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GCF of 433/45, 176/678

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 433/45, 176/678 i.e 1/10170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/45, 176/678.

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 433/45,176/678?

Given fractions are 433/45,176/678

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 433/45,176/678, numerators are 433,176

Denominators are 45,678

The GCF of 433,176 is 1 .

LCM of 45,678 is 10170.

The greatest common factor of 433/45,176/678 = [GCF of 433,176]/[LCM of 45,678]= 1/10170

Therefore, the GCF of 433/45,176/678 is 1/10170.

Greatest Common Factor of 433,176

To find the highest common factor of 433,176, we have to find the factors of both numbers and list the highest common factor.

The factors of 433 are 1, 433

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

The HCF of 433,176 is 1.

Lets's calculate GCF of 433,176

Greatest Common Factor (GCF) of 433,176 By Common Division

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

Greatest Common Factor of 433,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,176 By Matching Biggest Common Factor Method

Now, list down the factors of 433

:

1,433

Now, list down the factors of 176

:

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 433,176 . The biggest common factor number is the GCF number.
So the greatest common factor 433,176 is 1.

Lets's calculate LCM of 45,678

Lowest Common Multiple of 45,678 using Common Division

3 45, 678
15, 226

∴ So the LCM of the given numbers is 3 x 15 x 226 = 10170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10170

Therefore, the GCF of Fractions 433/45,176/678 is 1/10170

Least Common Multiple of 45,678 with GCF Formula

Least Common Multiple of 45,678 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 45,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,678) = 3

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

GCF(45,678) x common factors =3 x 1 = 3

LCM(45,678) = ( 45 × 678 ) / 3

LCM(45,678) = 30510 / 3

LCM(45,678) = 10170


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FAQs on GCF of Fractions of 433/45, 176/678

1. What is the HCF of 433,176?

The HCF of 433,176 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 433/45, 176/678?

Answer: GCF of Numerators as per given numbers 433/45, 176/678 is

GCF of Numerators i.e. for 433,176 is 1

LCM of denominators i.e. for 45,678 is 10170.

Thus, GCF of Fractions is 1/10170.Finally, GCF of Fractions for 433/45, 176/678 is 1/10170.