How to Find GCF of 6881/983, 3454/582?

GCF of 6881/983, 3454/582

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 6881/983, 3454/582 i.e 1/572106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6881/983, 3454/582.

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 6881/983,3454/582?

Given fractions are 6881/983,3454/582

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 6881/983,3454/582, numerators are 6881,3454

Denominators are 983,582

The GCF of 6881,3454 is 1 .

LCM of 983,582 is 572106.

The greatest common factor of 6881/983,3454/582 = [GCF of 6881,3454]/[LCM of 983,582]= 1/572106

Therefore, the GCF of 6881/983,3454/582 is 1/572106.

Greatest Common Factor of 6881,3454

To find the highest common factor of 6881,3454, we have to find the factors of both numbers and list the highest common factor.

The factors of 6881 are 1, 7, 983, 6881

The factors of 3454 are 1, 2, 11, 22, 157, 314, 1727, 3454

The HCF of 6881,3454 is 1.

Lets's calculate GCF of 6881,3454

Greatest Common Factor (GCF) of 6881,3454 By Common Division

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

Greatest Common Factor of 6881,3454 By Matching Biggest Common Factor Method

Now, list down the factors of 6881

1,7,983,6881

Now, list down the factors of 3454

1,2,11,22,157,314,1727,3454

Greatest Common Factor

We found the factors 6881,3454 . The biggest common factor number is the GCF number.
So the greatest common factor 6881,3454 is 1.

Lets's calculate LCM of 983,582

Lowest Common Multiple of 983,582 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 572106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572106

Therefore, the GCF of Fractions 6881/983,3454/582 is 1/572106

Least Common Multiple of 983,582 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 983,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,582) = 1

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

GCF(983,582) x common factors =1 x 1 = 1

LCM(983,582) = ( 983 × 582 ) / 1

LCM(983,582) = 572106 / 1

LCM(983,582) = 572106

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6881/983, 3454/582

1. What is the HCF of 6881,3454?

The HCF of 6881,3454 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 6881/983, 3454/582?

Answer: GCF of Numerators as per given numbers 6881/983, 3454/582 is

GCF of Numerators i.e. for 6881,3454 is 1

LCM of denominators i.e. for 983,582 is 572106.

Thus, GCF of Fractions is 1/572106.Finally, GCF of Fractions for 6881/983, 3454/582 is 1/572106.