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GCF of 919/40, 289/9872

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 919/40, 289/9872 i.e 1/49360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 919/40, 289/9872.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 919/40,289/9872?

Given fractions are 919/40,289/9872

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 919/40,289/9872, numerators are 919,289

Denominators are 40,9872

The GCF of 919,289 is 1 .

LCM of 40,9872 is 49360.

The greatest common factor of 919/40,289/9872 = [GCF of 919,289]/[LCM of 40,9872]= 1/49360

Therefore, the GCF of 919/40,289/9872 is 1/49360.

Greatest Common Factor of 919,289

To find the highest common factor of 919,289, we have to find the factors of both numbers and list the highest common factor.

The factors of 919 are 1, 919

The factors of 289 are 1, 17, 289

The HCF of 919,289 is 1.

Lets's calculate GCF of 919,289

Greatest Common Factor (GCF) of 919,289 By Common Division

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

Greatest Common Factor of 919,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,289 By Matching Biggest Common Factor Method

Now, list down the factors of 919

:

1,919

Now, list down the factors of 289

:

1,17,289

Greatest Common Factor

We found the factors 919,289 . The biggest common factor number is the GCF number.
So the greatest common factor 919,289 is 1.

Lets's calculate LCM of 40,9872

Lowest Common Multiple of 40,9872 using Common Division

2 40, 9872
2 20, 4936
2 10, 2468
5, 1234

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1234 = 49360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49360

Therefore, the GCF of Fractions 919/40,289/9872 is 1/49360

Least Common Multiple of 40,9872 with GCF Formula

Least Common Multiple of 40,9872 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 40,9872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,9872) = 8

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

GCF(40,9872) x common factors =8 x 1 = 8

LCM(40,9872) = ( 40 × 9872 ) / 8

LCM(40,9872) = 394880 / 8

LCM(40,9872) = 49360


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FAQs on GCF of Fractions of 919/40, 289/9872

1. What is the HCF of 919,289?

The HCF of 919,289 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 919/40, 289/9872?

Answer: GCF of Numerators as per given numbers 919/40, 289/9872 is

GCF of Numerators i.e. for 919,289 is 1

LCM of denominators i.e. for 40,9872 is 49360.

Thus, GCF of Fractions is 1/49360.Finally, GCF of Fractions for 919/40, 289/9872 is 1/49360.