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GCF of 423/78, 362/8038

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 423/78, 362/8038 i.e 1/313482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/78, 362/8038.

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 423/78,362/8038?

Given fractions are 423/78,362/8038

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 423/78,362/8038, numerators are 423,362

Denominators are 78,8038

The GCF of 423,362 is 1 .

LCM of 78,8038 is 313482.

The greatest common factor of 423/78,362/8038 = [GCF of 423,362]/[LCM of 78,8038]= 1/313482

Therefore, the GCF of 423/78,362/8038 is 1/313482.

Greatest Common Factor of 423,362

To find the highest common factor of 423,362, we have to find the factors of both numbers and list the highest common factor.

The factors of 423 are 1, 3, 9, 47, 141, 423

The factors of 362 are 1, 2, 181, 362

The HCF of 423,362 is 1.

Lets's calculate GCF of 423,362

Greatest Common Factor (GCF) of 423,362 By Common Division

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

Greatest Common Factor of 423,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,362 By Matching Biggest Common Factor Method

Now, list down the factors of 423

:

1,3,9,47,141,423

Now, list down the factors of 362

:

1,2,181,362

Greatest Common Factor

We found the factors 423,362 . The biggest common factor number is the GCF number.
So the greatest common factor 423,362 is 1.

Lets's calculate LCM of 78,8038

Lowest Common Multiple of 78,8038 using Common Division

2 78, 8038
39, 4019

∴ So the LCM of the given numbers is 2 x 39 x 4019 = 313482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313482

Therefore, the GCF of Fractions 423/78,362/8038 is 1/313482

Least Common Multiple of 78,8038 with GCF Formula

Least Common Multiple of 78,8038 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 78,8038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,8038) = 2

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

GCF(78,8038) x common factors =2 x 1 = 2

LCM(78,8038) = ( 78 × 8038 ) / 2

LCM(78,8038) = 626964 / 2

LCM(78,8038) = 313482


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FAQs on GCF of Fractions of 423/78, 362/8038

1. What is the HCF of 423,362?

The HCF of 423,362 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 423/78, 362/8038?

Answer: GCF of Numerators as per given numbers 423/78, 362/8038 is

GCF of Numerators i.e. for 423,362 is 1

LCM of denominators i.e. for 78,8038 is 313482.

Thus, GCF of Fractions is 1/313482.Finally, GCF of Fractions for 423/78, 362/8038 is 1/313482.