How to Find GCF of 1979/561, 5290/9355?

GCF of 1979/561, 5290/9355

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 1979/561, 5290/9355 i.e 1/5248155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1979/561, 5290/9355.

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 1979/561,5290/9355?

Given fractions are 1979/561,5290/9355

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 1979/561,5290/9355, numerators are 1979,5290

Denominators are 561,9355

The GCF of 1979,5290 is 1 .

LCM of 561,9355 is 5248155.

The greatest common factor of 1979/561,5290/9355 = [GCF of 1979,5290]/[LCM of 561,9355]= 1/5248155

Therefore, the GCF of 1979/561,5290/9355 is 1/5248155.

Greatest Common Factor of 1979,5290

To find the highest common factor of 1979,5290, we have to find the factors of both numbers and list the highest common factor.

The factors of 1979 are 1, 1979

The factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290

The HCF of 1979,5290 is 1.

Lets's calculate GCF of 1979,5290

Greatest Common Factor (GCF) of 1979,5290 By Common Division

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

Greatest Common Factor of 1979,5290 By Matching Biggest Common Factor Method

Now, list down the factors of 1979

1,1979

Now, list down the factors of 5290

1,2,5,10,23,46,115,230,529,1058,2645,5290

Greatest Common Factor

We found the factors 1979,5290 . The biggest common factor number is the GCF number.
So the greatest common factor 1979,5290 is 1.

Lets's calculate LCM of 561,9355

Lowest Common Multiple of 561,9355 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5248155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5248155

Therefore, the GCF of Fractions 1979/561,5290/9355 is 1/5248155

Least Common Multiple of 561,9355 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 561,9355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,9355) = 1

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

GCF(561,9355) x common factors =1 x 1 = 1

LCM(561,9355) = ( 561 × 9355 ) / 1

LCM(561,9355) = 5248155 / 1

LCM(561,9355) = 5248155

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FAQs on GCF of Fractions of 1979/561, 5290/9355

1. What is the HCF of 1979,5290?

The HCF of 1979,5290 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 1979/561, 5290/9355?

Answer: GCF of Numerators as per given numbers 1979/561, 5290/9355 is

GCF of Numerators i.e. for 1979,5290 is 1

LCM of denominators i.e. for 561,9355 is 5248155.

Thus, GCF of Fractions is 1/5248155.Finally, GCF of Fractions for 1979/561, 5290/9355 is 1/5248155.