How to Find GCF of 19/35, 836/24, 982/281?

GCF of 19/35, 836/24, 982/281

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 19/35, 836/24, 982/281 i.e 1/236040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/35, 836/24, 982/281.

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 19/35,836/24,982/281?

Given fractions are 19/35,836/24,982/281

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 19/35,836/24,982/281, numerators are 19,836,982

Denominators are 35,24,281

The GCF of 19,836,982 is 1 .

LCM of 35,24,281 is 236040.

The greatest common factor of 19/35,836/24,982/281 = [GCF of 19,836,982]/[LCM of 35,24,281]= 1/236040

Therefore, the GCF of 19/35,836/24,982/281 is 1/236040.

Greatest Common Factor of 19,836,982

To find the highest common factor of 19,836,982, we have to find the factors of both numbers and list the highest common factor.

The factors of 19 are 1, 19

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The factors of 982 are 1, 2, 491, 982

The HCF of 19,836,982 is 1.

Lets's calculate GCF of 19,836,982

Greatest Common Factor (GCF) of 19,836,982 By Common Division

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

Greatest Common Factor of 19,836,982 By Matching Biggest Common Factor Method

Now, list down the factors of 19

1,19

Now, list down the factors of 836

1,2,4,11,19,22,38,44,76,209,418,836

Now, list down the factors of 982

1,2,491,982

Greatest Common Factor

We found the factors 19,836,982 . The biggest common factor number is the GCF number.
So the greatest common factor 19,836,982 is 1.

Lets's calculate LCM of 35,24,281

Lowest Common Multiple of 35,24,281 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 236040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236040

Therefore, the GCF of Fractions 19/35,836/24,982/281 is 1/236040

Least Common Multiple of 35,24,281 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 35,24,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,24,281) = 1

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

GCF(35,24,281) x common factors =1 x 1 = 1

LCM(35,24,281) = ( 35 × 24 × 281 ) / 1

LCM(35,24,281) = 236040 / 1

LCM(35,24,281) = 236040

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 19/35, 836/24, 982/281

1. What is the HCF of 19,836,982?

The HCF of 19,836,982 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 19/35, 836/24, 982/281?

Answer: GCF of Numerators as per given numbers 19/35, 836/24, 982/281 is

GCF of Numerators i.e. for 19,836,982 is 1

LCM of denominators i.e. for 35,24,281 is 236040.

Thus, GCF of Fractions is 1/236040.Finally, GCF of Fractions for 19/35, 836/24, 982/281 is 1/236040.