How to Find GCF of 750/743, 945/941?

GCF of 750/743, 945/941

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 750/743, 945/941 i.e 15/699163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 750/743, 945/941.

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 750/743,945/941?

Given fractions are 750/743,945/941

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 750/743,945/941, numerators are 750,945

Denominators are 743,941

The GCF of 750,945 is 15 .

LCM of 743,941 is 699163.

The greatest common factor of 750/743,945/941 = [GCF of 750,945]/[LCM of 743,941]= 15/699163

Therefore, the GCF of 750/743,945/941 is 15/699163.

Greatest Common Factor of 750,945

To find the highest common factor of 750,945, we have to find the factors of both numbers and list the highest common factor.

The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The HCF of 750,945 is 15.

Lets's calculate GCF of 750,945

Greatest Common Factor (GCF) of 750,945 By Common Division

3	750, 945
5	250, 315
	50, 63

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 750,945 By Matching Biggest Common Factor Method

Now, list down the factors of 750

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Now, list down the factors of 945

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 750,945 . The biggest common factor number is the GCF number.
So the greatest common factor 750,945 is 15.

Lets's calculate LCM of 743,941

Lowest Common Multiple of 743,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 699163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/699163

Therefore, the GCF of Fractions 750/743,945/941 is 15/699163

Least Common Multiple of 743,941 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 743,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,941) = 1

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

GCF(743,941) x common factors =1 x 1 = 1

LCM(743,941) = ( 743 × 941 ) / 1

LCM(743,941) = 699163 / 1

LCM(743,941) = 699163

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FAQs on GCF of Fractions of 750/743, 945/941

1. What is the HCF of 750,945?

The HCF of 750,945 is 15

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 750/743, 945/941?

Answer: GCF of Numerators as per given numbers 750/743, 945/941 is

GCF of Numerators i.e. for 750,945 is 15

LCM of denominators i.e. for 743,941 is 699163.

Thus, GCF of Fractions is 15/699163.Finally, GCF of Fractions for 750/743, 945/941 is 15/699163.