How to Find GCF of 1463/379, 5521/8922?

GCF of 1463/379, 5521/8922

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 1463/379, 5521/8922 i.e 1/3381438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1463/379, 5521/8922.

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 1463/379,5521/8922?

Given fractions are 1463/379,5521/8922

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 1463/379,5521/8922, numerators are 1463,5521

Denominators are 379,8922

The GCF of 1463,5521 is 1 .

LCM of 379,8922 is 3381438.

The greatest common factor of 1463/379,5521/8922 = [GCF of 1463,5521]/[LCM of 379,8922]= 1/3381438

Therefore, the GCF of 1463/379,5521/8922 is 1/3381438.

Greatest Common Factor of 1463,5521

To find the highest common factor of 1463,5521, we have to find the factors of both numbers and list the highest common factor.

The factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463

The factors of 5521 are 1, 5521

The HCF of 1463,5521 is 1.

Lets's calculate GCF of 1463,5521

Greatest Common Factor (GCF) of 1463,5521 By Common Division

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

Greatest Common Factor of 1463,5521 By Matching Biggest Common Factor Method

Now, list down the factors of 1463

1,7,11,19,77,133,209,1463

Now, list down the factors of 5521

1,5521

Greatest Common Factor

We found the factors 1463,5521 . The biggest common factor number is the GCF number.
So the greatest common factor 1463,5521 is 1.

Lets's calculate LCM of 379,8922

Lowest Common Multiple of 379,8922 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3381438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3381438

Therefore, the GCF of Fractions 1463/379,5521/8922 is 1/3381438

Least Common Multiple of 379,8922 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 379,8922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,8922) = 1

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

GCF(379,8922) x common factors =1 x 1 = 1

LCM(379,8922) = ( 379 × 8922 ) / 1

LCM(379,8922) = 3381438 / 1

LCM(379,8922) = 3381438

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1463/379, 5521/8922

1. What is the HCF of 1463,5521?

The HCF of 1463,5521 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 1463/379, 5521/8922?

Answer: GCF of Numerators as per given numbers 1463/379, 5521/8922 is

GCF of Numerators i.e. for 1463,5521 is 1

LCM of denominators i.e. for 379,8922 is 3381438.

Thus, GCF of Fractions is 1/3381438.Finally, GCF of Fractions for 1463/379, 5521/8922 is 1/3381438.