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GCF of 7418/336, 3407/512

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 7418/336, 3407/512 i.e 1/10752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7418/336, 3407/512.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7418/336,3407/512?

Given fractions are 7418/336,3407/512

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 7418/336,3407/512, numerators are 7418,3407

Denominators are 336,512

The GCF of 7418,3407 is 1 .

LCM of 336,512 is 10752.

The greatest common factor of 7418/336,3407/512 = [GCF of 7418,3407]/[LCM of 336,512]= 1/10752

Therefore, the GCF of 7418/336,3407/512 is 1/10752.

Greatest Common Factor of 7418,3407

To find the highest common factor of 7418,3407, we have to find the factors of both numbers and list the highest common factor.

The factors of 7418 are 1, 2, 3709, 7418

The factors of 3407 are 1, 3407

The HCF of 7418,3407 is 1.

Lets's calculate GCF of 7418,3407

Greatest Common Factor (GCF) of 7418,3407 By Common Division

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

Greatest Common Factor of 7418,3407 By Matching Biggest Common Factor Method

Greatest Common Factor of 7418,3407 By Matching Biggest Common Factor Method

Now, list down the factors of 7418

:

1,2,3709,7418

Now, list down the factors of 3407

:

1,3407

Greatest Common Factor

We found the factors 7418,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 7418,3407 is 1.

Lets's calculate LCM of 336,512

Lowest Common Multiple of 336,512 using Common Division

2 336, 512
2 168, 256
2 84, 128
2 42, 64
21, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 21 x 32 = 10752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10752

Therefore, the GCF of Fractions 7418/336,3407/512 is 1/10752

Least Common Multiple of 336,512 with GCF Formula

Least Common Multiple of 336,512 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 336,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,512) = 16

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

GCF(336,512) x common factors =16 x 1 = 16

LCM(336,512) = ( 336 × 512 ) / 16

LCM(336,512) = 172032 / 16

LCM(336,512) = 10752


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FAQs on GCF of Fractions of 7418/336, 3407/512

1. What is the HCF of 7418,3407?

The HCF of 7418,3407 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 7418/336, 3407/512?

Answer: GCF of Numerators as per given numbers 7418/336, 3407/512 is

GCF of Numerators i.e. for 7418,3407 is 1

LCM of denominators i.e. for 336,512 is 10752.

Thus, GCF of Fractions is 1/10752.Finally, GCF of Fractions for 7418/336, 3407/512 is 1/10752.