How to Find GCF of 14/76, 997/14, 490/931?

GCF of 14/76, 997/14, 490/931

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 14/76, 997/14, 490/931 i.e 1/3724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/76, 997/14, 490/931.

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 14/76,997/14,490/931?

Given fractions are 14/76,997/14,490/931

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 14/76,997/14,490/931, numerators are 14,997,490

Denominators are 76,14,931

The GCF of 14,997,490 is 1 .

LCM of 76,14,931 is 3724.

The greatest common factor of 14/76,997/14,490/931 = [GCF of 14,997,490]/[LCM of 76,14,931]= 1/3724

Therefore, the GCF of 14/76,997/14,490/931 is 1/3724.

Greatest Common Factor of 14,997,490

To find the highest common factor of 14,997,490, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 997 are 1, 997

The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

The HCF of 14,997,490 is 1.

Lets's calculate GCF of 14,997,490

Greatest Common Factor (GCF) of 14,997,490 By Common Division

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

Greatest Common Factor of 14,997,490 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 997

1,997

Now, list down the factors of 490

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 14,997,490 . The biggest common factor number is the GCF number.
So the greatest common factor 14,997,490 is 1.

Lets's calculate LCM of 76,14,931

Lowest Common Multiple of 76,14,931 using Common Division

2	76, 14, 931
7	38, 7, 931
19	38, 1, 133
	2, 1, 7

∴ So the LCM of the given numbers is 2 x 7 x 19 x 2 x 1 x 7 = 3724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3724

Therefore, the GCF of Fractions 14/76,997/14,490/931 is 1/3724

Least Common Multiple of 76,14,931 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 76,14,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,14,931) = 1

common factors(in case of two or more numbers have common factors) = 266

GCF(76,14,931) x common factors =1 x 266 = 266

LCM(76,14,931) = ( 76 × 14 × 931 ) / 266

LCM(76,14,931) = 990584 / 266

LCM(76,14,931) = 3724

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/76, 997/14, 490/931

1. What is the HCF of 14,997,490?

The HCF of 14,997,490 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 14/76, 997/14, 490/931?

Answer: GCF of Numerators as per given numbers 14/76, 997/14, 490/931 is

GCF of Numerators i.e. for 14,997,490 is 1

LCM of denominators i.e. for 76,14,931 is 3724.

Thus, GCF of Fractions is 1/3724.Finally, GCF of Fractions for 14/76, 997/14, 490/931 is 1/3724.