How to Find GCF of 1042/391, 4135/1476?

GCF of 1042/391, 4135/1476

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 1042/391, 4135/1476 i.e 1/577116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1042/391, 4135/1476.

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 1042/391,4135/1476?

Given fractions are 1042/391,4135/1476

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 1042/391,4135/1476, numerators are 1042,4135

Denominators are 391,1476

The GCF of 1042,4135 is 1 .

LCM of 391,1476 is 577116.

The greatest common factor of 1042/391,4135/1476 = [GCF of 1042,4135]/[LCM of 391,1476]= 1/577116

Therefore, the GCF of 1042/391,4135/1476 is 1/577116.

Greatest Common Factor of 1042,4135

To find the highest common factor of 1042,4135, we have to find the factors of both numbers and list the highest common factor.

The factors of 1042 are 1, 2, 521, 1042

The factors of 4135 are 1, 5, 827, 4135

The HCF of 1042,4135 is 1.

Lets's calculate GCF of 1042,4135

Greatest Common Factor (GCF) of 1042,4135 By Common Division

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

Greatest Common Factor of 1042,4135 By Matching Biggest Common Factor Method

Now, list down the factors of 1042

1,2,521,1042

Now, list down the factors of 4135

1,5,827,4135

Greatest Common Factor

We found the factors 1042,4135 . The biggest common factor number is the GCF number.
So the greatest common factor 1042,4135 is 1.

Lets's calculate LCM of 391,1476

Lowest Common Multiple of 391,1476 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 577116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577116

Therefore, the GCF of Fractions 1042/391,4135/1476 is 1/577116

Least Common Multiple of 391,1476 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 391,1476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,1476) = 1

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

GCF(391,1476) x common factors =1 x 1 = 1

LCM(391,1476) = ( 391 × 1476 ) / 1

LCM(391,1476) = 577116 / 1

LCM(391,1476) = 577116

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FAQs on GCF of Fractions of 1042/391, 4135/1476

1. What is the HCF of 1042,4135?

The HCF of 1042,4135 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 1042/391, 4135/1476?

Answer: GCF of Numerators as per given numbers 1042/391, 4135/1476 is

GCF of Numerators i.e. for 1042,4135 is 1

LCM of denominators i.e. for 391,1476 is 577116.

Thus, GCF of Fractions is 1/577116.Finally, GCF of Fractions for 1042/391, 4135/1476 is 1/577116.