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GCF of 945/85, 451/431

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 945/85, 451/431 i.e 1/36635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/85, 451/431.

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 945/85,451/431?

Given fractions are 945/85,451/431

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 945/85,451/431, numerators are 945,451

Denominators are 85,431

The GCF of 945,451 is 1 .

LCM of 85,431 is 36635.

The greatest common factor of 945/85,451/431 = [GCF of 945,451]/[LCM of 85,431]= 1/36635

Therefore, the GCF of 945/85,451/431 is 1/36635.

Greatest Common Factor of 945,451

To find the highest common factor of 945,451, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 451 are 1, 11, 41, 451

The HCF of 945,451 is 1.

Lets's calculate GCF of 945,451

Greatest Common Factor (GCF) of 945,451 By Common Division

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

Greatest Common Factor of 945,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,451 By Matching Biggest Common Factor Method

Now, list down the factors of 945

:

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

Now, list down the factors of 451

:

1,11,41,451

Greatest Common Factor

We found the factors 945,451 . The biggest common factor number is the GCF number.
So the greatest common factor 945,451 is 1.

Lets's calculate LCM of 85,431

Lowest Common Multiple of 85,431 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 36635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36635

Therefore, the GCF of Fractions 945/85,451/431 is 1/36635

Least Common Multiple of 85,431 with GCF Formula

Least Common Multiple of 85,431 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 85,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,431) = 1

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

GCF(85,431) x common factors =1 x 1 = 1

LCM(85,431) = ( 85 × 431 ) / 1

LCM(85,431) = 36635 / 1

LCM(85,431) = 36635


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FAQs on GCF of Fractions of 945/85, 451/431

1. What is the HCF of 945,451?

The HCF of 945,451 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 945/85, 451/431?

Answer: GCF of Numerators as per given numbers 945/85, 451/431 is

GCF of Numerators i.e. for 945,451 is 1

LCM of denominators i.e. for 85,431 is 36635.

Thus, GCF of Fractions is 1/36635.Finally, GCF of Fractions for 945/85, 451/431 is 1/36635.