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GCF of 153/64, 488/208

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 153/64, 488/208 i.e 1/832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 153/64, 488/208.

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 153/64,488/208?

Given fractions are 153/64,488/208

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 153/64,488/208, numerators are 153,488

Denominators are 64,208

The GCF of 153,488 is 1 .

LCM of 64,208 is 832.

The greatest common factor of 153/64,488/208 = [GCF of 153,488]/[LCM of 64,208]= 1/832

Therefore, the GCF of 153/64,488/208 is 1/832.

Greatest Common Factor of 153,488

To find the highest common factor of 153,488, we have to find the factors of both numbers and list the highest common factor.

The factors of 153 are 1, 3, 9, 17, 51, 153

The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488

The HCF of 153,488 is 1.

Lets's calculate GCF of 153,488

Greatest Common Factor (GCF) of 153,488 By Common Division

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

Greatest Common Factor of 153,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,488 By Matching Biggest Common Factor Method

Now, list down the factors of 153

:

1,3,9,17,51,153

Now, list down the factors of 488

:

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 153,488 . The biggest common factor number is the GCF number.
So the greatest common factor 153,488 is 1.

Lets's calculate LCM of 64,208

Lowest Common Multiple of 64,208 using Common Division

2 64, 208
2 32, 104
2 16, 52
2 8, 26
4, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 13 = 832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832

Therefore, the GCF of Fractions 153/64,488/208 is 1/832

Least Common Multiple of 64,208 with GCF Formula

Least Common Multiple of 64,208 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 64,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,208) = 16

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

GCF(64,208) x common factors =16 x 1 = 16

LCM(64,208) = ( 64 × 208 ) / 16

LCM(64,208) = 13312 / 16

LCM(64,208) = 832


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FAQs on GCF of Fractions of 153/64, 488/208

1. What is the HCF of 153,488?

The HCF of 153,488 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 153/64, 488/208?

Answer: GCF of Numerators as per given numbers 153/64, 488/208 is

GCF of Numerators i.e. for 153,488 is 1

LCM of denominators i.e. for 64,208 is 832.

Thus, GCF of Fractions is 1/832.Finally, GCF of Fractions for 153/64, 488/208 is 1/832.