How to Find GCF of 911/64, 384/7719?

GCF of 911/64, 384/7719

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 911/64, 384/7719 i.e 1/494016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/64, 384/7719.

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 911/64,384/7719?

Given fractions are 911/64,384/7719

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 911/64,384/7719, numerators are 911,384

Denominators are 64,7719

The GCF of 911,384 is 1 .

LCM of 64,7719 is 494016.

The greatest common factor of 911/64,384/7719 = [GCF of 911,384]/[LCM of 64,7719]= 1/494016

Therefore, the GCF of 911/64,384/7719 is 1/494016.

Greatest Common Factor of 911,384

To find the highest common factor of 911,384, 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 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

The HCF of 911,384 is 1.

Lets's calculate GCF of 911,384

Greatest Common Factor (GCF) of 911,384 By Common Division

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

Greatest Common Factor of 911,384 By Matching Biggest Common Factor Method

Now, list down the factors of 911

1,911

Now, list down the factors of 384

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 911,384 . The biggest common factor number is the GCF number.
So the greatest common factor 911,384 is 1.

Lets's calculate LCM of 64,7719

Lowest Common Multiple of 64,7719 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 494016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/494016

Therefore, the GCF of Fractions 911/64,384/7719 is 1/494016

Least Common Multiple of 64,7719 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 64,7719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,7719) = 1

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

GCF(64,7719) x common factors =1 x 1 = 1

LCM(64,7719) = ( 64 × 7719 ) / 1

LCM(64,7719) = 494016 / 1

LCM(64,7719) = 494016

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FAQs on GCF of Fractions of 911/64, 384/7719

1. What is the HCF of 911,384?

The HCF of 911,384 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 911/64, 384/7719?

Answer: GCF of Numerators as per given numbers 911/64, 384/7719 is

GCF of Numerators i.e. for 911,384 is 1

LCM of denominators i.e. for 64,7719 is 494016.

Thus, GCF of Fractions is 1/494016.Finally, GCF of Fractions for 911/64, 384/7719 is 1/494016.