How to Find GCF of 1383/168, 9575/5028?

GCF of 1383/168, 9575/5028

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 1383/168, 9575/5028 i.e 1/70392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1383/168, 9575/5028.

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 1383/168,9575/5028?

Given fractions are 1383/168,9575/5028

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 1383/168,9575/5028, numerators are 1383,9575

Denominators are 168,5028

The GCF of 1383,9575 is 1 .

LCM of 168,5028 is 70392.

The greatest common factor of 1383/168,9575/5028 = [GCF of 1383,9575]/[LCM of 168,5028]= 1/70392

Therefore, the GCF of 1383/168,9575/5028 is 1/70392.

Greatest Common Factor of 1383,9575

To find the highest common factor of 1383,9575, we have to find the factors of both numbers and list the highest common factor.

The factors of 1383 are 1, 3, 461, 1383

The factors of 9575 are 1, 5, 25, 383, 1915, 9575

The HCF of 1383,9575 is 1.

Lets's calculate GCF of 1383,9575

Greatest Common Factor (GCF) of 1383,9575 By Common Division

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

Greatest Common Factor of 1383,9575 By Matching Biggest Common Factor Method

Now, list down the factors of 1383

1,3,461,1383

Now, list down the factors of 9575

1,5,25,383,1915,9575

Greatest Common Factor

We found the factors 1383,9575 . The biggest common factor number is the GCF number.
So the greatest common factor 1383,9575 is 1.

Lets's calculate LCM of 168,5028

Lowest Common Multiple of 168,5028 using Common Division

2	168, 5028
2	84, 2514
3	42, 1257
	14, 419

∴ So the LCM of the given numbers is 2 x 2 x 3 x 14 x 419 = 70392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70392

Therefore, the GCF of Fractions 1383/168,9575/5028 is 1/70392

Least Common Multiple of 168,5028 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 168,5028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,5028) = 12

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

GCF(168,5028) x common factors =12 x 1 = 12

LCM(168,5028) = ( 168 × 5028 ) / 12

LCM(168,5028) = 844704 / 12

LCM(168,5028) = 70392

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FAQs on GCF of Fractions of 1383/168, 9575/5028

1. What is the HCF of 1383,9575?

The HCF of 1383,9575 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 1383/168, 9575/5028?

Answer: GCF of Numerators as per given numbers 1383/168, 9575/5028 is

GCF of Numerators i.e. for 1383,9575 is 1

LCM of denominators i.e. for 168,5028 is 70392.

Thus, GCF of Fractions is 1/70392.Finally, GCF of Fractions for 1383/168, 9575/5028 is 1/70392.