How to Find GCF of 1986/867, 1574/623?

GCF of 1986/867, 1574/623

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 1986/867, 1574/623 i.e 2/540141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1986/867, 1574/623.

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 1986/867,1574/623?

Given fractions are 1986/867,1574/623

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 1986/867,1574/623, numerators are 1986,1574

Denominators are 867,623

The GCF of 1986,1574 is 2 .

LCM of 867,623 is 540141.

The greatest common factor of 1986/867,1574/623 = [GCF of 1986,1574]/[LCM of 867,623]= 2/540141

Therefore, the GCF of 1986/867,1574/623 is 2/540141.

Greatest Common Factor of 1986,1574

To find the highest common factor of 1986,1574, we have to find the factors of both numbers and list the highest common factor.

The factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986

The factors of 1574 are 1, 2, 787, 1574

The HCF of 1986,1574 is 2.

Lets's calculate GCF of 1986,1574

Greatest Common Factor (GCF) of 1986,1574 By Common Division

2	1986, 1574
	993, 787

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1986,1574 By Matching Biggest Common Factor Method

Now, list down the factors of 1986

1,2,3,6,331,662,993,1986

Now, list down the factors of 1574

1,2,787,1574

Greatest Common Factor

We found the factors 1986,1574 . The biggest common factor number is the GCF number.
So the greatest common factor 1986,1574 is 2.

Lets's calculate LCM of 867,623

Lowest Common Multiple of 867,623 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 540141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/540141

Therefore, the GCF of Fractions 1986/867,1574/623 is 2/540141

Least Common Multiple of 867,623 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 867,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,623) = 1

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

GCF(867,623) x common factors =1 x 1 = 1

LCM(867,623) = ( 867 × 623 ) / 1

LCM(867,623) = 540141 / 1

LCM(867,623) = 540141

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1986/867, 1574/623

1. What is the HCF of 1986,1574?

The HCF of 1986,1574 is 2

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 1986/867, 1574/623?

Answer: GCF of Numerators as per given numbers 1986/867, 1574/623 is

GCF of Numerators i.e. for 1986,1574 is 2

LCM of denominators i.e. for 867,623 is 540141.

Thus, GCF of Fractions is 2/540141.Finally, GCF of Fractions for 1986/867, 1574/623 is 2/540141.