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GCF of 7823/146, 1465/8034

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 7823/146, 1465/8034 i.e 1/586482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7823/146, 1465/8034.

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 7823/146,1465/8034?

Given fractions are 7823/146,1465/8034

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 7823/146,1465/8034, numerators are 7823,1465

Denominators are 146,8034

The GCF of 7823,1465 is 1 .

LCM of 146,8034 is 586482.

The greatest common factor of 7823/146,1465/8034 = [GCF of 7823,1465]/[LCM of 146,8034]= 1/586482

Therefore, the GCF of 7823/146,1465/8034 is 1/586482.

Greatest Common Factor of 7823,1465

To find the highest common factor of 7823,1465, we have to find the factors of both numbers and list the highest common factor.

The factors of 7823 are 1, 7823

The factors of 1465 are 1, 5, 293, 1465

The HCF of 7823,1465 is 1.

Lets's calculate GCF of 7823,1465

Greatest Common Factor (GCF) of 7823,1465 By Common Division

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

Greatest Common Factor of 7823,1465 By Matching Biggest Common Factor Method

Greatest Common Factor of 7823,1465 By Matching Biggest Common Factor Method

Now, list down the factors of 7823

:

1,7823

Now, list down the factors of 1465

:

1,5,293,1465

Greatest Common Factor

We found the factors 7823,1465 . The biggest common factor number is the GCF number.
So the greatest common factor 7823,1465 is 1.

Lets's calculate LCM of 146,8034

Lowest Common Multiple of 146,8034 using Common Division

2 146, 8034
73, 4017

∴ So the LCM of the given numbers is 2 x 73 x 4017 = 586482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586482

Therefore, the GCF of Fractions 7823/146,1465/8034 is 1/586482

Least Common Multiple of 146,8034 with GCF Formula

Least Common Multiple of 146,8034 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 146,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,8034) = 2

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

GCF(146,8034) x common factors =2 x 1 = 2

LCM(146,8034) = ( 146 × 8034 ) / 2

LCM(146,8034) = 1172964 / 2

LCM(146,8034) = 586482


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FAQs on GCF of Fractions of 7823/146, 1465/8034

1. What is the HCF of 7823,1465?

The HCF of 7823,1465 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 7823/146, 1465/8034?

Answer: GCF of Numerators as per given numbers 7823/146, 1465/8034 is

GCF of Numerators i.e. for 7823,1465 is 1

LCM of denominators i.e. for 146,8034 is 586482.

Thus, GCF of Fractions is 1/586482.Finally, GCF of Fractions for 7823/146, 1465/8034 is 1/586482.