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GCF of 911/16, 322/5340

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 911/16, 322/5340 i.e 1/21360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/16, 322/5340.

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 911/16,322/5340?

Given fractions are 911/16,322/5340

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 911/16,322/5340, numerators are 911,322

Denominators are 16,5340

The GCF of 911,322 is 1 .

LCM of 16,5340 is 21360.

The greatest common factor of 911/16,322/5340 = [GCF of 911,322]/[LCM of 16,5340]= 1/21360

Therefore, the GCF of 911/16,322/5340 is 1/21360.

Greatest Common Factor of 911,322

To find the highest common factor of 911,322, we have to find the factors of both numbers and list the highest common factor.

The factors of 911 are 1, 911

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322

The HCF of 911,322 is 1.

Lets's calculate GCF of 911,322

Greatest Common Factor (GCF) of 911,322 By Common Division

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

Greatest Common Factor of 911,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,322 By Matching Biggest Common Factor Method

Now, list down the factors of 911

:

1,911

Now, list down the factors of 322

:

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 911,322 . The biggest common factor number is the GCF number.
So the greatest common factor 911,322 is 1.

Lets's calculate LCM of 16,5340

Lowest Common Multiple of 16,5340 using Common Division

2 16, 5340
2 8, 2670
4, 1335

∴ So the LCM of the given numbers is 2 x 2 x 4 x 1335 = 21360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21360

Therefore, the GCF of Fractions 911/16,322/5340 is 1/21360

Least Common Multiple of 16,5340 with GCF Formula

Least Common Multiple of 16,5340 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 16,5340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,5340) = 4

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

GCF(16,5340) x common factors =4 x 1 = 4

LCM(16,5340) = ( 16 × 5340 ) / 4

LCM(16,5340) = 85440 / 4

LCM(16,5340) = 21360


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FAQs on GCF of Fractions of 911/16, 322/5340

1. What is the HCF of 911,322?

The HCF of 911,322 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 911/16, 322/5340?

Answer: GCF of Numerators as per given numbers 911/16, 322/5340 is

GCF of Numerators i.e. for 911,322 is 1

LCM of denominators i.e. for 16,5340 is 21360.

Thus, GCF of Fractions is 1/21360.Finally, GCF of Fractions for 911/16, 322/5340 is 1/21360.