How to Find GCF of 3286/972, 8923/1406?

GCF of 3286/972, 8923/1406

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 3286/972, 8923/1406 i.e 1/683316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3286/972, 8923/1406.

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 3286/972,8923/1406?

Given fractions are 3286/972,8923/1406

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 3286/972,8923/1406, numerators are 3286,8923

Denominators are 972,1406

The GCF of 3286,8923 is 1 .

LCM of 972,1406 is 683316.

The greatest common factor of 3286/972,8923/1406 = [GCF of 3286,8923]/[LCM of 972,1406]= 1/683316

Therefore, the GCF of 3286/972,8923/1406 is 1/683316.

Greatest Common Factor of 3286,8923

To find the highest common factor of 3286,8923, we have to find the factors of both numbers and list the highest common factor.

The factors of 3286 are 1, 2, 31, 53, 62, 106, 1643, 3286

The factors of 8923 are 1, 8923

The HCF of 3286,8923 is 1.

Lets's calculate GCF of 3286,8923

Greatest Common Factor (GCF) of 3286,8923 By Common Division

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

Greatest Common Factor of 3286,8923 By Matching Biggest Common Factor Method

Now, list down the factors of 3286

1,2,31,53,62,106,1643,3286

Now, list down the factors of 8923

1,8923

Greatest Common Factor

We found the factors 3286,8923 . The biggest common factor number is the GCF number.
So the greatest common factor 3286,8923 is 1.

Lets's calculate LCM of 972,1406

Lowest Common Multiple of 972,1406 using Common Division

2	972, 1406
	486, 703

∴ So the LCM of the given numbers is 2 x 486 x 703 = 683316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/683316

Therefore, the GCF of Fractions 3286/972,8923/1406 is 1/683316

Least Common Multiple of 972,1406 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 972,1406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,1406) = 2

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

GCF(972,1406) x common factors =2 x 1 = 2

LCM(972,1406) = ( 972 × 1406 ) / 2

LCM(972,1406) = 1366632 / 2

LCM(972,1406) = 683316

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3286/972, 8923/1406

1. What is the HCF of 3286,8923?

The HCF of 3286,8923 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 3286/972, 8923/1406?

Answer: GCF of Numerators as per given numbers 3286/972, 8923/1406 is

GCF of Numerators i.e. for 3286,8923 is 1

LCM of denominators i.e. for 972,1406 is 683316.

Thus, GCF of Fractions is 1/683316.Finally, GCF of Fractions for 3286/972, 8923/1406 is 1/683316.