How to Find GCF of 1685/866, 5881/3530?

GCF of 1685/866, 5881/3530

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 1685/866, 5881/3530 i.e 1/1528490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1685/866, 5881/3530.

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 1685/866,5881/3530?

Given fractions are 1685/866,5881/3530

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 1685/866,5881/3530, numerators are 1685,5881

Denominators are 866,3530

The GCF of 1685,5881 is 1 .

LCM of 866,3530 is 1528490.

The greatest common factor of 1685/866,5881/3530 = [GCF of 1685,5881]/[LCM of 866,3530]= 1/1528490

Therefore, the GCF of 1685/866,5881/3530 is 1/1528490.

Greatest Common Factor of 1685,5881

To find the highest common factor of 1685,5881, we have to find the factors of both numbers and list the highest common factor.

The factors of 1685 are 1, 5, 337, 1685

The factors of 5881 are 1, 5881

The HCF of 1685,5881 is 1.

Lets's calculate GCF of 1685,5881

Greatest Common Factor (GCF) of 1685,5881 By Common Division

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

Greatest Common Factor of 1685,5881 By Matching Biggest Common Factor Method

Now, list down the factors of 1685

1,5,337,1685

Now, list down the factors of 5881

1,5881

Greatest Common Factor

We found the factors 1685,5881 . The biggest common factor number is the GCF number.
So the greatest common factor 1685,5881 is 1.

Lets's calculate LCM of 866,3530

Lowest Common Multiple of 866,3530 using Common Division

2	866, 3530
	433, 1765

∴ So the LCM of the given numbers is 2 x 433 x 1765 = 1528490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1528490

Therefore, the GCF of Fractions 1685/866,5881/3530 is 1/1528490

Least Common Multiple of 866,3530 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 866,3530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,3530) = 2

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

GCF(866,3530) x common factors =2 x 1 = 2

LCM(866,3530) = ( 866 × 3530 ) / 2

LCM(866,3530) = 3056980 / 2

LCM(866,3530) = 1528490

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FAQs on GCF of Fractions of 1685/866, 5881/3530

1. What is the HCF of 1685,5881?

The HCF of 1685,5881 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 1685/866, 5881/3530?

Answer: GCF of Numerators as per given numbers 1685/866, 5881/3530 is

GCF of Numerators i.e. for 1685,5881 is 1

LCM of denominators i.e. for 866,3530 is 1528490.

Thus, GCF of Fractions is 1/1528490.Finally, GCF of Fractions for 1685/866, 5881/3530 is 1/1528490.