How to Find GCF of 1954/718, 6805/5449?

GCF of 1954/718, 6805/5449

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 1954/718, 6805/5449 i.e 1/3912382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1954/718, 6805/5449.

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 1954/718,6805/5449?

Given fractions are 1954/718,6805/5449

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 1954/718,6805/5449, numerators are 1954,6805

Denominators are 718,5449

The GCF of 1954,6805 is 1 .

LCM of 718,5449 is 3912382.

The greatest common factor of 1954/718,6805/5449 = [GCF of 1954,6805]/[LCM of 718,5449]= 1/3912382

Therefore, the GCF of 1954/718,6805/5449 is 1/3912382.

Greatest Common Factor of 1954,6805

To find the highest common factor of 1954,6805, we have to find the factors of both numbers and list the highest common factor.

The factors of 1954 are 1, 2, 977, 1954

The factors of 6805 are 1, 5, 1361, 6805

The HCF of 1954,6805 is 1.

Lets's calculate GCF of 1954,6805

Greatest Common Factor (GCF) of 1954,6805 By Common Division

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

Greatest Common Factor of 1954,6805 By Matching Biggest Common Factor Method

Now, list down the factors of 1954

1,2,977,1954

Now, list down the factors of 6805

1,5,1361,6805

Greatest Common Factor

We found the factors 1954,6805 . The biggest common factor number is the GCF number.
So the greatest common factor 1954,6805 is 1.

Lets's calculate LCM of 718,5449

Lowest Common Multiple of 718,5449 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3912382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3912382

Therefore, the GCF of Fractions 1954/718,6805/5449 is 1/3912382

Least Common Multiple of 718,5449 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 718,5449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,5449) = 1

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

GCF(718,5449) x common factors =1 x 1 = 1

LCM(718,5449) = ( 718 × 5449 ) / 1

LCM(718,5449) = 3912382 / 1

LCM(718,5449) = 3912382

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1954/718, 6805/5449

1. What is the HCF of 1954,6805?

The HCF of 1954,6805 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 1954/718, 6805/5449?

Answer: GCF of Numerators as per given numbers 1954/718, 6805/5449 is

GCF of Numerators i.e. for 1954,6805 is 1

LCM of denominators i.e. for 718,5449 is 3912382.

Thus, GCF of Fractions is 1/3912382.Finally, GCF of Fractions for 1954/718, 6805/5449 is 1/3912382.