How to Find GCF of 402/931, 5724/1483?

GCF of 402/931, 5724/1483

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 402/931, 5724/1483 i.e 6/1380673 easily. The following is the detailed procedure to determine the greatest common factor of fractions 402/931, 5724/1483.

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 402/931,5724/1483?

Given fractions are 402/931,5724/1483

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 402/931,5724/1483, numerators are 402,5724

Denominators are 931,1483

The GCF of 402,5724 is 6 .

LCM of 931,1483 is 1380673.

The greatest common factor of 402/931,5724/1483 = [GCF of 402,5724]/[LCM of 931,1483]= 6/1380673

Therefore, the GCF of 402/931,5724/1483 is 6/1380673.

Greatest Common Factor of 402,5724

To find the highest common factor of 402,5724, 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 factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724

The HCF of 402,5724 is 6.

Lets's calculate GCF of 402,5724

Greatest Common Factor (GCF) of 402,5724 By Common Division

2	402, 5724
3	201, 2862
	67, 954

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 402,5724 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 5724

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Greatest Common Factor

We found the factors 402,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 402,5724 is 6.

Lets's calculate LCM of 931,1483

Lowest Common Multiple of 931,1483 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1380673

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1380673

Therefore, the GCF of Fractions 402/931,5724/1483 is 6/1380673

Least Common Multiple of 931,1483 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 931,1483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,1483) = 1

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

GCF(931,1483) x common factors =1 x 1 = 1

LCM(931,1483) = ( 931 × 1483 ) / 1

LCM(931,1483) = 1380673 / 1

LCM(931,1483) = 1380673

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 402/931, 5724/1483

1. What is the HCF of 402,5724?

The HCF of 402,5724 is 6

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 402/931, 5724/1483?

Answer: GCF of Numerators as per given numbers 402/931, 5724/1483 is

GCF of Numerators i.e. for 402,5724 is 6

LCM of denominators i.e. for 931,1483 is 1380673.

Thus, GCF of Fractions is 6/1380673.Finally, GCF of Fractions for 402/931, 5724/1483 is 6/1380673.