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GCF of 6073/826, 1567/7818

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 6073/826, 1567/7818 i.e 1/3228834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6073/826, 1567/7818.

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 6073/826,1567/7818?

Given fractions are 6073/826,1567/7818

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 6073/826,1567/7818, numerators are 6073,1567

Denominators are 826,7818

The GCF of 6073,1567 is 1 .

LCM of 826,7818 is 3228834.

The greatest common factor of 6073/826,1567/7818 = [GCF of 6073,1567]/[LCM of 826,7818]= 1/3228834

Therefore, the GCF of 6073/826,1567/7818 is 1/3228834.

Greatest Common Factor of 6073,1567

To find the highest common factor of 6073,1567, we have to find the factors of both numbers and list the highest common factor.

The factors of 6073 are 1, 6073

The factors of 1567 are 1, 1567

The HCF of 6073,1567 is 1.

Lets's calculate GCF of 6073,1567

Greatest Common Factor (GCF) of 6073,1567 By Common Division

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

Greatest Common Factor of 6073,1567 By Matching Biggest Common Factor Method

Greatest Common Factor of 6073,1567 By Matching Biggest Common Factor Method

Now, list down the factors of 6073

:

1,6073

Now, list down the factors of 1567

:

1,1567

Greatest Common Factor

We found the factors 6073,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 6073,1567 is 1.

Lets's calculate LCM of 826,7818

Lowest Common Multiple of 826,7818 using Common Division

2 826, 7818
413, 3909

∴ So the LCM of the given numbers is 2 x 413 x 3909 = 3228834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3228834

Therefore, the GCF of Fractions 6073/826,1567/7818 is 1/3228834

Least Common Multiple of 826,7818 with GCF Formula

Least Common Multiple of 826,7818 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 826,7818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,7818) = 2

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

GCF(826,7818) x common factors =2 x 1 = 2

LCM(826,7818) = ( 826 × 7818 ) / 2

LCM(826,7818) = 6457668 / 2

LCM(826,7818) = 3228834


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6073/826, 1567/7818

1. What is the HCF of 6073,1567?

The HCF of 6073,1567 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 6073/826, 1567/7818?

Answer: GCF of Numerators as per given numbers 6073/826, 1567/7818 is

GCF of Numerators i.e. for 6073,1567 is 1

LCM of denominators i.e. for 826,7818 is 3228834.

Thus, GCF of Fractions is 1/3228834.Finally, GCF of Fractions for 6073/826, 1567/7818 is 1/3228834.