How to Find GCF of 1749/402, 1270/1642?

GCF of 1749/402, 1270/1642

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 1749/402, 1270/1642 i.e 1/330042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1749/402, 1270/1642.

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 1749/402,1270/1642?

Given fractions are 1749/402,1270/1642

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 1749/402,1270/1642, numerators are 1749,1270

Denominators are 402,1642

The GCF of 1749,1270 is 1 .

LCM of 402,1642 is 330042.

The greatest common factor of 1749/402,1270/1642 = [GCF of 1749,1270]/[LCM of 402,1642]= 1/330042

Therefore, the GCF of 1749/402,1270/1642 is 1/330042.

Greatest Common Factor of 1749,1270

To find the highest common factor of 1749,1270, we have to find the factors of both numbers and list the highest common factor.

The factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749

The factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270

The HCF of 1749,1270 is 1.

Lets's calculate GCF of 1749,1270

Greatest Common Factor (GCF) of 1749,1270 By Common Division

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

Greatest Common Factor of 1749,1270 By Matching Biggest Common Factor Method

Now, list down the factors of 1749

1,3,11,33,53,159,583,1749

Now, list down the factors of 1270

1,2,5,10,127,254,635,1270

Greatest Common Factor

We found the factors 1749,1270 . The biggest common factor number is the GCF number.
So the greatest common factor 1749,1270 is 1.

Lets's calculate LCM of 402,1642

Lowest Common Multiple of 402,1642 using Common Division

2	402, 1642
	201, 821

∴ So the LCM of the given numbers is 2 x 201 x 821 = 330042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330042

Therefore, the GCF of Fractions 1749/402,1270/1642 is 1/330042

Least Common Multiple of 402,1642 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 402,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,1642) = 2

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

GCF(402,1642) x common factors =2 x 1 = 2

LCM(402,1642) = ( 402 × 1642 ) / 2

LCM(402,1642) = 660084 / 2

LCM(402,1642) = 330042

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1749/402, 1270/1642

1. What is the HCF of 1749,1270?

The HCF of 1749,1270 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 1749/402, 1270/1642?

Answer: GCF of Numerators as per given numbers 1749/402, 1270/1642 is

GCF of Numerators i.e. for 1749,1270 is 1

LCM of denominators i.e. for 402,1642 is 330042.

Thus, GCF of Fractions is 1/330042.Finally, GCF of Fractions for 1749/402, 1270/1642 is 1/330042.