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GCF of 940/985, 179/935

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 940/985, 179/935 i.e 1/184195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/985, 179/935.

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 940/985,179/935?

Given fractions are 940/985,179/935

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 940/985,179/935, numerators are 940,179

Denominators are 985,935

The GCF of 940,179 is 1 .

LCM of 985,935 is 184195.

The greatest common factor of 940/985,179/935 = [GCF of 940,179]/[LCM of 985,935]= 1/184195

Therefore, the GCF of 940/985,179/935 is 1/184195.

Greatest Common Factor of 940,179

To find the highest common factor of 940,179, we have to find the factors of both numbers and list the highest common factor.

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The factors of 179 are 1, 179

The HCF of 940,179 is 1.

Lets's calculate GCF of 940,179

Greatest Common Factor (GCF) of 940,179 By Common Division

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

Greatest Common Factor of 940,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,179 By Matching Biggest Common Factor Method

Now, list down the factors of 940

:

1,2,4,5,10,20,47,94,188,235,470,940

Now, list down the factors of 179

:

1,179

Greatest Common Factor

We found the factors 940,179 . The biggest common factor number is the GCF number.
So the greatest common factor 940,179 is 1.

Lets's calculate LCM of 985,935

Lowest Common Multiple of 985,935 using Common Division

5 985, 935
197, 187

∴ So the LCM of the given numbers is 5 x 197 x 187 = 184195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184195

Therefore, the GCF of Fractions 940/985,179/935 is 1/184195

Least Common Multiple of 985,935 with GCF Formula

Least Common Multiple of 985,935 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 985,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,935) = 5

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

GCF(985,935) x common factors =5 x 1 = 5

LCM(985,935) = ( 985 × 935 ) / 5

LCM(985,935) = 920975 / 5

LCM(985,935) = 184195


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FAQs on GCF of Fractions of 940/985, 179/935

1. What is the HCF of 940,179?

The HCF of 940,179 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 940/985, 179/935?

Answer: GCF of Numerators as per given numbers 940/985, 179/935 is

GCF of Numerators i.e. for 940,179 is 1

LCM of denominators i.e. for 985,935 is 184195.

Thus, GCF of Fractions is 1/184195.Finally, GCF of Fractions for 940/985, 179/935 is 1/184195.