How to Find GCF of 7118/401, 4665/3340?

GCF of 7118/401, 4665/3340

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 7118/401, 4665/3340 i.e 1/1339340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7118/401, 4665/3340.

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 7118/401,4665/3340?

Given fractions are 7118/401,4665/3340

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 7118/401,4665/3340, numerators are 7118,4665

Denominators are 401,3340

The GCF of 7118,4665 is 1 .

LCM of 401,3340 is 1339340.

The greatest common factor of 7118/401,4665/3340 = [GCF of 7118,4665]/[LCM of 401,3340]= 1/1339340

Therefore, the GCF of 7118/401,4665/3340 is 1/1339340.

Greatest Common Factor of 7118,4665

To find the highest common factor of 7118,4665, we have to find the factors of both numbers and list the highest common factor.

The factors of 7118 are 1, 2, 3559, 7118

The factors of 4665 are 1, 3, 5, 15, 311, 933, 1555, 4665

The HCF of 7118,4665 is 1.

Lets's calculate GCF of 7118,4665

Greatest Common Factor (GCF) of 7118,4665 By Common Division

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

Greatest Common Factor of 7118,4665 By Matching Biggest Common Factor Method

Now, list down the factors of 7118

1,2,3559,7118

Now, list down the factors of 4665

1,3,5,15,311,933,1555,4665

Greatest Common Factor

We found the factors 7118,4665 . The biggest common factor number is the GCF number.
So the greatest common factor 7118,4665 is 1.

Lets's calculate LCM of 401,3340

Lowest Common Multiple of 401,3340 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1339340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1339340

Therefore, the GCF of Fractions 7118/401,4665/3340 is 1/1339340

Least Common Multiple of 401,3340 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 401,3340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,3340) = 1

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

GCF(401,3340) x common factors =1 x 1 = 1

LCM(401,3340) = ( 401 × 3340 ) / 1

LCM(401,3340) = 1339340 / 1

LCM(401,3340) = 1339340

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FAQs on GCF of Fractions of 7118/401, 4665/3340

1. What is the HCF of 7118,4665?

The HCF of 7118,4665 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 7118/401, 4665/3340?

Answer: GCF of Numerators as per given numbers 7118/401, 4665/3340 is

GCF of Numerators i.e. for 7118,4665 is 1

LCM of denominators i.e. for 401,3340 is 1339340.

Thus, GCF of Fractions is 1/1339340.Finally, GCF of Fractions for 7118/401, 4665/3340 is 1/1339340.