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GCF of 234/630, 383/845

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 234/630, 383/845 i.e 1/106470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 234/630, 383/845.

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 234/630,383/845?

Given fractions are 234/630,383/845

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 234/630,383/845, numerators are 234,383

Denominators are 630,845

The GCF of 234,383 is 1 .

LCM of 630,845 is 106470.

The greatest common factor of 234/630,383/845 = [GCF of 234,383]/[LCM of 630,845]= 1/106470

Therefore, the GCF of 234/630,383/845 is 1/106470.

Greatest Common Factor of 234,383

To find the highest common factor of 234,383, we have to find the factors of both numbers and list the highest common factor.

The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

The factors of 383 are 1, 383

The HCF of 234,383 is 1.

Lets's calculate GCF of 234,383

Greatest Common Factor (GCF) of 234,383 By Common Division

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

Greatest Common Factor of 234,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,383 By Matching Biggest Common Factor Method

Now, list down the factors of 234

:

1,2,3,6,9,13,18,26,39,78,117,234

Now, list down the factors of 383

:

1,383

Greatest Common Factor

We found the factors 234,383 . The biggest common factor number is the GCF number.
So the greatest common factor 234,383 is 1.

Lets's calculate LCM of 630,845

Lowest Common Multiple of 630,845 using Common Division

5 630, 845
126, 169

∴ So the LCM of the given numbers is 5 x 126 x 169 = 106470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106470

Therefore, the GCF of Fractions 234/630,383/845 is 1/106470

Least Common Multiple of 630,845 with GCF Formula

Least Common Multiple of 630,845 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 630,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,845) = 5

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

GCF(630,845) x common factors =5 x 1 = 5

LCM(630,845) = ( 630 × 845 ) / 5

LCM(630,845) = 532350 / 5

LCM(630,845) = 106470


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FAQs on GCF of Fractions of 234/630, 383/845

1. What is the HCF of 234,383?

The HCF of 234,383 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 234/630, 383/845?

Answer: GCF of Numerators as per given numbers 234/630, 383/845 is

GCF of Numerators i.e. for 234,383 is 1

LCM of denominators i.e. for 630,845 is 106470.

Thus, GCF of Fractions is 1/106470.Finally, GCF of Fractions for 234/630, 383/845 is 1/106470.