How to Find GCF of 866/76, 433/9774?

GCF of 866/76, 433/9774

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 866/76, 433/9774 i.e 433/371412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/76, 433/9774.

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 866/76,433/9774?

Given fractions are 866/76,433/9774

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 866/76,433/9774, numerators are 866,433

Denominators are 76,9774

The GCF of 866,433 is 433 .

LCM of 76,9774 is 371412.

The greatest common factor of 866/76,433/9774 = [GCF of 866,433]/[LCM of 76,9774]= 433/371412

Therefore, the GCF of 866/76,433/9774 is 433/371412.

Greatest Common Factor of 866,433

To find the highest common factor of 866,433, we have to find the factors of both numbers and list the highest common factor.

The factors of 866 are 1, 2, 433, 866

The factors of 433 are 1, 433

The HCF of 866,433 is 433.

Lets's calculate GCF of 866,433

Greatest Common Factor (GCF) of 866,433 By Common Division

433	866, 433
	2, 1

∴ So the GCF of the given numbers is 433 = 433

Greatest Common Factor of 866,433 By Matching Biggest Common Factor Method

Now, list down the factors of 866

1,2,433,866

Now, list down the factors of 433

1,433

Greatest Common Factor

We found the factors 866,433 . The biggest common factor number is the GCF number.
So the greatest common factor 866,433 is 433.

Lets's calculate LCM of 76,9774

Lowest Common Multiple of 76,9774 using Common Division

2	76, 9774
	38, 4887

∴ So the LCM of the given numbers is 2 x 38 x 4887 = 371412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 433/371412

Therefore, the GCF of Fractions 866/76,433/9774 is 433/371412

Least Common Multiple of 76,9774 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 76,9774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,9774) = 2

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

GCF(76,9774) x common factors =2 x 1 = 2

LCM(76,9774) = ( 76 × 9774 ) / 2

LCM(76,9774) = 742824 / 2

LCM(76,9774) = 371412

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FAQs on GCF of Fractions of 866/76, 433/9774

1. What is the HCF of 866,433?

The HCF of 866,433 is 433

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 866/76, 433/9774?

Answer: GCF of Numerators as per given numbers 866/76, 433/9774 is

GCF of Numerators i.e. for 866,433 is 433

LCM of denominators i.e. for 76,9774 is 371412.

Thus, GCF of Fractions is 433/371412.Finally, GCF of Fractions for 866/76, 433/9774 is 433/371412.