LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 8578/648, 1471/379

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 8578/648, 1471/379 i.e 1/245592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8578/648, 1471/379.

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 8578/648,1471/379?

Given fractions are 8578/648,1471/379

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 8578/648,1471/379, numerators are 8578,1471

Denominators are 648,379

The GCF of 8578,1471 is 1 .

LCM of 648,379 is 245592.

The greatest common factor of 8578/648,1471/379 = [GCF of 8578,1471]/[LCM of 648,379]= 1/245592

Therefore, the GCF of 8578/648,1471/379 is 1/245592.

Greatest Common Factor of 8578,1471

To find the highest common factor of 8578,1471, we have to find the factors of both numbers and list the highest common factor.

The factors of 8578 are 1, 2, 4289, 8578

The factors of 1471 are 1, 1471

The HCF of 8578,1471 is 1.

Lets's calculate GCF of 8578,1471

Greatest Common Factor (GCF) of 8578,1471 By Common Division

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

Greatest Common Factor of 8578,1471 By Matching Biggest Common Factor Method

Greatest Common Factor of 8578,1471 By Matching Biggest Common Factor Method

Now, list down the factors of 8578

:

1,2,4289,8578

Now, list down the factors of 1471

:

1,1471

Greatest Common Factor

We found the factors 8578,1471 . The biggest common factor number is the GCF number.
So the greatest common factor 8578,1471 is 1.

Lets's calculate LCM of 648,379

Lowest Common Multiple of 648,379 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 245592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245592

Therefore, the GCF of Fractions 8578/648,1471/379 is 1/245592

Least Common Multiple of 648,379 with GCF Formula

Least Common Multiple of 648,379 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 648,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,379) = 1

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

GCF(648,379) x common factors =1 x 1 = 1

LCM(648,379) = ( 648 × 379 ) / 1

LCM(648,379) = 245592 / 1

LCM(648,379) = 245592


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8578/648, 1471/379

1. What is the HCF of 8578,1471?

The HCF of 8578,1471 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 8578/648, 1471/379?

Answer: GCF of Numerators as per given numbers 8578/648, 1471/379 is

GCF of Numerators i.e. for 8578,1471 is 1

LCM of denominators i.e. for 648,379 is 245592.

Thus, GCF of Fractions is 1/245592.Finally, GCF of Fractions for 8578/648, 1471/379 is 1/245592.