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GCF of 103/992, 192/606

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 103/992, 192/606 i.e 1/300576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/992, 192/606.

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 103/992,192/606?

Given fractions are 103/992,192/606

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 103/992,192/606, numerators are 103,192

Denominators are 992,606

The GCF of 103,192 is 1 .

LCM of 992,606 is 300576.

The greatest common factor of 103/992,192/606 = [GCF of 103,192]/[LCM of 992,606]= 1/300576

Therefore, the GCF of 103/992,192/606 is 1/300576.

Greatest Common Factor of 103,192

To find the highest common factor of 103,192, we have to find the factors of both numbers and list the highest common factor.

The factors of 103 are 1, 103

The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

The HCF of 103,192 is 1.

Lets's calculate GCF of 103,192

Greatest Common Factor (GCF) of 103,192 By Common Division

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

Greatest Common Factor of 103,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,192 By Matching Biggest Common Factor Method

Now, list down the factors of 103

:

1,103

Now, list down the factors of 192

:

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 103,192 . The biggest common factor number is the GCF number.
So the greatest common factor 103,192 is 1.

Lets's calculate LCM of 992,606

Lowest Common Multiple of 992,606 using Common Division

2 992, 606
496, 303

∴ So the LCM of the given numbers is 2 x 496 x 303 = 300576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300576

Therefore, the GCF of Fractions 103/992,192/606 is 1/300576

Least Common Multiple of 992,606 with GCF Formula

Least Common Multiple of 992,606 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 992,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,606) = 2

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

GCF(992,606) x common factors =2 x 1 = 2

LCM(992,606) = ( 992 × 606 ) / 2

LCM(992,606) = 601152 / 2

LCM(992,606) = 300576


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FAQs on GCF of Fractions of 103/992, 192/606

1. What is the HCF of 103,192?

The HCF of 103,192 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 103/992, 192/606?

Answer: GCF of Numerators as per given numbers 103/992, 192/606 is

GCF of Numerators i.e. for 103,192 is 1

LCM of denominators i.e. for 992,606 is 300576.

Thus, GCF of Fractions is 1/300576.Finally, GCF of Fractions for 103/992, 192/606 is 1/300576.