How to Find GCF of 7003/293, 3226/4949?

GCF of 7003/293, 3226/4949

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 7003/293, 3226/4949 i.e 1/1450057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7003/293, 3226/4949.

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 7003/293,3226/4949?

Given fractions are 7003/293,3226/4949

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 7003/293,3226/4949, numerators are 7003,3226

Denominators are 293,4949

The GCF of 7003,3226 is 1 .

LCM of 293,4949 is 1450057.

The greatest common factor of 7003/293,3226/4949 = [GCF of 7003,3226]/[LCM of 293,4949]= 1/1450057

Therefore, the GCF of 7003/293,3226/4949 is 1/1450057.

Greatest Common Factor of 7003,3226

To find the highest common factor of 7003,3226, we have to find the factors of both numbers and list the highest common factor.

The factors of 7003 are 1, 47, 149, 7003

The factors of 3226 are 1, 2, 1613, 3226

The HCF of 7003,3226 is 1.

Lets's calculate GCF of 7003,3226

Greatest Common Factor (GCF) of 7003,3226 By Common Division

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

Greatest Common Factor of 7003,3226 By Matching Biggest Common Factor Method

Now, list down the factors of 7003

1,47,149,7003

Now, list down the factors of 3226

1,2,1613,3226

Greatest Common Factor

We found the factors 7003,3226 . The biggest common factor number is the GCF number.
So the greatest common factor 7003,3226 is 1.

Lets's calculate LCM of 293,4949

Lowest Common Multiple of 293,4949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1450057

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1450057

Therefore, the GCF of Fractions 7003/293,3226/4949 is 1/1450057

Least Common Multiple of 293,4949 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 293,4949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,4949) = 1

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

GCF(293,4949) x common factors =1 x 1 = 1

LCM(293,4949) = ( 293 × 4949 ) / 1

LCM(293,4949) = 1450057 / 1

LCM(293,4949) = 1450057

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FAQs on GCF of Fractions of 7003/293, 3226/4949

1. What is the HCF of 7003,3226?

The HCF of 7003,3226 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 7003/293, 3226/4949?

Answer: GCF of Numerators as per given numbers 7003/293, 3226/4949 is

GCF of Numerators i.e. for 7003,3226 is 1

LCM of denominators i.e. for 293,4949 is 1450057.

Thus, GCF of Fractions is 1/1450057.Finally, GCF of Fractions for 7003/293, 3226/4949 is 1/1450057.