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GCF of 4079/475, 3357/1615

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 4079/475, 3357/1615 i.e 1/8075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4079/475, 3357/1615.

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 4079/475,3357/1615?

Given fractions are 4079/475,3357/1615

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 4079/475,3357/1615, numerators are 4079,3357

Denominators are 475,1615

The GCF of 4079,3357 is 1 .

LCM of 475,1615 is 8075.

The greatest common factor of 4079/475,3357/1615 = [GCF of 4079,3357]/[LCM of 475,1615]= 1/8075

Therefore, the GCF of 4079/475,3357/1615 is 1/8075.

Greatest Common Factor of 4079,3357

To find the highest common factor of 4079,3357, we have to find the factors of both numbers and list the highest common factor.

The factors of 4079 are 1, 4079

The factors of 3357 are 1, 3, 9, 373, 1119, 3357

The HCF of 4079,3357 is 1.

Lets's calculate GCF of 4079,3357

Greatest Common Factor (GCF) of 4079,3357 By Common Division

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

Greatest Common Factor of 4079,3357 By Matching Biggest Common Factor Method

Greatest Common Factor of 4079,3357 By Matching Biggest Common Factor Method

Now, list down the factors of 4079

:

1,4079

Now, list down the factors of 3357

:

1,3,9,373,1119,3357

Greatest Common Factor

We found the factors 4079,3357 . The biggest common factor number is the GCF number.
So the greatest common factor 4079,3357 is 1.

Lets's calculate LCM of 475,1615

Lowest Common Multiple of 475,1615 using Common Division

5 475, 1615
19 95, 323
5, 17

∴ So the LCM of the given numbers is 5 x 19 x 5 x 17 = 8075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8075

Therefore, the GCF of Fractions 4079/475,3357/1615 is 1/8075

Least Common Multiple of 475,1615 with GCF Formula

Least Common Multiple of 475,1615 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 475,1615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,1615) = 95

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

GCF(475,1615) x common factors =95 x 1 = 95

LCM(475,1615) = ( 475 × 1615 ) / 95

LCM(475,1615) = 767125 / 95

LCM(475,1615) = 8075


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FAQs on GCF of Fractions of 4079/475, 3357/1615

1. What is the HCF of 4079,3357?

The HCF of 4079,3357 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 4079/475, 3357/1615?

Answer: GCF of Numerators as per given numbers 4079/475, 3357/1615 is

GCF of Numerators i.e. for 4079,3357 is 1

LCM of denominators i.e. for 475,1615 is 8075.

Thus, GCF of Fractions is 1/8075.Finally, GCF of Fractions for 4079/475, 3357/1615 is 1/8075.