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GCF of 8123/423, 1427/1654

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 8123/423, 1427/1654 i.e 1/699642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8123/423, 1427/1654.

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 8123/423,1427/1654?

Given fractions are 8123/423,1427/1654

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 8123/423,1427/1654, numerators are 8123,1427

Denominators are 423,1654

The GCF of 8123,1427 is 1 .

LCM of 423,1654 is 699642.

The greatest common factor of 8123/423,1427/1654 = [GCF of 8123,1427]/[LCM of 423,1654]= 1/699642

Therefore, the GCF of 8123/423,1427/1654 is 1/699642.

Greatest Common Factor of 8123,1427

To find the highest common factor of 8123,1427, we have to find the factors of both numbers and list the highest common factor.

The factors of 8123 are 1, 8123

The factors of 1427 are 1, 1427

The HCF of 8123,1427 is 1.

Lets's calculate GCF of 8123,1427

Greatest Common Factor (GCF) of 8123,1427 By Common Division

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

Greatest Common Factor of 8123,1427 By Matching Biggest Common Factor Method

Greatest Common Factor of 8123,1427 By Matching Biggest Common Factor Method

Now, list down the factors of 8123

:

1,8123

Now, list down the factors of 1427

:

1,1427

Greatest Common Factor

We found the factors 8123,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 8123,1427 is 1.

Lets's calculate LCM of 423,1654

Lowest Common Multiple of 423,1654 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 699642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/699642

Therefore, the GCF of Fractions 8123/423,1427/1654 is 1/699642

Least Common Multiple of 423,1654 with GCF Formula

Least Common Multiple of 423,1654 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 423,1654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,1654) = 1

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

GCF(423,1654) x common factors =1 x 1 = 1

LCM(423,1654) = ( 423 × 1654 ) / 1

LCM(423,1654) = 699642 / 1

LCM(423,1654) = 699642


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FAQs on GCF of Fractions of 8123/423, 1427/1654

1. What is the HCF of 8123,1427?

The HCF of 8123,1427 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 8123/423, 1427/1654?

Answer: GCF of Numerators as per given numbers 8123/423, 1427/1654 is

GCF of Numerators i.e. for 8123,1427 is 1

LCM of denominators i.e. for 423,1654 is 699642.

Thus, GCF of Fractions is 1/699642.Finally, GCF of Fractions for 8123/423, 1427/1654 is 1/699642.