How to Find GCF of 1426/680, 8766/6731?

GCF of 1426/680, 8766/6731

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 1426/680, 8766/6731 i.e 2/4577080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1426/680, 8766/6731.

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 1426/680,8766/6731?

Given fractions are 1426/680,8766/6731

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 1426/680,8766/6731, numerators are 1426,8766

Denominators are 680,6731

The GCF of 1426,8766 is 2 .

LCM of 680,6731 is 4577080.

The greatest common factor of 1426/680,8766/6731 = [GCF of 1426,8766]/[LCM of 680,6731]= 2/4577080

Therefore, the GCF of 1426/680,8766/6731 is 2/4577080.

Greatest Common Factor of 1426,8766

To find the highest common factor of 1426,8766, we have to find the factors of both numbers and list the highest common factor.

The factors of 1426 are 1, 2, 23, 31, 46, 62, 713, 1426

The factors of 8766 are 1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766

The HCF of 1426,8766 is 2.

Lets's calculate GCF of 1426,8766

Greatest Common Factor (GCF) of 1426,8766 By Common Division

2	1426, 8766
	713, 4383

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1426,8766 By Matching Biggest Common Factor Method

Now, list down the factors of 1426

1,2,23,31,46,62,713,1426

Now, list down the factors of 8766

1,2,3,6,9,18,487,974,1461,2922,4383,8766

Greatest Common Factor

We found the factors 1426,8766 . The biggest common factor number is the GCF number.
So the greatest common factor 1426,8766 is 2.

Lets's calculate LCM of 680,6731

Lowest Common Multiple of 680,6731 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4577080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4577080

Therefore, the GCF of Fractions 1426/680,8766/6731 is 2/4577080

Least Common Multiple of 680,6731 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 680,6731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,6731) = 1

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

GCF(680,6731) x common factors =1 x 1 = 1

LCM(680,6731) = ( 680 × 6731 ) / 1

LCM(680,6731) = 4577080 / 1

LCM(680,6731) = 4577080

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FAQs on GCF of Fractions of 1426/680, 8766/6731

1. What is the HCF of 1426,8766?

The HCF of 1426,8766 is 2

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 1426/680, 8766/6731?

Answer: GCF of Numerators as per given numbers 1426/680, 8766/6731 is

GCF of Numerators i.e. for 1426,8766 is 2

LCM of denominators i.e. for 680,6731 is 4577080.

Thus, GCF of Fractions is 2/4577080.Finally, GCF of Fractions for 1426/680, 8766/6731 is 2/4577080.