How to Find GCF of 9230/182, 4936/630?

GCF of 9230/182, 4936/630

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 9230/182, 4936/630 i.e 2/8190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9230/182, 4936/630.

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 9230/182,4936/630?

Given fractions are 9230/182,4936/630

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 9230/182,4936/630, numerators are 9230,4936

Denominators are 182,630

The GCF of 9230,4936 is 2 .

LCM of 182,630 is 8190.

The greatest common factor of 9230/182,4936/630 = [GCF of 9230,4936]/[LCM of 182,630]= 2/8190

Therefore, the GCF of 9230/182,4936/630 is 2/8190.

Greatest Common Factor of 9230,4936

To find the highest common factor of 9230,4936, we have to find the factors of both numbers and list the highest common factor.

The factors of 9230 are 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230

The factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936

The HCF of 9230,4936 is 2.

Lets's calculate GCF of 9230,4936

Greatest Common Factor (GCF) of 9230,4936 By Common Division

2	9230, 4936
	4615, 2468

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9230,4936 By Matching Biggest Common Factor Method

Now, list down the factors of 9230

1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230

Now, list down the factors of 4936

1,2,4,8,617,1234,2468,4936

Greatest Common Factor

We found the factors 9230,4936 . The biggest common factor number is the GCF number.
So the greatest common factor 9230,4936 is 2.

Lets's calculate LCM of 182,630

Lowest Common Multiple of 182,630 using Common Division

2	182, 630
7	91, 315
	13, 45

∴ So the LCM of the given numbers is 2 x 7 x 13 x 45 = 8190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8190

Therefore, the GCF of Fractions 9230/182,4936/630 is 2/8190

Least Common Multiple of 182,630 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 182,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,630) = 14

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

GCF(182,630) x common factors =14 x 1 = 14

LCM(182,630) = ( 182 × 630 ) / 14

LCM(182,630) = 114660 / 14

LCM(182,630) = 8190

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FAQs on GCF of Fractions of 9230/182, 4936/630

1. What is the HCF of 9230,4936?

The HCF of 9230,4936 is 2

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 9230/182, 4936/630?

Answer: GCF of Numerators as per given numbers 9230/182, 4936/630 is

GCF of Numerators i.e. for 9230,4936 is 2

LCM of denominators i.e. for 182,630 is 8190.

Thus, GCF of Fractions is 2/8190.Finally, GCF of Fractions for 9230/182, 4936/630 is 2/8190.