How to Find GCF of 375/320, 943/298, 887/777?

GCF of 375/320, 943/298, 887/777

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 375/320, 943/298, 887/777 i.e 1/37047360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/320, 943/298, 887/777.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 375/320,943/298,887/777?

Given fractions are 375/320,943/298,887/777

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 375/320,943/298,887/777, numerators are 375,943,887

Denominators are 320,298,777

The GCF of 375,943,887 is 1 .

LCM of 320,298,777 is 37047360.

The greatest common factor of 375/320,943/298,887/777 = [GCF of 375,943,887]/[LCM of 320,298,777]= 1/37047360

Therefore, the GCF of 375/320,943/298,887/777 is 1/37047360.

Greatest Common Factor of 375,943,887

To find the highest common factor of 375,943,887, we have to find the factors of both numbers and list the highest common factor.

The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375

The factors of 943 are 1, 23, 41, 943

The factors of 887 are 1, 887

The HCF of 375,943,887 is 1.

Lets's calculate GCF of 375,943,887

Greatest Common Factor (GCF) of 375,943,887 By Common Division

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

Greatest Common Factor of 375,943,887 By Matching Biggest Common Factor Method

Now, list down the factors of 375

1,3,5,15,25,75,125,375

Now, list down the factors of 943

1,23,41,943

Now, list down the factors of 887

1,887

Greatest Common Factor

We found the factors 375,943,887 . The biggest common factor number is the GCF number.
So the greatest common factor 375,943,887 is 1.

Lets's calculate LCM of 320,298,777

Lowest Common Multiple of 320,298,777 using Common Division

2	320, 298, 777
	160, 149, 777

∴ So the LCM of the given numbers is 2 x 160 x 149 x 777 = 37047360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37047360

Therefore, the GCF of Fractions 375/320,943/298,887/777 is 1/37047360

Least Common Multiple of 320,298,777 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 320,298,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,298,777) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(320,298,777) x common factors =1 x 2 = 2

LCM(320,298,777) = ( 320 × 298 × 777 ) / 2

LCM(320,298,777) = 74094720 / 2

LCM(320,298,777) = 37047360

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 375/320, 943/298, 887/777

1. What is the HCF of 375,943,887?

The HCF of 375,943,887 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 375/320, 943/298, 887/777?

Answer: GCF of Numerators as per given numbers 375/320, 943/298, 887/777 is

GCF of Numerators i.e. for 375,943,887 is 1

LCM of denominators i.e. for 320,298,777 is 37047360.

Thus, GCF of Fractions is 1/37047360.Finally, GCF of Fractions for 375/320, 943/298, 887/777 is 1/37047360.