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GCF of 232/488, 1603/342

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 232/488, 1603/342 i.e 1/83448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 232/488, 1603/342.

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 232/488,1603/342?

Given fractions are 232/488,1603/342

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 232/488,1603/342, numerators are 232,1603

Denominators are 488,342

The GCF of 232,1603 is 1 .

LCM of 488,342 is 83448.

The greatest common factor of 232/488,1603/342 = [GCF of 232,1603]/[LCM of 488,342]= 1/83448

Therefore, the GCF of 232/488,1603/342 is 1/83448.

Greatest Common Factor of 232,1603

To find the highest common factor of 232,1603, we have to find the factors of both numbers and list the highest common factor.

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

The factors of 1603 are 1, 7, 229, 1603

The HCF of 232,1603 is 1.

Lets's calculate GCF of 232,1603

Greatest Common Factor (GCF) of 232,1603 By Common Division

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

Greatest Common Factor of 232,1603 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,1603 By Matching Biggest Common Factor Method

Now, list down the factors of 232

:

1,2,4,8,29,58,116,232

Now, list down the factors of 1603

:

1,7,229,1603

Greatest Common Factor

We found the factors 232,1603 . The biggest common factor number is the GCF number.
So the greatest common factor 232,1603 is 1.

Lets's calculate LCM of 488,342

Lowest Common Multiple of 488,342 using Common Division

2 488, 342
244, 171

∴ So the LCM of the given numbers is 2 x 244 x 171 = 83448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83448

Therefore, the GCF of Fractions 232/488,1603/342 is 1/83448

Least Common Multiple of 488,342 with GCF Formula

Least Common Multiple of 488,342 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 488,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,342) = 2

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

GCF(488,342) x common factors =2 x 1 = 2

LCM(488,342) = ( 488 × 342 ) / 2

LCM(488,342) = 166896 / 2

LCM(488,342) = 83448


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FAQs on GCF of Fractions of 232/488, 1603/342

1. What is the HCF of 232,1603?

The HCF of 232,1603 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 232/488, 1603/342?

Answer: GCF of Numerators as per given numbers 232/488, 1603/342 is

GCF of Numerators i.e. for 232,1603 is 1

LCM of denominators i.e. for 488,342 is 83448.

Thus, GCF of Fractions is 1/83448.Finally, GCF of Fractions for 232/488, 1603/342 is 1/83448.