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GCF of 475/48, 661/609

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 475/48, 661/609 i.e 1/9744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 475/48, 661/609.

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 475/48,661/609?

Given fractions are 475/48,661/609

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 475/48,661/609, numerators are 475,661

Denominators are 48,609

The GCF of 475,661 is 1 .

LCM of 48,609 is 9744.

The greatest common factor of 475/48,661/609 = [GCF of 475,661]/[LCM of 48,609]= 1/9744

Therefore, the GCF of 475/48,661/609 is 1/9744.

Greatest Common Factor of 475,661

To find the highest common factor of 475,661, we have to find the factors of both numbers and list the highest common factor.

The factors of 475 are 1, 5, 19, 25, 95, 475

The factors of 661 are 1, 661

The HCF of 475,661 is 1.

Lets's calculate GCF of 475,661

Greatest Common Factor (GCF) of 475,661 By Common Division

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

Greatest Common Factor of 475,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,661 By Matching Biggest Common Factor Method

Now, list down the factors of 475

:

1,5,19,25,95,475

Now, list down the factors of 661

:

1,661

Greatest Common Factor

We found the factors 475,661 . The biggest common factor number is the GCF number.
So the greatest common factor 475,661 is 1.

Lets's calculate LCM of 48,609

Lowest Common Multiple of 48,609 using Common Division

3 48, 609
16, 203

∴ So the LCM of the given numbers is 3 x 16 x 203 = 9744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9744

Therefore, the GCF of Fractions 475/48,661/609 is 1/9744

Least Common Multiple of 48,609 with GCF Formula

Least Common Multiple of 48,609 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 48,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,609) = 3

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

GCF(48,609) x common factors =3 x 1 = 3

LCM(48,609) = ( 48 × 609 ) / 3

LCM(48,609) = 29232 / 3

LCM(48,609) = 9744


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FAQs on GCF of Fractions of 475/48, 661/609

1. What is the HCF of 475,661?

The HCF of 475,661 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 475/48, 661/609?

Answer: GCF of Numerators as per given numbers 475/48, 661/609 is

GCF of Numerators i.e. for 475,661 is 1

LCM of denominators i.e. for 48,609 is 9744.

Thus, GCF of Fractions is 1/9744.Finally, GCF of Fractions for 475/48, 661/609 is 1/9744.