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GCF of 448/73, 433/8948

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 448/73, 433/8948 i.e 1/653204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/73, 433/8948.

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 448/73,433/8948?

Given fractions are 448/73,433/8948

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 448/73,433/8948, numerators are 448,433

Denominators are 73,8948

The GCF of 448,433 is 1 .

LCM of 73,8948 is 653204.

The greatest common factor of 448/73,433/8948 = [GCF of 448,433]/[LCM of 73,8948]= 1/653204

Therefore, the GCF of 448/73,433/8948 is 1/653204.

Greatest Common Factor of 448,433

To find the highest common factor of 448,433, we have to find the factors of both numbers and list the highest common factor.

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

The factors of 433 are 1, 433

The HCF of 448,433 is 1.

Lets's calculate GCF of 448,433

Greatest Common Factor (GCF) of 448,433 By Common Division

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

Greatest Common Factor of 448,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,433 By Matching Biggest Common Factor Method

Now, list down the factors of 448

:

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Now, list down the factors of 433

:

1,433

Greatest Common Factor

We found the factors 448,433 . The biggest common factor number is the GCF number.
So the greatest common factor 448,433 is 1.


Lets's calculate LCM of 73,8948

Lowest Common Multiple of 73,8948 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 653204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/653204

Therefore, the GCF of Fractions 448/73,433/8948 is 1/653204

Least Common Multiple of 73,8948 with GCF Formula

Least Common Multiple of 73,8948 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 73,8948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,8948) = 1

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

GCF(73,8948) x common factors =1 x 1 = 1

LCM(73,8948) = ( 73 × 8948 ) / 1

LCM(73,8948) = 653204 / 1

LCM(73,8948) = 653204


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 448/73, 433/8948

1. What is the HCF of 448,433?

The HCF of 448,433 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 448/73, 433/8948?

Answer: GCF of Numerators as per given numbers 448/73, 433/8948 is

GCF of Numerators i.e. for 448,433 is 1

LCM of denominators i.e. for 73,8948 is 653204.

Thus, GCF of Fractions is 1/653204.Finally, GCF of Fractions for 448/73, 433/8948 is 1/653204.