How to Find GCF of 667/6456, 407/9796?

GCF of 667/6456, 407/9796

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 667/6456, 407/9796 i.e 1/15810744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 667/6456, 407/9796.

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 667/6456,407/9796?

Given fractions are 667/6456,407/9796

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 667/6456,407/9796, numerators are 667,407

Denominators are 6456,9796

The GCF of 667,407 is 1 .

LCM of 6456,9796 is 15810744.

The greatest common factor of 667/6456,407/9796 = [GCF of 667,407]/[LCM of 6456,9796]= 1/15810744

Therefore, the GCF of 667/6456,407/9796 is 1/15810744.

Greatest Common Factor of 667,407

To find the highest common factor of 667,407, we have to find the factors of both numbers and list the highest common factor.

The factors of 667 are 1, 23, 29, 667

The factors of 407 are 1, 11, 37, 407

The HCF of 667,407 is 1.

Lets's calculate GCF of 667,407

Greatest Common Factor (GCF) of 667,407 By Common Division

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

Greatest Common Factor of 667,407 By Matching Biggest Common Factor Method

Now, list down the factors of 667

1,23,29,667

Now, list down the factors of 407

1,11,37,407

Greatest Common Factor

We found the factors 667,407 . The biggest common factor number is the GCF number.
So the greatest common factor 667,407 is 1.

Lets's calculate LCM of 6456,9796

Lowest Common Multiple of 6456,9796 using Common Division

2	6456, 9796
2	3228, 4898
	1614, 2449

∴ So the LCM of the given numbers is 2 x 2 x 1614 x 2449 = 15810744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15810744

Therefore, the GCF of Fractions 667/6456,407/9796 is 1/15810744

Least Common Multiple of 6456,9796 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 6456,9796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6456,9796) = 4

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

GCF(6456,9796) x common factors =4 x 1 = 4

LCM(6456,9796) = ( 6456 × 9796 ) / 4

LCM(6456,9796) = 63242976 / 4

LCM(6456,9796) = 15810744

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FAQs on GCF of Fractions of 667/6456, 407/9796

1. What is the HCF of 667,407?

The HCF of 667,407 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 667/6456, 407/9796?

Answer: GCF of Numerators as per given numbers 667/6456, 407/9796 is

GCF of Numerators i.e. for 667,407 is 1

LCM of denominators i.e. for 6456,9796 is 15810744.

Thus, GCF of Fractions is 1/15810744.Finally, GCF of Fractions for 667/6456, 407/9796 is 1/15810744.