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GCF of 1318/992, 8045/194

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 1318/992, 8045/194 i.e 1/96224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1318/992, 8045/194.

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 1318/992,8045/194?

Given fractions are 1318/992,8045/194

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 1318/992,8045/194, numerators are 1318,8045

Denominators are 992,194

The GCF of 1318,8045 is 1 .

LCM of 992,194 is 96224.

The greatest common factor of 1318/992,8045/194 = [GCF of 1318,8045]/[LCM of 992,194]= 1/96224

Therefore, the GCF of 1318/992,8045/194 is 1/96224.

Greatest Common Factor of 1318,8045

To find the highest common factor of 1318,8045, we have to find the factors of both numbers and list the highest common factor.

The factors of 1318 are 1, 2, 659, 1318

The factors of 8045 are 1, 5, 1609, 8045

The HCF of 1318,8045 is 1.

Lets's calculate GCF of 1318,8045

Greatest Common Factor (GCF) of 1318,8045 By Common Division

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

Greatest Common Factor of 1318,8045 By Matching Biggest Common Factor Method

Greatest Common Factor of 1318,8045 By Matching Biggest Common Factor Method

Now, list down the factors of 1318

:

1,2,659,1318

Now, list down the factors of 8045

:

1,5,1609,8045

Greatest Common Factor

We found the factors 1318,8045 . The biggest common factor number is the GCF number.
So the greatest common factor 1318,8045 is 1.

Lets's calculate LCM of 992,194

Lowest Common Multiple of 992,194 using Common Division

2 992, 194
496, 97

∴ So the LCM of the given numbers is 2 x 496 x 97 = 96224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96224

Therefore, the GCF of Fractions 1318/992,8045/194 is 1/96224

Least Common Multiple of 992,194 with GCF Formula

Least Common Multiple of 992,194 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 992,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,194) = 2

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

GCF(992,194) x common factors =2 x 1 = 2

LCM(992,194) = ( 992 × 194 ) / 2

LCM(992,194) = 192448 / 2

LCM(992,194) = 96224


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FAQs on GCF of Fractions of 1318/992, 8045/194

1. What is the HCF of 1318,8045?

The HCF of 1318,8045 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 1318/992, 8045/194?

Answer: GCF of Numerators as per given numbers 1318/992, 8045/194 is

GCF of Numerators i.e. for 1318,8045 is 1

LCM of denominators i.e. for 992,194 is 96224.

Thus, GCF of Fractions is 1/96224.Finally, GCF of Fractions for 1318/992, 8045/194 is 1/96224.