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GCF of 8523/835, 6221/8144

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 8523/835, 6221/8144 i.e 1/6800240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8523/835, 6221/8144.

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 8523/835,6221/8144?

Given fractions are 8523/835,6221/8144

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 8523/835,6221/8144, numerators are 8523,6221

Denominators are 835,8144

The GCF of 8523,6221 is 1 .

LCM of 835,8144 is 6800240.

The greatest common factor of 8523/835,6221/8144 = [GCF of 8523,6221]/[LCM of 835,8144]= 1/6800240

Therefore, the GCF of 8523/835,6221/8144 is 1/6800240.

Greatest Common Factor of 8523,6221

To find the highest common factor of 8523,6221, we have to find the factors of both numbers and list the highest common factor.

The factors of 8523 are 1, 3, 9, 947, 2841, 8523

The factors of 6221 are 1, 6221

The HCF of 8523,6221 is 1.

Lets's calculate GCF of 8523,6221

Greatest Common Factor (GCF) of 8523,6221 By Common Division

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

Greatest Common Factor of 8523,6221 By Matching Biggest Common Factor Method

Greatest Common Factor of 8523,6221 By Matching Biggest Common Factor Method

Now, list down the factors of 8523

:

1,3,9,947,2841,8523

Now, list down the factors of 6221

:

1,6221

Greatest Common Factor

We found the factors 8523,6221 . The biggest common factor number is the GCF number.
So the greatest common factor 8523,6221 is 1.

Lets's calculate LCM of 835,8144

Lowest Common Multiple of 835,8144 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6800240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6800240

Therefore, the GCF of Fractions 8523/835,6221/8144 is 1/6800240

Least Common Multiple of 835,8144 with GCF Formula

Least Common Multiple of 835,8144 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 835,8144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,8144) = 1

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

GCF(835,8144) x common factors =1 x 1 = 1

LCM(835,8144) = ( 835 × 8144 ) / 1

LCM(835,8144) = 6800240 / 1

LCM(835,8144) = 6800240


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8523/835, 6221/8144

1. What is the HCF of 8523,6221?

The HCF of 8523,6221 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 8523/835, 6221/8144?

Answer: GCF of Numerators as per given numbers 8523/835, 6221/8144 is

GCF of Numerators i.e. for 8523,6221 is 1

LCM of denominators i.e. for 835,8144 is 6800240.

Thus, GCF of Fractions is 1/6800240.Finally, GCF of Fractions for 8523/835, 6221/8144 is 1/6800240.