How to Find GCF of 4346/810, 7584/4937?

GCF of 4346/810, 7584/4937

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 4346/810, 7584/4937 i.e 2/3998970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4346/810, 7584/4937.

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 4346/810,7584/4937?

Given fractions are 4346/810,7584/4937

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 4346/810,7584/4937, numerators are 4346,7584

Denominators are 810,4937

The GCF of 4346,7584 is 2 .

LCM of 810,4937 is 3998970.

The greatest common factor of 4346/810,7584/4937 = [GCF of 4346,7584]/[LCM of 810,4937]= 2/3998970

Therefore, the GCF of 4346/810,7584/4937 is 2/3998970.

Greatest Common Factor of 4346,7584

To find the highest common factor of 4346,7584, we have to find the factors of both numbers and list the highest common factor.

The factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346

The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584

The HCF of 4346,7584 is 2.

Lets's calculate GCF of 4346,7584

Greatest Common Factor (GCF) of 4346,7584 By Common Division

2	4346, 7584
	2173, 3792

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

Greatest Common Factor of 4346,7584 By Matching Biggest Common Factor Method

Now, list down the factors of 4346

1,2,41,53,82,106,2173,4346

Now, list down the factors of 7584

1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584

Greatest Common Factor

We found the factors 4346,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 4346,7584 is 2.

Lets's calculate LCM of 810,4937

Lowest Common Multiple of 810,4937 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3998970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3998970

Therefore, the GCF of Fractions 4346/810,7584/4937 is 2/3998970

Least Common Multiple of 810,4937 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 810,4937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,4937) = 1

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

GCF(810,4937) x common factors =1 x 1 = 1

LCM(810,4937) = ( 810 × 4937 ) / 1

LCM(810,4937) = 3998970 / 1

LCM(810,4937) = 3998970

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4346/810, 7584/4937

1. What is the HCF of 4346,7584?

The HCF of 4346,7584 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 4346/810, 7584/4937?

Answer: GCF of Numerators as per given numbers 4346/810, 7584/4937 is

GCF of Numerators i.e. for 4346,7584 is 2

LCM of denominators i.e. for 810,4937 is 3998970.

Thus, GCF of Fractions is 2/3998970.Finally, GCF of Fractions for 4346/810, 7584/4937 is 2/3998970.