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GCF of 128/846, 229/942

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 128/846, 229/942 i.e 1/132822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 128/846, 229/942.

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 128/846,229/942?

Given fractions are 128/846,229/942

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 128/846,229/942, numerators are 128,229

Denominators are 846,942

The GCF of 128,229 is 1 .

LCM of 846,942 is 132822.

The greatest common factor of 128/846,229/942 = [GCF of 128,229]/[LCM of 846,942]= 1/132822

Therefore, the GCF of 128/846,229/942 is 1/132822.

Greatest Common Factor of 128,229

To find the highest common factor of 128,229, we have to find the factors of both numbers and list the highest common factor.

The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The factors of 229 are 1, 229

The HCF of 128,229 is 1.

Lets's calculate GCF of 128,229

Greatest Common Factor (GCF) of 128,229 By Common Division

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

Greatest Common Factor of 128,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,229 By Matching Biggest Common Factor Method

Now, list down the factors of 128

:

1,2,4,8,16,32,64,128

Now, list down the factors of 229

:

1,229

Greatest Common Factor

We found the factors 128,229 . The biggest common factor number is the GCF number.
So the greatest common factor 128,229 is 1.

Lets's calculate LCM of 846,942

Lowest Common Multiple of 846,942 using Common Division

2 846, 942
3 423, 471
141, 157

∴ So the LCM of the given numbers is 2 x 3 x 141 x 157 = 132822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132822

Therefore, the GCF of Fractions 128/846,229/942 is 1/132822

Least Common Multiple of 846,942 with GCF Formula

Least Common Multiple of 846,942 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 846,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,942) = 6

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

GCF(846,942) x common factors =6 x 1 = 6

LCM(846,942) = ( 846 × 942 ) / 6

LCM(846,942) = 796932 / 6

LCM(846,942) = 132822


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FAQs on GCF of Fractions of 128/846, 229/942

1. What is the HCF of 128,229?

The HCF of 128,229 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 128/846, 229/942?

Answer: GCF of Numerators as per given numbers 128/846, 229/942 is

GCF of Numerators i.e. for 128,229 is 1

LCM of denominators i.e. for 846,942 is 132822.

Thus, GCF of Fractions is 1/132822.Finally, GCF of Fractions for 128/846, 229/942 is 1/132822.