How to Find GCF of 568/493, 980/942?

GCF of 568/493, 980/942

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 568/493, 980/942 i.e 4/464406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/493, 980/942.

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 568/493,980/942?

Given fractions are 568/493,980/942

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 568/493,980/942, numerators are 568,980

Denominators are 493,942

The GCF of 568,980 is 4 .

LCM of 493,942 is 464406.

The greatest common factor of 568/493,980/942 = [GCF of 568,980]/[LCM of 493,942]= 4/464406

Therefore, the GCF of 568/493,980/942 is 4/464406.

Greatest Common Factor of 568,980

To find the highest common factor of 568,980, we have to find the factors of both numbers and list the highest common factor.

The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The HCF of 568,980 is 4.

Lets's calculate GCF of 568,980

Greatest Common Factor (GCF) of 568,980 By Common Division

2	568, 980
2	284, 490
	142, 245

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 568,980 By Matching Biggest Common Factor Method

Now, list down the factors of 568

1,2,4,8,71,142,284,568

Now, list down the factors of 980

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 568,980 . The biggest common factor number is the GCF number.
So the greatest common factor 568,980 is 4.

Lets's calculate LCM of 493,942

Lowest Common Multiple of 493,942 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 464406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/464406

Therefore, the GCF of Fractions 568/493,980/942 is 4/464406

Least Common Multiple of 493,942 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 493,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,942) = 1

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

GCF(493,942) x common factors =1 x 1 = 1

LCM(493,942) = ( 493 × 942 ) / 1

LCM(493,942) = 464406 / 1

LCM(493,942) = 464406

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FAQs on GCF of Fractions of 568/493, 980/942

1. What is the HCF of 568,980?

The HCF of 568,980 is 4

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 568/493, 980/942?

Answer: GCF of Numerators as per given numbers 568/493, 980/942 is

GCF of Numerators i.e. for 568,980 is 4

LCM of denominators i.e. for 493,942 is 464406.

Thus, GCF of Fractions is 4/464406.Finally, GCF of Fractions for 568/493, 980/942 is 4/464406.