How to Find GCF of 4262/398, 2673/1766?

GCF of 4262/398, 2673/1766

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 4262/398, 2673/1766 i.e 1/351434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4262/398, 2673/1766.

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 4262/398,2673/1766?

Given fractions are 4262/398,2673/1766

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 4262/398,2673/1766, numerators are 4262,2673

Denominators are 398,1766

The GCF of 4262,2673 is 1 .

LCM of 398,1766 is 351434.

The greatest common factor of 4262/398,2673/1766 = [GCF of 4262,2673]/[LCM of 398,1766]= 1/351434

Therefore, the GCF of 4262/398,2673/1766 is 1/351434.

Greatest Common Factor of 4262,2673

To find the highest common factor of 4262,2673, we have to find the factors of both numbers and list the highest common factor.

The factors of 4262 are 1, 2, 2131, 4262

The factors of 2673 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673

The HCF of 4262,2673 is 1.

Lets's calculate GCF of 4262,2673

Greatest Common Factor (GCF) of 4262,2673 By Common Division

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

Greatest Common Factor of 4262,2673 By Matching Biggest Common Factor Method

Now, list down the factors of 4262

1,2,2131,4262

Now, list down the factors of 2673

1,3,9,11,27,33,81,99,243,297,891,2673

Greatest Common Factor

We found the factors 4262,2673 . The biggest common factor number is the GCF number.
So the greatest common factor 4262,2673 is 1.

Lets's calculate LCM of 398,1766

Lowest Common Multiple of 398,1766 using Common Division

2	398, 1766
	199, 883

∴ So the LCM of the given numbers is 2 x 199 x 883 = 351434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351434

Therefore, the GCF of Fractions 4262/398,2673/1766 is 1/351434

Least Common Multiple of 398,1766 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 398,1766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,1766) = 2

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

GCF(398,1766) x common factors =2 x 1 = 2

LCM(398,1766) = ( 398 × 1766 ) / 2

LCM(398,1766) = 702868 / 2

LCM(398,1766) = 351434

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FAQs on GCF of Fractions of 4262/398, 2673/1766

1. What is the HCF of 4262,2673?

The HCF of 4262,2673 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 4262/398, 2673/1766?

Answer: GCF of Numerators as per given numbers 4262/398, 2673/1766 is

GCF of Numerators i.e. for 4262,2673 is 1

LCM of denominators i.e. for 398,1766 is 351434.

Thus, GCF of Fractions is 1/351434.Finally, GCF of Fractions for 4262/398, 2673/1766 is 1/351434.