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GCF of 578/520, 196/973

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 578/520, 196/973 i.e 2/505960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 578/520, 196/973.

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 578/520,196/973?

Given fractions are 578/520,196/973

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 578/520,196/973, numerators are 578,196

Denominators are 520,973

The GCF of 578,196 is 2 .

LCM of 520,973 is 505960.

The greatest common factor of 578/520,196/973 = [GCF of 578,196]/[LCM of 520,973]= 2/505960

Therefore, the GCF of 578/520,196/973 is 2/505960.

Greatest Common Factor of 578,196

To find the highest common factor of 578,196, we have to find the factors of both numbers and list the highest common factor.

The factors of 578 are 1, 2, 17, 34, 289, 578

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196

The HCF of 578,196 is 2.

Lets's calculate GCF of 578,196

Greatest Common Factor (GCF) of 578,196 By Common Division

2 578, 196
289, 98

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 578,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,196 By Matching Biggest Common Factor Method

Now, list down the factors of 578

:

1,2,17,34,289,578

Now, list down the factors of 196

:

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 578,196 . The biggest common factor number is the GCF number.
So the greatest common factor 578,196 is 2.

Lets's calculate LCM of 520,973

Lowest Common Multiple of 520,973 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 505960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/505960

Therefore, the GCF of Fractions 578/520,196/973 is 2/505960

Least Common Multiple of 520,973 with GCF Formula

Least Common Multiple of 520,973 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 520,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,973) = 1

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

GCF(520,973) x common factors =1 x 1 = 1

LCM(520,973) = ( 520 × 973 ) / 1

LCM(520,973) = 505960 / 1

LCM(520,973) = 505960


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FAQs on GCF of Fractions of 578/520, 196/973

1. What is the HCF of 578,196?

The HCF of 578,196 is 2

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 578/520, 196/973?

Answer: GCF of Numerators as per given numbers 578/520, 196/973 is

GCF of Numerators i.e. for 578,196 is 2

LCM of denominators i.e. for 520,973 is 505960.

Thus, GCF of Fractions is 2/505960.Finally, GCF of Fractions for 578/520, 196/973 is 2/505960.