How to Find GCF of 14/283, 61/140, 889/402?

GCF of 14/283, 61/140, 889/402

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 14/283, 61/140, 889/402 i.e 1/7963620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/283, 61/140, 889/402.

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 14/283,61/140,889/402?

Given fractions are 14/283,61/140,889/402

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 14/283,61/140,889/402, numerators are 14,61,889

Denominators are 283,140,402

The GCF of 14,61,889 is 1 .

LCM of 283,140,402 is 7963620.

The greatest common factor of 14/283,61/140,889/402 = [GCF of 14,61,889]/[LCM of 283,140,402]= 1/7963620

Therefore, the GCF of 14/283,61/140,889/402 is 1/7963620.

Greatest Common Factor of 14,61,889

To find the highest common factor of 14,61,889, 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 61 are 1, 61

The factors of 889 are 1, 7, 127, 889

The HCF of 14,61,889 is 1.

Lets's calculate GCF of 14,61,889

Greatest Common Factor (GCF) of 14,61,889 By Common Division

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

Greatest Common Factor of 14,61,889 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 61

1,61

Now, list down the factors of 889

1,7,127,889

Greatest Common Factor

We found the factors 14,61,889 . The biggest common factor number is the GCF number.
So the greatest common factor 14,61,889 is 1.

Lets's calculate LCM of 283,140,402

Lowest Common Multiple of 283,140,402 using Common Division

2	283, 140, 402
	283, 70, 201

∴ So the LCM of the given numbers is 2 x 283 x 70 x 201 = 7963620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7963620

Therefore, the GCF of Fractions 14/283,61/140,889/402 is 1/7963620

Least Common Multiple of 283,140,402 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 283,140,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,140,402) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(283,140,402) x common factors =1 x 2 = 2

LCM(283,140,402) = ( 283 × 140 × 402 ) / 2

LCM(283,140,402) = 15927240 / 2

LCM(283,140,402) = 7963620

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/283, 61/140, 889/402

1. What is the HCF of 14,61,889?

The HCF of 14,61,889 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 14/283, 61/140, 889/402?

Answer: GCF of Numerators as per given numbers 14/283, 61/140, 889/402 is

GCF of Numerators i.e. for 14,61,889 is 1

LCM of denominators i.e. for 283,140,402 is 7963620.

Thus, GCF of Fractions is 1/7963620.Finally, GCF of Fractions for 14/283, 61/140, 889/402 is 1/7963620.