How to Find GCF of 1442/882, 3911/8126?

GCF of 1442/882, 3911/8126

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 1442/882, 3911/8126 i.e 1/3583566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1442/882, 3911/8126.

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 1442/882,3911/8126?

Given fractions are 1442/882,3911/8126

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 1442/882,3911/8126, numerators are 1442,3911

Denominators are 882,8126

The GCF of 1442,3911 is 1 .

LCM of 882,8126 is 3583566.

The greatest common factor of 1442/882,3911/8126 = [GCF of 1442,3911]/[LCM of 882,8126]= 1/3583566

Therefore, the GCF of 1442/882,3911/8126 is 1/3583566.

Greatest Common Factor of 1442,3911

To find the highest common factor of 1442,3911, we have to find the factors of both numbers and list the highest common factor.

The factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442

The factors of 3911 are 1, 3911

The HCF of 1442,3911 is 1.

Lets's calculate GCF of 1442,3911

Greatest Common Factor (GCF) of 1442,3911 By Common Division

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

Greatest Common Factor of 1442,3911 By Matching Biggest Common Factor Method

Now, list down the factors of 1442

1,2,7,14,103,206,721,1442

Now, list down the factors of 3911

1,3911

Greatest Common Factor

We found the factors 1442,3911 . The biggest common factor number is the GCF number.
So the greatest common factor 1442,3911 is 1.

Lets's calculate LCM of 882,8126

Lowest Common Multiple of 882,8126 using Common Division

2	882, 8126
	441, 4063

∴ So the LCM of the given numbers is 2 x 441 x 4063 = 3583566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3583566

Therefore, the GCF of Fractions 1442/882,3911/8126 is 1/3583566

Least Common Multiple of 882,8126 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 882,8126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,8126) = 2

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

GCF(882,8126) x common factors =2 x 1 = 2

LCM(882,8126) = ( 882 × 8126 ) / 2

LCM(882,8126) = 7167132 / 2

LCM(882,8126) = 3583566

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FAQs on GCF of Fractions of 1442/882, 3911/8126

1. What is the HCF of 1442,3911?

The HCF of 1442,3911 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 1442/882, 3911/8126?

Answer: GCF of Numerators as per given numbers 1442/882, 3911/8126 is

GCF of Numerators i.e. for 1442,3911 is 1

LCM of denominators i.e. for 882,8126 is 3583566.

Thus, GCF of Fractions is 1/3583566.Finally, GCF of Fractions for 1442/882, 3911/8126 is 1/3583566.