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GCF of 48/206, 610/289

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 48/206, 610/289 i.e 2/59534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/206, 610/289.

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 48/206,610/289?

Given fractions are 48/206,610/289

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 48/206,610/289, numerators are 48,610

Denominators are 206,289

The GCF of 48,610 is 2 .

LCM of 206,289 is 59534.

The greatest common factor of 48/206,610/289 = [GCF of 48,610]/[LCM of 206,289]= 2/59534

Therefore, the GCF of 48/206,610/289 is 2/59534.

Greatest Common Factor of 48,610

To find the highest common factor of 48,610, we have to find the factors of both numbers and list the highest common factor.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The HCF of 48,610 is 2.

Lets's calculate GCF of 48,610

Greatest Common Factor (GCF) of 48,610 By Common Division

2 48, 610
24, 305

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

Greatest Common Factor of 48,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,610 By Matching Biggest Common Factor Method

Now, list down the factors of 48

:

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 610

:

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 48,610 . The biggest common factor number is the GCF number.
So the greatest common factor 48,610 is 2.

Lets's calculate LCM of 206,289

Lowest Common Multiple of 206,289 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 59534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59534

Therefore, the GCF of Fractions 48/206,610/289 is 2/59534

Least Common Multiple of 206,289 with GCF Formula

Least Common Multiple of 206,289 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 206,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,289) = 1

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

GCF(206,289) x common factors =1 x 1 = 1

LCM(206,289) = ( 206 × 289 ) / 1

LCM(206,289) = 59534 / 1

LCM(206,289) = 59534


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FAQs on GCF of Fractions of 48/206, 610/289

1. What is the HCF of 48,610?

The HCF of 48,610 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 48/206, 610/289?

Answer: GCF of Numerators as per given numbers 48/206, 610/289 is

GCF of Numerators i.e. for 48,610 is 2

LCM of denominators i.e. for 206,289 is 59534.

Thus, GCF of Fractions is 2/59534.Finally, GCF of Fractions for 48/206, 610/289 is 2/59534.