How to Find GCF of 1769/797, 6894/3943?

GCF of 1769/797, 6894/3943

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 1769/797, 6894/3943 i.e 1/3142571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1769/797, 6894/3943.

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 1769/797,6894/3943?

Given fractions are 1769/797,6894/3943

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 1769/797,6894/3943, numerators are 1769,6894

Denominators are 797,3943

The GCF of 1769,6894 is 1 .

LCM of 797,3943 is 3142571.

The greatest common factor of 1769/797,6894/3943 = [GCF of 1769,6894]/[LCM of 797,3943]= 1/3142571

Therefore, the GCF of 1769/797,6894/3943 is 1/3142571.

Greatest Common Factor of 1769,6894

To find the highest common factor of 1769,6894, we have to find the factors of both numbers and list the highest common factor.

The factors of 1769 are 1, 29, 61, 1769

The factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894

The HCF of 1769,6894 is 1.

Lets's calculate GCF of 1769,6894

Greatest Common Factor (GCF) of 1769,6894 By Common Division

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

Greatest Common Factor of 1769,6894 By Matching Biggest Common Factor Method

Now, list down the factors of 1769

1,29,61,1769

Now, list down the factors of 6894

1,2,3,6,9,18,383,766,1149,2298,3447,6894

Greatest Common Factor

We found the factors 1769,6894 . The biggest common factor number is the GCF number.
So the greatest common factor 1769,6894 is 1.

Lets's calculate LCM of 797,3943

Lowest Common Multiple of 797,3943 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3142571

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3142571

Therefore, the GCF of Fractions 1769/797,6894/3943 is 1/3142571

Least Common Multiple of 797,3943 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 797,3943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,3943) = 1

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

GCF(797,3943) x common factors =1 x 1 = 1

LCM(797,3943) = ( 797 × 3943 ) / 1

LCM(797,3943) = 3142571 / 1

LCM(797,3943) = 3142571

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1769/797, 6894/3943

1. What is the HCF of 1769,6894?

The HCF of 1769,6894 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 1769/797, 6894/3943?

Answer: GCF of Numerators as per given numbers 1769/797, 6894/3943 is

GCF of Numerators i.e. for 1769,6894 is 1

LCM of denominators i.e. for 797,3943 is 3142571.

Thus, GCF of Fractions is 1/3142571.Finally, GCF of Fractions for 1769/797, 6894/3943 is 1/3142571.