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GCF of 450/37, 457/969

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 450/37, 457/969 i.e 1/35853 easily. The following is the detailed procedure to determine the greatest common factor of fractions 450/37, 457/969.

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 450/37,457/969?

Given fractions are 450/37,457/969

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 450/37,457/969, numerators are 450,457

Denominators are 37,969

The GCF of 450,457 is 1 .

LCM of 37,969 is 35853.

The greatest common factor of 450/37,457/969 = [GCF of 450,457]/[LCM of 37,969]= 1/35853

Therefore, the GCF of 450/37,457/969 is 1/35853.

Greatest Common Factor of 450,457

To find the highest common factor of 450,457, we have to find the factors of both numbers and list the highest common factor.

The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

The factors of 457 are 1, 457

The HCF of 450,457 is 1.

Lets's calculate GCF of 450,457

Greatest Common Factor (GCF) of 450,457 By Common Division

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

Greatest Common Factor of 450,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,457 By Matching Biggest Common Factor Method

Now, list down the factors of 450

:

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Now, list down the factors of 457

:

1,457

Greatest Common Factor

We found the factors 450,457 . The biggest common factor number is the GCF number.
So the greatest common factor 450,457 is 1.

Lets's calculate LCM of 37,969

Lowest Common Multiple of 37,969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 35853

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35853

Therefore, the GCF of Fractions 450/37,457/969 is 1/35853

Least Common Multiple of 37,969 with GCF Formula

Least Common Multiple of 37,969 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 37,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,969) = 1

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

GCF(37,969) x common factors =1 x 1 = 1

LCM(37,969) = ( 37 × 969 ) / 1

LCM(37,969) = 35853 / 1

LCM(37,969) = 35853


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FAQs on GCF of Fractions of 450/37, 457/969

1. What is the HCF of 450,457?

The HCF of 450,457 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 450/37, 457/969?

Answer: GCF of Numerators as per given numbers 450/37, 457/969 is

GCF of Numerators i.e. for 450,457 is 1

LCM of denominators i.e. for 37,969 is 35853.

Thus, GCF of Fractions is 1/35853.Finally, GCF of Fractions for 450/37, 457/969 is 1/35853.