How to Find GCF of 860/604, 409/372?

GCF of 860/604, 409/372

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 860/604, 409/372 i.e 1/56172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/604, 409/372.

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 860/604,409/372?

Given fractions are 860/604,409/372

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 860/604,409/372, numerators are 860,409

Denominators are 604,372

The GCF of 860,409 is 1 .

LCM of 604,372 is 56172.

The greatest common factor of 860/604,409/372 = [GCF of 860,409]/[LCM of 604,372]= 1/56172

Therefore, the GCF of 860/604,409/372 is 1/56172.

Greatest Common Factor of 860,409

To find the highest common factor of 860,409, we have to find the factors of both numbers and list the highest common factor.

The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

The factors of 409 are 1, 409

The HCF of 860,409 is 1.

Lets's calculate GCF of 860,409

Greatest Common Factor (GCF) of 860,409 By Common Division

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

Greatest Common Factor of 860,409 By Matching Biggest Common Factor Method

Now, list down the factors of 860

1,2,4,5,10,20,43,86,172,215,430,860

Now, list down the factors of 409

1,409

Greatest Common Factor

We found the factors 860,409 . The biggest common factor number is the GCF number.
So the greatest common factor 860,409 is 1.

Lets's calculate LCM of 604,372

Lowest Common Multiple of 604,372 using Common Division

2	604, 372
2	302, 186
	151, 93

∴ So the LCM of the given numbers is 2 x 2 x 151 x 93 = 56172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56172

Therefore, the GCF of Fractions 860/604,409/372 is 1/56172

Least Common Multiple of 604,372 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 604,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,372) = 4

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

GCF(604,372) x common factors =4 x 1 = 4

LCM(604,372) = ( 604 × 372 ) / 4

LCM(604,372) = 224688 / 4

LCM(604,372) = 56172

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FAQs on GCF of Fractions of 860/604, 409/372

1. What is the HCF of 860,409?

The HCF of 860,409 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 860/604, 409/372?

Answer: GCF of Numerators as per given numbers 860/604, 409/372 is

GCF of Numerators i.e. for 860,409 is 1

LCM of denominators i.e. for 604,372 is 56172.

Thus, GCF of Fractions is 1/56172.Finally, GCF of Fractions for 860/604, 409/372 is 1/56172.