How to Find GCF of 8235/604, 5611/880?

GCF of 8235/604, 5611/880

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 8235/604, 5611/880 i.e 1/132880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8235/604, 5611/880.

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 8235/604,5611/880?

Given fractions are 8235/604,5611/880

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 8235/604,5611/880, numerators are 8235,5611

Denominators are 604,880

The GCF of 8235,5611 is 1 .

LCM of 604,880 is 132880.

The greatest common factor of 8235/604,5611/880 = [GCF of 8235,5611]/[LCM of 604,880]= 1/132880

Therefore, the GCF of 8235/604,5611/880 is 1/132880.

Greatest Common Factor of 8235,5611

To find the highest common factor of 8235,5611, we have to find the factors of both numbers and list the highest common factor.

The factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235

The factors of 5611 are 1, 31, 181, 5611

The HCF of 8235,5611 is 1.

Lets's calculate GCF of 8235,5611

Greatest Common Factor (GCF) of 8235,5611 By Common Division

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

Greatest Common Factor of 8235,5611 By Matching Biggest Common Factor Method

Now, list down the factors of 8235

1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235

Now, list down the factors of 5611

1,31,181,5611

Greatest Common Factor

We found the factors 8235,5611 . The biggest common factor number is the GCF number.
So the greatest common factor 8235,5611 is 1.

Lets's calculate LCM of 604,880

Lowest Common Multiple of 604,880 using Common Division

2	604, 880
2	302, 440
	151, 220

∴ So the LCM of the given numbers is 2 x 2 x 151 x 220 = 132880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132880

Therefore, the GCF of Fractions 8235/604,5611/880 is 1/132880

Least Common Multiple of 604,880 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 604,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,880) = 4

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

GCF(604,880) x common factors =4 x 1 = 4

LCM(604,880) = ( 604 × 880 ) / 4

LCM(604,880) = 531520 / 4

LCM(604,880) = 132880

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FAQs on GCF of Fractions of 8235/604, 5611/880

1. What is the HCF of 8235,5611?

The HCF of 8235,5611 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 8235/604, 5611/880?

Answer: GCF of Numerators as per given numbers 8235/604, 5611/880 is

GCF of Numerators i.e. for 8235,5611 is 1

LCM of denominators i.e. for 604,880 is 132880.

Thus, GCF of Fractions is 1/132880.Finally, GCF of Fractions for 8235/604, 5611/880 is 1/132880.