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GCF of 745/320, 843/448

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 745/320, 843/448 i.e 1/2240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 745/320, 843/448.

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 745/320,843/448?

Given fractions are 745/320,843/448

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 745/320,843/448, numerators are 745,843

Denominators are 320,448

The GCF of 745,843 is 1 .

LCM of 320,448 is 2240.

The greatest common factor of 745/320,843/448 = [GCF of 745,843]/[LCM of 320,448]= 1/2240

Therefore, the GCF of 745/320,843/448 is 1/2240.

Greatest Common Factor of 745,843

To find the highest common factor of 745,843, we have to find the factors of both numbers and list the highest common factor.

The factors of 745 are 1, 5, 149, 745

The factors of 843 are 1, 3, 281, 843

The HCF of 745,843 is 1.

Lets's calculate GCF of 745,843

Greatest Common Factor (GCF) of 745,843 By Common Division

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

Greatest Common Factor of 745,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,843 By Matching Biggest Common Factor Method

Now, list down the factors of 745

:

1,5,149,745

Now, list down the factors of 843

:

1,3,281,843

Greatest Common Factor

We found the factors 745,843 . The biggest common factor number is the GCF number.
So the greatest common factor 745,843 is 1.

Lets's calculate LCM of 320,448

Lowest Common Multiple of 320,448 using Common Division

2 320, 448
2 160, 224
2 80, 112
2 40, 56
2 20, 28
2 10, 14
5, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 = 2240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2240

Therefore, the GCF of Fractions 745/320,843/448 is 1/2240

Least Common Multiple of 320,448 with GCF Formula

Least Common Multiple of 320,448 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 320,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,448) = 64

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

GCF(320,448) x common factors =64 x 1 = 64

LCM(320,448) = ( 320 × 448 ) / 64

LCM(320,448) = 143360 / 64

LCM(320,448) = 2240


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FAQs on GCF of Fractions of 745/320, 843/448

1. What is the HCF of 745,843?

The HCF of 745,843 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 745/320, 843/448?

Answer: GCF of Numerators as per given numbers 745/320, 843/448 is

GCF of Numerators i.e. for 745,843 is 1

LCM of denominators i.e. for 320,448 is 2240.

Thus, GCF of Fractions is 1/2240.Finally, GCF of Fractions for 745/320, 843/448 is 1/2240.