How to Find GCF of 980/556, 641/576?

GCF of 980/556, 641/576

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 980/556, 641/576 i.e 1/80064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/556, 641/576.

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 980/556,641/576?

Given fractions are 980/556,641/576

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 980/556,641/576, numerators are 980,641

Denominators are 556,576

The GCF of 980,641 is 1 .

LCM of 556,576 is 80064.

The greatest common factor of 980/556,641/576 = [GCF of 980,641]/[LCM of 556,576]= 1/80064

Therefore, the GCF of 980/556,641/576 is 1/80064.

Greatest Common Factor of 980,641

To find the highest common factor of 980,641, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 641 are 1, 641

The HCF of 980,641 is 1.

Lets's calculate GCF of 980,641

Greatest Common Factor (GCF) of 980,641 By Common Division

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

Greatest Common Factor of 980,641 By Matching Biggest Common Factor Method

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

Now, list down the factors of 641

1,641

Greatest Common Factor

We found the factors 980,641 . The biggest common factor number is the GCF number.
So the greatest common factor 980,641 is 1.

Lets's calculate LCM of 556,576

Lowest Common Multiple of 556,576 using Common Division

2	556, 576
2	278, 288
	139, 144

∴ So the LCM of the given numbers is 2 x 2 x 139 x 144 = 80064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80064

Therefore, the GCF of Fractions 980/556,641/576 is 1/80064

Least Common Multiple of 556,576 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 556,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,576) = 4

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

GCF(556,576) x common factors =4 x 1 = 4

LCM(556,576) = ( 556 × 576 ) / 4

LCM(556,576) = 320256 / 4

LCM(556,576) = 80064

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FAQs on GCF of Fractions of 980/556, 641/576

1. What is the HCF of 980,641?

The HCF of 980,641 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 980/556, 641/576?

Answer: GCF of Numerators as per given numbers 980/556, 641/576 is

GCF of Numerators i.e. for 980,641 is 1

LCM of denominators i.e. for 556,576 is 80064.

Thus, GCF of Fractions is 1/80064.Finally, GCF of Fractions for 980/556, 641/576 is 1/80064.