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GCF of 326/522, 733/949

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 326/522, 733/949 i.e 1/495378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 326/522, 733/949.

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 326/522,733/949?

Given fractions are 326/522,733/949

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 326/522,733/949, numerators are 326,733

Denominators are 522,949

The GCF of 326,733 is 1 .

LCM of 522,949 is 495378.

The greatest common factor of 326/522,733/949 = [GCF of 326,733]/[LCM of 522,949]= 1/495378

Therefore, the GCF of 326/522,733/949 is 1/495378.

Greatest Common Factor of 326,733

To find the highest common factor of 326,733, we have to find the factors of both numbers and list the highest common factor.

The factors of 326 are 1, 2, 163, 326

The factors of 733 are 1, 733

The HCF of 326,733 is 1.

Lets's calculate GCF of 326,733

Greatest Common Factor (GCF) of 326,733 By Common Division

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

Greatest Common Factor of 326,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,733 By Matching Biggest Common Factor Method

Now, list down the factors of 326

:

1,2,163,326

Now, list down the factors of 733

:

1,733

Greatest Common Factor

We found the factors 326,733 . The biggest common factor number is the GCF number.
So the greatest common factor 326,733 is 1.

Lets's calculate LCM of 522,949

Lowest Common Multiple of 522,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 495378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495378

Therefore, the GCF of Fractions 326/522,733/949 is 1/495378

Least Common Multiple of 522,949 with GCF Formula

Least Common Multiple of 522,949 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 522,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,949) = 1

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

GCF(522,949) x common factors =1 x 1 = 1

LCM(522,949) = ( 522 × 949 ) / 1

LCM(522,949) = 495378 / 1

LCM(522,949) = 495378


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FAQs on GCF of Fractions of 326/522, 733/949

1. What is the HCF of 326,733?

The HCF of 326,733 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 326/522, 733/949?

Answer: GCF of Numerators as per given numbers 326/522, 733/949 is

GCF of Numerators i.e. for 326,733 is 1

LCM of denominators i.e. for 522,949 is 495378.

Thus, GCF of Fractions is 1/495378.Finally, GCF of Fractions for 326/522, 733/949 is 1/495378.