How to Find GCF of 402/274, 402/579?

GCF of 402/274, 402/579

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 402/274, 402/579 i.e 402/158646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 402/274, 402/579.

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 402/274,402/579?

Given fractions are 402/274,402/579

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 402/274,402/579, numerators are 402,402

Denominators are 274,579

The GCF of 402,402 is 402 .

LCM of 274,579 is 158646.

The greatest common factor of 402/274,402/579 = [GCF of 402,402]/[LCM of 274,579]= 402/158646

Therefore, the GCF of 402/274,402/579 is 402/158646.

Greatest Common Factor of 402,402

To find the highest common factor of 402,402, we have to find the factors of both numbers and list the highest common factor.

The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402

The HCF of 402,402 is 402.

Lets's calculate GCF of 402,402

Greatest Common Factor (GCF) of 402,402 By Common Division

2	402, 402
3	201, 201
67	67, 67
	1, 1

∴ So the GCF of the given numbers is 2 x 3 x 67 = 402

Greatest Common Factor of 402,402 By Matching Biggest Common Factor Method

Now, list down the factors of 402

1,2,3,6,67,134,201,402

Now, list down the factors of 402

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 402,402 . The biggest common factor number is the GCF number.
So the greatest common factor 402,402 is 402.

Lets's calculate LCM of 274,579

Lowest Common Multiple of 274,579 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 158646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 402/158646

Therefore, the GCF of Fractions 402/274,402/579 is 402/158646

Least Common Multiple of 274,579 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 274,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,579) = 1

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

GCF(274,579) x common factors =1 x 1 = 1

LCM(274,579) = ( 274 × 579 ) / 1

LCM(274,579) = 158646 / 1

LCM(274,579) = 158646

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FAQs on GCF of Fractions of 402/274, 402/579

1. What is the HCF of 402,402?

The HCF of 402,402 is 402

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 402/274, 402/579?

Answer: GCF of Numerators as per given numbers 402/274, 402/579 is

GCF of Numerators i.e. for 402,402 is 402

LCM of denominators i.e. for 274,579 is 158646.

Thus, GCF of Fractions is 402/158646.Finally, GCF of Fractions for 402/274, 402/579 is 402/158646.