How to Find GCF of 1858/973, 9243/9496?

GCF of 1858/973, 9243/9496

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 1858/973, 9243/9496 i.e 1/9239608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1858/973, 9243/9496.

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 1858/973,9243/9496?

Given fractions are 1858/973,9243/9496

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 1858/973,9243/9496, numerators are 1858,9243

Denominators are 973,9496

The GCF of 1858,9243 is 1 .

LCM of 973,9496 is 9239608.

The greatest common factor of 1858/973,9243/9496 = [GCF of 1858,9243]/[LCM of 973,9496]= 1/9239608

Therefore, the GCF of 1858/973,9243/9496 is 1/9239608.

Greatest Common Factor of 1858,9243

To find the highest common factor of 1858,9243, we have to find the factors of both numbers and list the highest common factor.

The factors of 1858 are 1, 2, 929, 1858

The factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243

The HCF of 1858,9243 is 1.

Lets's calculate GCF of 1858,9243

Greatest Common Factor (GCF) of 1858,9243 By Common Division

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

Greatest Common Factor of 1858,9243 By Matching Biggest Common Factor Method

Now, list down the factors of 1858

1,2,929,1858

Now, list down the factors of 9243

1,3,9,13,39,79,117,237,711,1027,3081,9243

Greatest Common Factor

We found the factors 1858,9243 . The biggest common factor number is the GCF number.
So the greatest common factor 1858,9243 is 1.

Lets's calculate LCM of 973,9496

Lowest Common Multiple of 973,9496 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9239608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9239608

Therefore, the GCF of Fractions 1858/973,9243/9496 is 1/9239608

Least Common Multiple of 973,9496 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 973,9496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,9496) = 1

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

GCF(973,9496) x common factors =1 x 1 = 1

LCM(973,9496) = ( 973 × 9496 ) / 1

LCM(973,9496) = 9239608 / 1

LCM(973,9496) = 9239608

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1858/973, 9243/9496

1. What is the HCF of 1858,9243?

The HCF of 1858,9243 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 1858/973, 9243/9496?

Answer: GCF of Numerators as per given numbers 1858/973, 9243/9496 is

GCF of Numerators i.e. for 1858,9243 is 1

LCM of denominators i.e. for 973,9496 is 9239608.

Thus, GCF of Fractions is 1/9239608.Finally, GCF of Fractions for 1858/973, 9243/9496 is 1/9239608.