 1833

The factors of 8923 are 1, 8923

The HCF of 1833,8923 is 1.

Lets's calculate GCF of 1833,8923

Greatest Common Factor (GCF) of 1833,8923 By Common Division

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

Greatest Common Factor of 1833,8923 By Matching Biggest Common Factor Method

Now, list down the factors of 1833

1,3,13,39,47,141,611,1833

Now, list down the factors of 8923

1,8923

Greatest Common Factor

We found the factors 1833,8923 . The biggest common factor number is the GCF number.
So the greatest common factor 1833,8923 is 1.

Lets's calculate LCM of 995,4950

Lowest Common Multiple of 995,4950 using Common Division

5	995, 4950
	199, 990

∴ So the LCM of the given numbers is 5 x 199 x 990 = 985050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/985050

Therefore, the GCF of Fractions 1833/995,8923/4950 is 1/985050

Least Common Multiple of 995,4950 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 995,4950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,4950) = 5

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

GCF(995,4950) x common factors =5 x 1 = 5

LCM(995,4950) = ( 995 × 4950 ) / 5

LCM(995,4950) = 4925250 / 5

LCM(995,4950) = 985050

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FAQs on GCF of Fractions of 1833/995, 8923/4950

1. What is the HCF of 1833,8923?

The HCF of 1833,8923 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 1833/995, 8923/4950?

Answer: GCF of Numerators as per given numbers 1833/995, 8923/4950 is

GCF of Numerators i.e. for 1833,8923 is 1

LCM of denominators i.e. for 995,4950 is 985050.

Thus, GCF of Fractions is 1/985050.Finally, GCF of Fractions for 1833/995, 8923/4950 is 1/985050.