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GCF of 428/73, 223/946

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 428/73, 223/946 i.e 1/69058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 428/73, 223/946.

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 428/73,223/946?

Given fractions are 428/73,223/946

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 428/73,223/946, numerators are 428,223

Denominators are 73,946

The GCF of 428,223 is 1 .

LCM of 73,946 is 69058.

The greatest common factor of 428/73,223/946 = [GCF of 428,223]/[LCM of 73,946]= 1/69058

Therefore, the GCF of 428/73,223/946 is 1/69058.

Greatest Common Factor of 428,223

To find the highest common factor of 428,223, we have to find the factors of both numbers and list the highest common factor.

The factors of 428 are 1, 2, 4, 107, 214, 428

The factors of 223 are 1, 223

The HCF of 428,223 is 1.

Lets's calculate GCF of 428,223

Greatest Common Factor (GCF) of 428,223 By Common Division

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

Greatest Common Factor of 428,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,223 By Matching Biggest Common Factor Method

Now, list down the factors of 428

:

1,2,4,107,214,428

Now, list down the factors of 223

:

1,223

Greatest Common Factor

We found the factors 428,223 . The biggest common factor number is the GCF number.
So the greatest common factor 428,223 is 1.

Lets's calculate LCM of 73,946

Lowest Common Multiple of 73,946 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 69058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69058

Therefore, the GCF of Fractions 428/73,223/946 is 1/69058

Least Common Multiple of 73,946 with GCF Formula

Least Common Multiple of 73,946 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 73,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,946) = 1

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

GCF(73,946) x common factors =1 x 1 = 1

LCM(73,946) = ( 73 × 946 ) / 1

LCM(73,946) = 69058 / 1

LCM(73,946) = 69058


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FAQs on GCF of Fractions of 428/73, 223/946

1. What is the HCF of 428,223?

The HCF of 428,223 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 428/73, 223/946?

Answer: GCF of Numerators as per given numbers 428/73, 223/946 is

GCF of Numerators i.e. for 428,223 is 1

LCM of denominators i.e. for 73,946 is 69058.

Thus, GCF of Fractions is 1/69058.Finally, GCF of Fractions for 428/73, 223/946 is 1/69058.