Greatest Common Factor of 69/416, 5428/4064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/416, 5428/4064

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 69/416,5428/4064

Given fractions are 69/416,5428/4064

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 69,5428

Greatest Common Factor of Numerators i.e. GCF of 69,5428 is 23 .

LCM of Denominators means LCM of 416,4064 as per the given fractions.

LCM of 416,4064 is 52832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,5428

GCF of Fractions 69/416,5428/4064 is 23/52832

23 69, 5428
3, 236

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 69,5428 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,5428 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 5428

List of positive integer factors of 5428 that divides 5428 without a remainder.

1,2,4,23,46,59,92,118,236,1357,2714,5428

Greatest Common Factor

We found the factors 69,5428 . The biggest common factor number is the GCF number.
So the greatest common factor 69,5428 is 23.

Lets's calculate LCM of 416,4064

2 416, 4064
2 208, 2032
2 104, 1016
2 52, 508
2 26, 254
13, 127

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 127 = 52832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/52832

Therefore, the GCF of Fractions 69/416,5428/4064 is 23/52832

Least Common Multiple of 416,4064 with GCF Formula

Least Common Multiple of 416,4064 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 416,4064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,4064) = 32

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

GCF(416,4064) x common factors =32 x 1 = 32

LCM(416,4064) = ( 416 × 4064 ) / 32

LCM(416,4064) = 1690624 / 32

LCM(416,4064) = 52832


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 69/416, 5428/4064

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 69/416, 5428/4064?

Answer: GCF of Numerators as per given numbers 69/416, 5428/4064 is

GCF of Numerators i.e. for 69,5428 is 23

LCM of denominators i.e. for 416,4064 is 52832.

Thus, GCF of Fractions is 23/52832.Finally, GCF of Fractions for 69/416, 5428/4064 is 23/52832.