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GCF of 670/40, 406/464

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 670/40, 406/464 i.e 2/2320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 670/40, 406/464.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 670/40,406/464?

Given fractions are 670/40,406/464

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 670/40,406/464, numerators are 670,406

Denominators are 40,464

The GCF of 670,406 is 2 .

LCM of 40,464 is 2320.

The greatest common factor of 670/40,406/464 = [GCF of 670,406]/[LCM of 40,464]= 2/2320

Therefore, the GCF of 670/40,406/464 is 2/2320.

Greatest Common Factor of 670,406

To find the highest common factor of 670,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 670,406 is 2.

Lets's calculate GCF of 670,406

Greatest Common Factor (GCF) of 670,406 By Common Division

2 670, 406
335, 203

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

Greatest Common Factor of 670,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,406 By Matching Biggest Common Factor Method

Now, list down the factors of 670

:

1,2,5,10,67,134,335,670

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 670,406 . The biggest common factor number is the GCF number.
So the greatest common factor 670,406 is 2.

Lets's calculate LCM of 40,464

Lowest Common Multiple of 40,464 using Common Division

2 40, 464
2 20, 232
2 10, 116
5, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 58 = 2320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2320

Therefore, the GCF of Fractions 670/40,406/464 is 2/2320

Least Common Multiple of 40,464 with GCF Formula

Least Common Multiple of 40,464 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 40,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,464) = 8

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

GCF(40,464) x common factors =8 x 1 = 8

LCM(40,464) = ( 40 × 464 ) / 8

LCM(40,464) = 18560 / 8

LCM(40,464) = 2320


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FAQs on GCF of Fractions of 670/40, 406/464

1. What is the HCF of 670,406?

The HCF of 670,406 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 670/40, 406/464?

Answer: GCF of Numerators as per given numbers 670/40, 406/464 is

GCF of Numerators i.e. for 670,406 is 2

LCM of denominators i.e. for 40,464 is 2320.

Thus, GCF of Fractions is 2/2320.Finally, GCF of Fractions for 670/40, 406/464 is 2/2320.