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GCF of 904/491, 233/540

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 904/491, 233/540 i.e 1/265140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/491, 233/540.

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 904/491,233/540?

Given fractions are 904/491,233/540

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 904/491,233/540, numerators are 904,233

Denominators are 491,540

The GCF of 904,233 is 1 .

LCM of 491,540 is 265140.

The greatest common factor of 904/491,233/540 = [GCF of 904,233]/[LCM of 491,540]= 1/265140

Therefore, the GCF of 904/491,233/540 is 1/265140.

Greatest Common Factor of 904,233

To find the highest common factor of 904,233, we have to find the factors of both numbers and list the highest common factor.

The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904

The factors of 233 are 1, 233

The HCF of 904,233 is 1.

Lets's calculate GCF of 904,233

Greatest Common Factor (GCF) of 904,233 By Common Division

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

Greatest Common Factor of 904,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,233 By Matching Biggest Common Factor Method

Now, list down the factors of 904

:

1,2,4,8,113,226,452,904

Now, list down the factors of 233

:

1,233

Greatest Common Factor

We found the factors 904,233 . The biggest common factor number is the GCF number.
So the greatest common factor 904,233 is 1.

Lets's calculate LCM of 491,540

Lowest Common Multiple of 491,540 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 265140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265140

Therefore, the GCF of Fractions 904/491,233/540 is 1/265140

Least Common Multiple of 491,540 with GCF Formula

Least Common Multiple of 491,540 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 491,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,540) = 1

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

GCF(491,540) x common factors =1 x 1 = 1

LCM(491,540) = ( 491 × 540 ) / 1

LCM(491,540) = 265140 / 1

LCM(491,540) = 265140


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FAQs on GCF of Fractions of 904/491, 233/540

1. What is the HCF of 904,233?

The HCF of 904,233 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 904/491, 233/540?

Answer: GCF of Numerators as per given numbers 904/491, 233/540 is

GCF of Numerators i.e. for 904,233 is 1

LCM of denominators i.e. for 491,540 is 265140.

Thus, GCF of Fractions is 1/265140.Finally, GCF of Fractions for 904/491, 233/540 is 1/265140.