How to Find GCF of 1493/715, 3227/1402?

GCF of 1493/715, 3227/1402

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 1493/715, 3227/1402 i.e 1/1002430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1493/715, 3227/1402.

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 1493/715,3227/1402?

Given fractions are 1493/715,3227/1402

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 1493/715,3227/1402, numerators are 1493,3227

Denominators are 715,1402

The GCF of 1493,3227 is 1 .

LCM of 715,1402 is 1002430.

The greatest common factor of 1493/715,3227/1402 = [GCF of 1493,3227]/[LCM of 715,1402]= 1/1002430

Therefore, the GCF of 1493/715,3227/1402 is 1/1002430.

Greatest Common Factor of 1493,3227

To find the highest common factor of 1493,3227, we have to find the factors of both numbers and list the highest common factor.

The factors of 1493 are 1, 1493

The factors of 3227 are 1, 7, 461, 3227

The HCF of 1493,3227 is 1.

Lets's calculate GCF of 1493,3227

Greatest Common Factor (GCF) of 1493,3227 By Common Division

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

Greatest Common Factor of 1493,3227 By Matching Biggest Common Factor Method

Now, list down the factors of 1493

1,1493

Now, list down the factors of 3227

1,7,461,3227

Greatest Common Factor

We found the factors 1493,3227 . The biggest common factor number is the GCF number.
So the greatest common factor 1493,3227 is 1.

Lets's calculate LCM of 715,1402

Lowest Common Multiple of 715,1402 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1002430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1002430

Therefore, the GCF of Fractions 1493/715,3227/1402 is 1/1002430

Least Common Multiple of 715,1402 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 715,1402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,1402) = 1

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

GCF(715,1402) x common factors =1 x 1 = 1

LCM(715,1402) = ( 715 × 1402 ) / 1

LCM(715,1402) = 1002430 / 1

LCM(715,1402) = 1002430

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FAQs on GCF of Fractions of 1493/715, 3227/1402

1. What is the HCF of 1493,3227?

The HCF of 1493,3227 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 1493/715, 3227/1402?

Answer: GCF of Numerators as per given numbers 1493/715, 3227/1402 is

GCF of Numerators i.e. for 1493,3227 is 1

LCM of denominators i.e. for 715,1402 is 1002430.

Thus, GCF of Fractions is 1/1002430.Finally, GCF of Fractions for 1493/715, 3227/1402 is 1/1002430.