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GCF of 233/749, 361/425

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 233/749, 361/425 i.e 1/318325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/749, 361/425.

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 233/749,361/425?

Given fractions are 233/749,361/425

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 233/749,361/425, numerators are 233,361

Denominators are 749,425

The GCF of 233,361 is 1 .

LCM of 749,425 is 318325.

The greatest common factor of 233/749,361/425 = [GCF of 233,361]/[LCM of 749,425]= 1/318325

Therefore, the GCF of 233/749,361/425 is 1/318325.

Greatest Common Factor of 233,361

To find the highest common factor of 233,361, we have to find the factors of both numbers and list the highest common factor.

The factors of 233 are 1, 233

The factors of 361 are 1, 19, 361

The HCF of 233,361 is 1.

Lets's calculate GCF of 233,361

Greatest Common Factor (GCF) of 233,361 By Common Division

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

Greatest Common Factor of 233,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,361 By Matching Biggest Common Factor Method

Now, list down the factors of 233

:

1,233

Now, list down the factors of 361

:

1,19,361

Greatest Common Factor

We found the factors 233,361 . The biggest common factor number is the GCF number.
So the greatest common factor 233,361 is 1.

Lets's calculate LCM of 749,425

Lowest Common Multiple of 749,425 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 318325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318325

Therefore, the GCF of Fractions 233/749,361/425 is 1/318325

Least Common Multiple of 749,425 with GCF Formula

Least Common Multiple of 749,425 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 749,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,425) = 1

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

GCF(749,425) x common factors =1 x 1 = 1

LCM(749,425) = ( 749 × 425 ) / 1

LCM(749,425) = 318325 / 1

LCM(749,425) = 318325


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FAQs on GCF of Fractions of 233/749, 361/425

1. What is the HCF of 233,361?

The HCF of 233,361 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 233/749, 361/425?

Answer: GCF of Numerators as per given numbers 233/749, 361/425 is

GCF of Numerators i.e. for 233,361 is 1

LCM of denominators i.e. for 749,425 is 318325.

Thus, GCF of Fractions is 1/318325.Finally, GCF of Fractions for 233/749, 361/425 is 1/318325.