How to Find GCF of 876/475, 3404/406?

GCF of 876/475, 3404/406

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 876/475, 3404/406 i.e 4/192850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/475, 3404/406.

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 876/475,3404/406?

Given fractions are 876/475,3404/406

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 876/475,3404/406, numerators are 876,3404

Denominators are 475,406

The GCF of 876,3404 is 4 .

LCM of 475,406 is 192850.

The greatest common factor of 876/475,3404/406 = [GCF of 876,3404]/[LCM of 475,406]= 4/192850

Therefore, the GCF of 876/475,3404/406 is 4/192850.

Greatest Common Factor of 876,3404

To find the highest common factor of 876,3404, we have to find the factors of both numbers and list the highest common factor.

The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

The factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404

The HCF of 876,3404 is 4.

Lets's calculate GCF of 876,3404

Greatest Common Factor (GCF) of 876,3404 By Common Division

2	876, 3404
2	438, 1702
	219, 851

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 876,3404 By Matching Biggest Common Factor Method

Now, list down the factors of 876

1,2,3,4,6,12,73,146,219,292,438,876

Now, list down the factors of 3404

1,2,4,23,37,46,74,92,148,851,1702,3404

Greatest Common Factor

We found the factors 876,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 876,3404 is 4.

Lets's calculate LCM of 475,406

Lowest Common Multiple of 475,406 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 192850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/192850

Therefore, the GCF of Fractions 876/475,3404/406 is 4/192850

Least Common Multiple of 475,406 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 475,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,406) = 1

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

GCF(475,406) x common factors =1 x 1 = 1

LCM(475,406) = ( 475 × 406 ) / 1

LCM(475,406) = 192850 / 1

LCM(475,406) = 192850

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FAQs on GCF of Fractions of 876/475, 3404/406

1. What is the HCF of 876,3404?

The HCF of 876,3404 is 4

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 876/475, 3404/406?

Answer: GCF of Numerators as per given numbers 876/475, 3404/406 is

GCF of Numerators i.e. for 876,3404 is 4

LCM of denominators i.e. for 475,406 is 192850.

Thus, GCF of Fractions is 4/192850.Finally, GCF of Fractions for 876/475, 3404/406 is 4/192850.