How to Find GCF of 4156/592, 9841/1674?

GCF of 4156/592, 9841/1674

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 4156/592, 9841/1674 i.e 1/495504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4156/592, 9841/1674.

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 4156/592,9841/1674?

Given fractions are 4156/592,9841/1674

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 4156/592,9841/1674, numerators are 4156,9841

Denominators are 592,1674

The GCF of 4156,9841 is 1 .

LCM of 592,1674 is 495504.

The greatest common factor of 4156/592,9841/1674 = [GCF of 4156,9841]/[LCM of 592,1674]= 1/495504

Therefore, the GCF of 4156/592,9841/1674 is 1/495504.

Greatest Common Factor of 4156,9841

To find the highest common factor of 4156,9841, we have to find the factors of both numbers and list the highest common factor.

The factors of 4156 are 1, 2, 4, 1039, 2078, 4156

The factors of 9841 are 1, 13, 757, 9841

The HCF of 4156,9841 is 1.

Lets's calculate GCF of 4156,9841

Greatest Common Factor (GCF) of 4156,9841 By Common Division

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

Greatest Common Factor of 4156,9841 By Matching Biggest Common Factor Method

Now, list down the factors of 4156

1,2,4,1039,2078,4156

Now, list down the factors of 9841

1,13,757,9841

Greatest Common Factor

We found the factors 4156,9841 . The biggest common factor number is the GCF number.
So the greatest common factor 4156,9841 is 1.

Lets's calculate LCM of 592,1674

Lowest Common Multiple of 592,1674 using Common Division

2	592, 1674
	296, 837

∴ So the LCM of the given numbers is 2 x 296 x 837 = 495504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495504

Therefore, the GCF of Fractions 4156/592,9841/1674 is 1/495504

Least Common Multiple of 592,1674 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 592,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,1674) = 2

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

GCF(592,1674) x common factors =2 x 1 = 2

LCM(592,1674) = ( 592 × 1674 ) / 2

LCM(592,1674) = 991008 / 2

LCM(592,1674) = 495504

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FAQs on GCF of Fractions of 4156/592, 9841/1674

1. What is the HCF of 4156,9841?

The HCF of 4156,9841 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 4156/592, 9841/1674?

Answer: GCF of Numerators as per given numbers 4156/592, 9841/1674 is

GCF of Numerators i.e. for 4156,9841 is 1

LCM of denominators i.e. for 592,1674 is 495504.

Thus, GCF of Fractions is 1/495504.Finally, GCF of Fractions for 4156/592, 9841/1674 is 1/495504.