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GCF of 250/605, 3673/2896

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 250/605, 3673/2896 i.e 1/1752080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/605, 3673/2896.

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 250/605,3673/2896?

Given fractions are 250/605,3673/2896

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 250/605,3673/2896, numerators are 250,3673

Denominators are 605,2896

The GCF of 250,3673 is 1 .

LCM of 605,2896 is 1752080.

The greatest common factor of 250/605,3673/2896 = [GCF of 250,3673]/[LCM of 605,2896]= 1/1752080

Therefore, the GCF of 250/605,3673/2896 is 1/1752080.

Greatest Common Factor of 250,3673

To find the highest common factor of 250,3673, we have to find the factors of both numbers and list the highest common factor.

The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250

The factors of 3673 are 1, 3673

The HCF of 250,3673 is 1.

Lets's calculate GCF of 250,3673

Greatest Common Factor (GCF) of 250,3673 By Common Division

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

Greatest Common Factor of 250,3673 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,3673 By Matching Biggest Common Factor Method

Now, list down the factors of 250

:

1,2,5,10,25,50,125,250

Now, list down the factors of 3673

:

1,3673

Greatest Common Factor

We found the factors 250,3673 . The biggest common factor number is the GCF number.
So the greatest common factor 250,3673 is 1.

Lets's calculate LCM of 605,2896

Lowest Common Multiple of 605,2896 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1752080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1752080

Therefore, the GCF of Fractions 250/605,3673/2896 is 1/1752080

Least Common Multiple of 605,2896 with GCF Formula

Least Common Multiple of 605,2896 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 605,2896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,2896) = 1

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

GCF(605,2896) x common factors =1 x 1 = 1

LCM(605,2896) = ( 605 × 2896 ) / 1

LCM(605,2896) = 1752080 / 1

LCM(605,2896) = 1752080


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FAQs on GCF of Fractions of 250/605, 3673/2896

1. What is the HCF of 250,3673?

The HCF of 250,3673 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 250/605, 3673/2896?

Answer: GCF of Numerators as per given numbers 250/605, 3673/2896 is

GCF of Numerators i.e. for 250,3673 is 1

LCM of denominators i.e. for 605,2896 is 1752080.

Thus, GCF of Fractions is 1/1752080.Finally, GCF of Fractions for 250/605, 3673/2896 is 1/1752080.