How to Find GCF of 5268/794, 4051/6821?

GCF of 5268/794, 4051/6821

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 5268/794, 4051/6821 i.e 1/5415874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5268/794, 4051/6821.

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 5268/794,4051/6821?

Given fractions are 5268/794,4051/6821

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 5268/794,4051/6821, numerators are 5268,4051

Denominators are 794,6821

The GCF of 5268,4051 is 1 .

LCM of 794,6821 is 5415874.

The greatest common factor of 5268/794,4051/6821 = [GCF of 5268,4051]/[LCM of 794,6821]= 1/5415874

Therefore, the GCF of 5268/794,4051/6821 is 1/5415874.

Greatest Common Factor of 5268,4051

To find the highest common factor of 5268,4051, we have to find the factors of both numbers and list the highest common factor.

The factors of 5268 are 1, 2, 3, 4, 6, 12, 439, 878, 1317, 1756, 2634, 5268

The factors of 4051 are 1, 4051

The HCF of 5268,4051 is 1.

Lets's calculate GCF of 5268,4051

Greatest Common Factor (GCF) of 5268,4051 By Common Division

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

Greatest Common Factor of 5268,4051 By Matching Biggest Common Factor Method

Now, list down the factors of 5268

1,2,3,4,6,12,439,878,1317,1756,2634,5268

Now, list down the factors of 4051

1,4051

Greatest Common Factor

We found the factors 5268,4051 . The biggest common factor number is the GCF number.
So the greatest common factor 5268,4051 is 1.

Lets's calculate LCM of 794,6821

Lowest Common Multiple of 794,6821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5415874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5415874

Therefore, the GCF of Fractions 5268/794,4051/6821 is 1/5415874

Least Common Multiple of 794,6821 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 794,6821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,6821) = 1

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

GCF(794,6821) x common factors =1 x 1 = 1

LCM(794,6821) = ( 794 × 6821 ) / 1

LCM(794,6821) = 5415874 / 1

LCM(794,6821) = 5415874

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FAQs on GCF of Fractions of 5268/794, 4051/6821

1. What is the HCF of 5268,4051?

The HCF of 5268,4051 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 5268/794, 4051/6821?

Answer: GCF of Numerators as per given numbers 5268/794, 4051/6821 is

GCF of Numerators i.e. for 5268,4051 is 1

LCM of denominators i.e. for 794,6821 is 5415874.

Thus, GCF of Fractions is 1/5415874.Finally, GCF of Fractions for 5268/794, 4051/6821 is 1/5415874.