How to Find GCF of 6777/592, 8053/5250?

GCF of 6777/592, 8053/5250

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 6777/592, 8053/5250 i.e 1/1554000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6777/592, 8053/5250.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6777/592,8053/5250?

Given fractions are 6777/592,8053/5250

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 6777/592,8053/5250, numerators are 6777,8053

Denominators are 592,5250

The GCF of 6777,8053 is 1 .

LCM of 592,5250 is 1554000.

The greatest common factor of 6777/592,8053/5250 = [GCF of 6777,8053]/[LCM of 592,5250]= 1/1554000

Therefore, the GCF of 6777/592,8053/5250 is 1/1554000.

Greatest Common Factor of 6777,8053

To find the highest common factor of 6777,8053, we have to find the factors of both numbers and list the highest common factor.

The factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777

The factors of 8053 are 1, 8053

The HCF of 6777,8053 is 1.

Lets's calculate GCF of 6777,8053

Greatest Common Factor (GCF) of 6777,8053 By Common Division

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

Greatest Common Factor of 6777,8053 By Matching Biggest Common Factor Method

Now, list down the factors of 6777

1,3,9,27,251,753,2259,6777

Now, list down the factors of 8053

1,8053

Greatest Common Factor

We found the factors 6777,8053 . The biggest common factor number is the GCF number.
So the greatest common factor 6777,8053 is 1.

Lets's calculate LCM of 592,5250

Lowest Common Multiple of 592,5250 using Common Division

2	592, 5250
	296, 2625

∴ So the LCM of the given numbers is 2 x 296 x 2625 = 1554000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1554000

Therefore, the GCF of Fractions 6777/592,8053/5250 is 1/1554000

Least Common Multiple of 592,5250 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 592,5250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,5250) = 2

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

GCF(592,5250) x common factors =2 x 1 = 2

LCM(592,5250) = ( 592 × 5250 ) / 2

LCM(592,5250) = 3108000 / 2

LCM(592,5250) = 1554000

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FAQs on GCF of Fractions of 6777/592, 8053/5250

1. What is the HCF of 6777,8053?

The HCF of 6777,8053 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 6777/592, 8053/5250?

Answer: GCF of Numerators as per given numbers 6777/592, 8053/5250 is

GCF of Numerators i.e. for 6777,8053 is 1

LCM of denominators i.e. for 592,5250 is 1554000.

Thus, GCF of Fractions is 1/1554000.Finally, GCF of Fractions for 6777/592, 8053/5250 is 1/1554000.