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GCF of 379/530, 273/745

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 379/530, 273/745 i.e 1/78970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/530, 273/745.

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 379/530,273/745?

Given fractions are 379/530,273/745

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 379/530,273/745, numerators are 379,273

Denominators are 530,745

The GCF of 379,273 is 1 .

LCM of 530,745 is 78970.

The greatest common factor of 379/530,273/745 = [GCF of 379,273]/[LCM of 530,745]= 1/78970

Therefore, the GCF of 379/530,273/745 is 1/78970.

Greatest Common Factor of 379,273

To find the highest common factor of 379,273, we have to find the factors of both numbers and list the highest common factor.

The factors of 379 are 1, 379

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273

The HCF of 379,273 is 1.

Lets's calculate GCF of 379,273

Greatest Common Factor (GCF) of 379,273 By Common Division

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

Greatest Common Factor of 379,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,273 By Matching Biggest Common Factor Method

Now, list down the factors of 379

:

1,379

Now, list down the factors of 273

:

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 379,273 . The biggest common factor number is the GCF number.
So the greatest common factor 379,273 is 1.

Lets's calculate LCM of 530,745

Lowest Common Multiple of 530,745 using Common Division

5 530, 745
106, 149

∴ So the LCM of the given numbers is 5 x 106 x 149 = 78970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78970

Therefore, the GCF of Fractions 379/530,273/745 is 1/78970

Least Common Multiple of 530,745 with GCF Formula

Least Common Multiple of 530,745 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 530,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,745) = 5

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

GCF(530,745) x common factors =5 x 1 = 5

LCM(530,745) = ( 530 × 745 ) / 5

LCM(530,745) = 394850 / 5

LCM(530,745) = 78970


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FAQs on GCF of Fractions of 379/530, 273/745

1. What is the HCF of 379,273?

The HCF of 379,273 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 379/530, 273/745?

Answer: GCF of Numerators as per given numbers 379/530, 273/745 is

GCF of Numerators i.e. for 379,273 is 1

LCM of denominators i.e. for 530,745 is 78970.

Thus, GCF of Fractions is 1/78970.Finally, GCF of Fractions for 379/530, 273/745 is 1/78970.