How to Find GCF of 998/25, 638/22, 119/61?

GCF of 998/25, 638/22, 119/61

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 998/25, 638/22, 119/61 i.e 1/33550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/25, 638/22, 119/61.

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 998/25,638/22,119/61?

Given fractions are 998/25,638/22,119/61

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 998/25,638/22,119/61, numerators are 998,638,119

Denominators are 25,22,61

The GCF of 998,638,119 is 1 .

LCM of 25,22,61 is 33550.

The greatest common factor of 998/25,638/22,119/61 = [GCF of 998,638,119]/[LCM of 25,22,61]= 1/33550

Therefore, the GCF of 998/25,638/22,119/61 is 1/33550.

Greatest Common Factor of 998,638,119

To find the highest common factor of 998,638,119, we have to find the factors of both numbers and list the highest common factor.

The factors of 998 are 1, 2, 499, 998

The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638

The factors of 119 are 1, 7, 17, 119

The HCF of 998,638,119 is 1.

Lets's calculate GCF of 998,638,119

Greatest Common Factor (GCF) of 998,638,119 By Common Division

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

Greatest Common Factor of 998,638,119 By Matching Biggest Common Factor Method

Now, list down the factors of 998

1,2,499,998

Now, list down the factors of 638

1,2,11,22,29,58,319,638

Now, list down the factors of 119

1,7,17,119

Greatest Common Factor

We found the factors 998,638,119 . The biggest common factor number is the GCF number.
So the greatest common factor 998,638,119 is 1.

Lets's calculate LCM of 25,22,61

Lowest Common Multiple of 25,22,61 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 33550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33550

Therefore, the GCF of Fractions 998/25,638/22,119/61 is 1/33550

Least Common Multiple of 25,22,61 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 25,22,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,22,61) = 1

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

GCF(25,22,61) x common factors =1 x 1 = 1

LCM(25,22,61) = ( 25 × 22 × 61 ) / 1

LCM(25,22,61) = 33550 / 1

LCM(25,22,61) = 33550

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FAQs on GCF of Fractions of 998/25, 638/22, 119/61

1. What is the HCF of 998,638,119?

The HCF of 998,638,119 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 998/25, 638/22, 119/61?

Answer: GCF of Numerators as per given numbers 998/25, 638/22, 119/61 is

GCF of Numerators i.e. for 998,638,119 is 1

LCM of denominators i.e. for 25,22,61 is 33550.

Thus, GCF of Fractions is 1/33550.Finally, GCF of Fractions for 998/25, 638/22, 119/61 is 1/33550.