How to Find GCF of 4130/836, 9323/504?

GCF of 4130/836, 9323/504

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 4130/836, 9323/504 i.e 1/105336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4130/836, 9323/504.

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 4130/836,9323/504?

Given fractions are 4130/836,9323/504

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 4130/836,9323/504, numerators are 4130,9323

Denominators are 836,504

The GCF of 4130,9323 is 1 .

LCM of 836,504 is 105336.

The greatest common factor of 4130/836,9323/504 = [GCF of 4130,9323]/[LCM of 836,504]= 1/105336

Therefore, the GCF of 4130/836,9323/504 is 1/105336.

Greatest Common Factor of 4130,9323

To find the highest common factor of 4130,9323, we have to find the factors of both numbers and list the highest common factor.

The factors of 4130 are 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130

The factors of 9323 are 1, 9323

The HCF of 4130,9323 is 1.

Lets's calculate GCF of 4130,9323

Greatest Common Factor (GCF) of 4130,9323 By Common Division

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

Greatest Common Factor of 4130,9323 By Matching Biggest Common Factor Method

Now, list down the factors of 4130

1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130

Now, list down the factors of 9323

1,9323

Greatest Common Factor

We found the factors 4130,9323 . The biggest common factor number is the GCF number.
So the greatest common factor 4130,9323 is 1.

Lets's calculate LCM of 836,504

Lowest Common Multiple of 836,504 using Common Division

2	836, 504
2	418, 252
	209, 126

∴ So the LCM of the given numbers is 2 x 2 x 209 x 126 = 105336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105336

Therefore, the GCF of Fractions 4130/836,9323/504 is 1/105336

Least Common Multiple of 836,504 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 836,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,504) = 4

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

GCF(836,504) x common factors =4 x 1 = 4

LCM(836,504) = ( 836 × 504 ) / 4

LCM(836,504) = 421344 / 4

LCM(836,504) = 105336

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4130/836, 9323/504

1. What is the HCF of 4130,9323?

The HCF of 4130,9323 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 4130/836, 9323/504?

Answer: GCF of Numerators as per given numbers 4130/836, 9323/504 is

GCF of Numerators i.e. for 4130,9323 is 1

LCM of denominators i.e. for 836,504 is 105336.

Thus, GCF of Fractions is 1/105336.Finally, GCF of Fractions for 4130/836, 9323/504 is 1/105336.