How to Find GCF of 570/379, 407/480?

GCF of 570/379, 407/480

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 570/379, 407/480 i.e 1/181920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/379, 407/480.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 570/379,407/480?

Given fractions are 570/379,407/480

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 570/379,407/480, numerators are 570,407

Denominators are 379,480

The GCF of 570,407 is 1 .

LCM of 379,480 is 181920.

The greatest common factor of 570/379,407/480 = [GCF of 570,407]/[LCM of 379,480]= 1/181920

Therefore, the GCF of 570/379,407/480 is 1/181920.

Greatest Common Factor of 570,407

To find the highest common factor of 570,407, we have to find the factors of both numbers and list the highest common factor.

The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

The factors of 407 are 1, 11, 37, 407

The HCF of 570,407 is 1.

Lets's calculate GCF of 570,407

Greatest Common Factor (GCF) of 570,407 By Common Division

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

Greatest Common Factor of 570,407 By Matching Biggest Common Factor Method

Now, list down the factors of 570

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Now, list down the factors of 407

1,11,37,407

Greatest Common Factor

We found the factors 570,407 . The biggest common factor number is the GCF number.
So the greatest common factor 570,407 is 1.

Lets's calculate LCM of 379,480

Lowest Common Multiple of 379,480 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 181920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181920

Therefore, the GCF of Fractions 570/379,407/480 is 1/181920

Least Common Multiple of 379,480 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 379,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,480) = 1

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

GCF(379,480) x common factors =1 x 1 = 1

LCM(379,480) = ( 379 × 480 ) / 1

LCM(379,480) = 181920 / 1

LCM(379,480) = 181920

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FAQs on GCF of Fractions of 570/379, 407/480

1. What is the HCF of 570,407?

The HCF of 570,407 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 570/379, 407/480?

Answer: GCF of Numerators as per given numbers 570/379, 407/480 is

GCF of Numerators i.e. for 570,407 is 1

LCM of denominators i.e. for 379,480 is 181920.

Thus, GCF of Fractions is 1/181920.Finally, GCF of Fractions for 570/379, 407/480 is 1/181920.