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GCF of 437/357, 667/808

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 437/357, 667/808 i.e 23/288456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/357, 667/808.

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 437/357,667/808?

Given fractions are 437/357,667/808

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 437/357,667/808, numerators are 437,667

Denominators are 357,808

The GCF of 437,667 is 23 .

LCM of 357,808 is 288456.

The greatest common factor of 437/357,667/808 = [GCF of 437,667]/[LCM of 357,808]= 23/288456

Therefore, the GCF of 437/357,667/808 is 23/288456.

Greatest Common Factor of 437,667

To find the highest common factor of 437,667, we have to find the factors of both numbers and list the highest common factor.

The factors of 437 are 1, 19, 23, 437

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

The HCF of 437,667 is 23.

Lets's calculate GCF of 437,667

Greatest Common Factor (GCF) of 437,667 By Common Division

23 437, 667
19, 29

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 437,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,667 By Matching Biggest Common Factor Method

Now, list down the factors of 437

:

1,19,23,437

Now, list down the factors of 667

:

1,23,29,667

Greatest Common Factor

We found the factors 437,667 . The biggest common factor number is the GCF number.
So the greatest common factor 437,667 is 23.

Lets's calculate LCM of 357,808

Lowest Common Multiple of 357,808 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 288456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/288456

Therefore, the GCF of Fractions 437/357,667/808 is 23/288456

Least Common Multiple of 357,808 with GCF Formula

Least Common Multiple of 357,808 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 357,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,808) = 1

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

GCF(357,808) x common factors =1 x 1 = 1

LCM(357,808) = ( 357 × 808 ) / 1

LCM(357,808) = 288456 / 1

LCM(357,808) = 288456


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FAQs on GCF of Fractions of 437/357, 667/808

1. What is the HCF of 437,667?

The HCF of 437,667 is 23

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 437/357, 667/808?

Answer: GCF of Numerators as per given numbers 437/357, 667/808 is

GCF of Numerators i.e. for 437,667 is 23

LCM of denominators i.e. for 357,808 is 288456.

Thus, GCF of Fractions is 23/288456.Finally, GCF of Fractions for 437/357, 667/808 is 23/288456.