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GCF of 733/970, 554/598

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 733/970, 554/598 i.e 1/290030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 733/970, 554/598.

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 733/970,554/598?

Given fractions are 733/970,554/598

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 733/970,554/598, numerators are 733,554

Denominators are 970,598

The GCF of 733,554 is 1 .

LCM of 970,598 is 290030.

The greatest common factor of 733/970,554/598 = [GCF of 733,554]/[LCM of 970,598]= 1/290030

Therefore, the GCF of 733/970,554/598 is 1/290030.

Greatest Common Factor of 733,554

To find the highest common factor of 733,554, we have to find the factors of both numbers and list the highest common factor.

The factors of 733 are 1, 733

The factors of 554 are 1, 2, 277, 554

The HCF of 733,554 is 1.

Lets's calculate GCF of 733,554

Greatest Common Factor (GCF) of 733,554 By Common Division

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

Greatest Common Factor of 733,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,554 By Matching Biggest Common Factor Method

Now, list down the factors of 733

:

1,733

Now, list down the factors of 554

:

1,2,277,554

Greatest Common Factor

We found the factors 733,554 . The biggest common factor number is the GCF number.
So the greatest common factor 733,554 is 1.

Lets's calculate LCM of 970,598

Lowest Common Multiple of 970,598 using Common Division

2 970, 598
485, 299

∴ So the LCM of the given numbers is 2 x 485 x 299 = 290030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290030

Therefore, the GCF of Fractions 733/970,554/598 is 1/290030

Least Common Multiple of 970,598 with GCF Formula

Least Common Multiple of 970,598 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 970,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,598) = 2

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

GCF(970,598) x common factors =2 x 1 = 2

LCM(970,598) = ( 970 × 598 ) / 2

LCM(970,598) = 580060 / 2

LCM(970,598) = 290030


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FAQs on GCF of Fractions of 733/970, 554/598

1. What is the HCF of 733,554?

The HCF of 733,554 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 733/970, 554/598?

Answer: GCF of Numerators as per given numbers 733/970, 554/598 is

GCF of Numerators i.e. for 733,554 is 1

LCM of denominators i.e. for 970,598 is 290030.

Thus, GCF of Fractions is 1/290030.Finally, GCF of Fractions for 733/970, 554/598 is 1/290030.