Greatest Common Factor of 552/786, 2468/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/786, 2468/419

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 552/786,2468/419

Given fractions are 552/786,2468/419

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 552,2468

Greatest Common Factor of Numerators i.e. GCF of 552,2468 is 4 .

LCM of Denominators means LCM of 786,419 as per the given fractions.

LCM of 786,419 is 329334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,2468

GCF of Fractions 552/786,2468/419 is 4/329334

2 552, 2468
2 276, 1234
138, 617

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 552,2468 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,2468 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 2468

List of positive integer factors of 2468 that divides 2468 without a remainder.

1,2,4,617,1234,2468

Greatest Common Factor

We found the factors 552,2468 . The biggest common factor number is the GCF number.
So the greatest common factor 552,2468 is 4.

Lets's calculate LCM of 786,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 329334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/329334

Therefore, the GCF of Fractions 552/786,2468/419 is 4/329334

Least Common Multiple of 786,419 with GCF Formula

Least Common Multiple of 786,419 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 786,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,419) = 1

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

GCF(786,419) x common factors =1 x 1 = 1

LCM(786,419) = ( 786 × 419 ) / 1

LCM(786,419) = 329334 / 1

LCM(786,419) = 329334


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 552/786, 2468/419

1. 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.

2. What is the GCF of Fractions for 552/786, 2468/419?

Answer: GCF of Numerators as per given numbers 552/786, 2468/419 is

GCF of Numerators i.e. for 552,2468 is 4

LCM of denominators i.e. for 786,419 is 329334.

Thus, GCF of Fractions is 4/329334.Finally, GCF of Fractions for 552/786, 2468/419 is 4/329334.