How to Find GCF of 431/864, 2190/768?

GCF of 431/864, 2190/768

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 431/864, 2190/768 i.e 1/6912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 431/864, 2190/768.

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 431/864,2190/768?

Given fractions are 431/864,2190/768

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 431/864,2190/768, numerators are 431,2190

Denominators are 864,768

The GCF of 431,2190 is 1 .

LCM of 864,768 is 6912.

The greatest common factor of 431/864,2190/768 = [GCF of 431,2190]/[LCM of 864,768]= 1/6912

Therefore, the GCF of 431/864,2190/768 is 1/6912.

Greatest Common Factor of 431,2190

To find the highest common factor of 431,2190, we have to find the factors of both numbers and list the highest common factor.

The factors of 431 are 1, 431

The factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190

The HCF of 431,2190 is 1.

Lets's calculate GCF of 431,2190

Greatest Common Factor (GCF) of 431,2190 By Common Division

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

Greatest Common Factor of 431,2190 By Matching Biggest Common Factor Method

Now, list down the factors of 431

1,431

Now, list down the factors of 2190

1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190

Greatest Common Factor

We found the factors 431,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 431,2190 is 1.

Lets's calculate LCM of 864,768

Lowest Common Multiple of 864,768 using Common Division

2	864, 768
2	432, 384
2	216, 192
2	108, 96
2	54, 48
3	27, 24
	9, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 9 x 8 = 6912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6912

Therefore, the GCF of Fractions 431/864,2190/768 is 1/6912

Least Common Multiple of 864,768 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 864,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,768) = 96

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

GCF(864,768) x common factors =96 x 1 = 96

LCM(864,768) = ( 864 × 768 ) / 96

LCM(864,768) = 663552 / 96

LCM(864,768) = 6912

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FAQs on GCF of Fractions of 431/864, 2190/768

1. What is the HCF of 431,2190?

The HCF of 431,2190 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 431/864, 2190/768?

Answer: GCF of Numerators as per given numbers 431/864, 2190/768 is

GCF of Numerators i.e. for 431,2190 is 1

LCM of denominators i.e. for 864,768 is 6912.

Thus, GCF of Fractions is 1/6912.Finally, GCF of Fractions for 431/864, 2190/768 is 1/6912.