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GCF of 669/500, 4295/1212

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 669/500, 4295/1212 i.e 1/151500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 669/500, 4295/1212.

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 669/500,4295/1212?

Given fractions are 669/500,4295/1212

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 669/500,4295/1212, numerators are 669,4295

Denominators are 500,1212

The GCF of 669,4295 is 1 .

LCM of 500,1212 is 151500.

The greatest common factor of 669/500,4295/1212 = [GCF of 669,4295]/[LCM of 500,1212]= 1/151500

Therefore, the GCF of 669/500,4295/1212 is 1/151500.

Greatest Common Factor of 669,4295

To find the highest common factor of 669,4295, we have to find the factors of both numbers and list the highest common factor.

The factors of 669 are 1, 3, 223, 669

The factors of 4295 are 1, 5, 859, 4295

The HCF of 669,4295 is 1.

Lets's calculate GCF of 669,4295

Greatest Common Factor (GCF) of 669,4295 By Common Division

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

Greatest Common Factor of 669,4295 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,4295 By Matching Biggest Common Factor Method

Now, list down the factors of 669

:

1,3,223,669

Now, list down the factors of 4295

:

1,5,859,4295

Greatest Common Factor

We found the factors 669,4295 . The biggest common factor number is the GCF number.
So the greatest common factor 669,4295 is 1.

Lets's calculate LCM of 500,1212

Lowest Common Multiple of 500,1212 using Common Division

2 500, 1212
2 250, 606
125, 303

∴ So the LCM of the given numbers is 2 x 2 x 125 x 303 = 151500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151500

Therefore, the GCF of Fractions 669/500,4295/1212 is 1/151500

Least Common Multiple of 500,1212 with GCF Formula

Least Common Multiple of 500,1212 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 500,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,1212) = 4

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

GCF(500,1212) x common factors =4 x 1 = 4

LCM(500,1212) = ( 500 × 1212 ) / 4

LCM(500,1212) = 606000 / 4

LCM(500,1212) = 151500


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 669/500, 4295/1212

1. What is the HCF of 669,4295?

The HCF of 669,4295 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 669/500, 4295/1212?

Answer: GCF of Numerators as per given numbers 669/500, 4295/1212 is

GCF of Numerators i.e. for 669,4295 is 1

LCM of denominators i.e. for 500,1212 is 151500.

Thus, GCF of Fractions is 1/151500.Finally, GCF of Fractions for 669/500, 4295/1212 is 1/151500.