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GCF of 250/45, 212/9269

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 250/45, 212/9269 i.e 2/417105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/45, 212/9269.

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 250/45,212/9269?

Given fractions are 250/45,212/9269

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 250/45,212/9269, numerators are 250,212

Denominators are 45,9269

The GCF of 250,212 is 2 .

LCM of 45,9269 is 417105.

The greatest common factor of 250/45,212/9269 = [GCF of 250,212]/[LCM of 45,9269]= 2/417105

Therefore, the GCF of 250/45,212/9269 is 2/417105.

Greatest Common Factor of 250,212

To find the highest common factor of 250,212, 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 212 are 1, 2, 4, 53, 106, 212

The HCF of 250,212 is 2.

Lets's calculate GCF of 250,212

Greatest Common Factor (GCF) of 250,212 By Common Division

2 250, 212
125, 106

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 250,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,212 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 212

:

1,2,4,53,106,212

Greatest Common Factor

We found the factors 250,212 . The biggest common factor number is the GCF number.
So the greatest common factor 250,212 is 2.

Lets's calculate LCM of 45,9269

Lowest Common Multiple of 45,9269 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 417105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/417105

Therefore, the GCF of Fractions 250/45,212/9269 is 2/417105

Least Common Multiple of 45,9269 with GCF Formula

Least Common Multiple of 45,9269 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 45,9269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,9269) = 1

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

GCF(45,9269) x common factors =1 x 1 = 1

LCM(45,9269) = ( 45 × 9269 ) / 1

LCM(45,9269) = 417105 / 1

LCM(45,9269) = 417105


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FAQs on GCF of Fractions of 250/45, 212/9269

1. What is the HCF of 250,212?

The HCF of 250,212 is 2

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 250/45, 212/9269?

Answer: GCF of Numerators as per given numbers 250/45, 212/9269 is

GCF of Numerators i.e. for 250,212 is 2

LCM of denominators i.e. for 45,9269 is 417105.

Thus, GCF of Fractions is 2/417105.Finally, GCF of Fractions for 250/45, 212/9269 is 2/417105.