How to Find GCF of 940/335, 696/289?

GCF of 940/335, 696/289

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 940/335, 696/289 i.e 4/96815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/335, 696/289.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 940/335,696/289?

Given fractions are 940/335,696/289

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 940/335,696/289, numerators are 940,696

Denominators are 335,289

The GCF of 940,696 is 4 .

LCM of 335,289 is 96815.

The greatest common factor of 940/335,696/289 = [GCF of 940,696]/[LCM of 335,289]= 4/96815

Therefore, the GCF of 940/335,696/289 is 4/96815.

Greatest Common Factor of 940,696

To find the highest common factor of 940,696, 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 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

The HCF of 940,696 is 4.

Lets's calculate GCF of 940,696

Greatest Common Factor (GCF) of 940,696 By Common Division

2	940, 696
2	470, 348
	235, 174

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 940,696 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 696

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 940,696 . The biggest common factor number is the GCF number.
So the greatest common factor 940,696 is 4.

Lets's calculate LCM of 335,289

Lowest Common Multiple of 335,289 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 96815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/96815

Therefore, the GCF of Fractions 940/335,696/289 is 4/96815

Least Common Multiple of 335,289 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 335,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,289) = 1

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

GCF(335,289) x common factors =1 x 1 = 1

LCM(335,289) = ( 335 × 289 ) / 1

LCM(335,289) = 96815 / 1

LCM(335,289) = 96815

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FAQs on GCF of Fractions of 940/335, 696/289

1. What is the HCF of 940,696?

The HCF of 940,696 is 4

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 940/335, 696/289?

Answer: GCF of Numerators as per given numbers 940/335, 696/289 is

GCF of Numerators i.e. for 940,696 is 4

LCM of denominators i.e. for 335,289 is 96815.

Thus, GCF of Fractions is 4/96815.Finally, GCF of Fractions for 940/335, 696/289 is 4/96815.