How to Find GCF of 980/83, 564/629?

GCF of 980/83, 564/629

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 980/83, 564/629 i.e 4/52207 easily. The following is the detailed procedure to determine the greatest common factor of fractions 980/83, 564/629.

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 980/83,564/629?

Given fractions are 980/83,564/629

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 980/83,564/629, numerators are 980,564

Denominators are 83,629

The GCF of 980,564 is 4 .

LCM of 83,629 is 52207.

The greatest common factor of 980/83,564/629 = [GCF of 980,564]/[LCM of 83,629]= 4/52207

Therefore, the GCF of 980/83,564/629 is 4/52207.

Greatest Common Factor of 980,564

To find the highest common factor of 980,564, 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 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

The HCF of 980,564 is 4.

Lets's calculate GCF of 980,564

Greatest Common Factor (GCF) of 980,564 By Common Division

2	980, 564
2	490, 282
	245, 141

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

Greatest Common Factor of 980,564 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 564

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 980,564 . The biggest common factor number is the GCF number.
So the greatest common factor 980,564 is 4.

Lets's calculate LCM of 83,629

Lowest Common Multiple of 83,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 52207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/52207

Therefore, the GCF of Fractions 980/83,564/629 is 4/52207

Least Common Multiple of 83,629 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 83,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,629) = 1

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

GCF(83,629) x common factors =1 x 1 = 1

LCM(83,629) = ( 83 × 629 ) / 1

LCM(83,629) = 52207 / 1

LCM(83,629) = 52207

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FAQs on GCF of Fractions of 980/83, 564/629

1. What is the HCF of 980,564?

The HCF of 980,564 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 980/83, 564/629?

Answer: GCF of Numerators as per given numbers 980/83, 564/629 is

GCF of Numerators i.e. for 980,564 is 4

LCM of denominators i.e. for 83,629 is 52207.

Thus, GCF of Fractions is 4/52207.Finally, GCF of Fractions for 980/83, 564/629 is 4/52207.