Greatest Common Factor of 48/84, 69/23, 114/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/84, 69/23, 114/551

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 48/84,69/23,114/551

Given fractions are 48/84,69/23,114/551

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 48,69,114

Greatest Common Factor of Numerators i.e. GCF of 48,69,114 is 3 .

LCM of Denominators means LCM of 84,23,551 as per the given fractions.

LCM of 84,23,551 is 1064532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,69,114

GCF of Fractions 48/84,69/23,114/551 is 3/1064532

3 48, 69, 114
16, 23, 38

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 48,69,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,69,114 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 69

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

1,3,23,69

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 48,69,114 . The biggest common factor number is the GCF number.
So the greatest common factor 48,69,114 is 3.

Lets's calculate LCM of 84,23,551

Given numbers has no common factors except 1. So, there LCM is their product i.e 1064532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1064532

Therefore, the GCF of Fractions 48/84,69/23,114/551 is 3/1064532

Least Common Multiple of 84,23,551 with GCF Formula

Least Common Multiple of 84,23,551 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 84,23,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,23,551) = 1

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

GCF(84,23,551) x common factors =1 x 1 = 1

LCM(84,23,551) = ( 84 × 23 × 551 ) / 1

LCM(84,23,551) = 1064532 / 1

LCM(84,23,551) = 1064532


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 48/84, 69/23, 114/551

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 48/84, 69/23, 114/551?

Answer: GCF of Numerators as per given numbers 48/84, 69/23, 114/551 is

GCF of Numerators i.e. for 48,69,114 is 3

LCM of denominators i.e. for 84,23,551 is 1064532.

Thus, GCF of Fractions is 3/1064532.Finally, GCF of Fractions for 48/84, 69/23, 114/551 is 3/1064532.