Greatest Common Factor of 48/623, 840/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/623, 840/654

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 48/623,840/654

Given fractions are 48/623,840/654

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 48,840

Greatest Common Factor of Numerators i.e. GCF of 48,840 is 24 .

LCM of Denominators means LCM of 623,654 as per the given fractions.

LCM of 623,654 is 407442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,840

GCF of Fractions 48/623,840/654 is 24/407442

2 48, 840
2 24, 420
2 12, 210
3 6, 105
2, 35

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 48,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,840 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 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 48,840 . The biggest common factor number is the GCF number.
So the greatest common factor 48,840 is 24.

Lets's calculate LCM of 623,654

Given numbers has no common factors except 1. So, there LCM is their product i.e 407442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/407442

Therefore, the GCF of Fractions 48/623,840/654 is 24/407442

Least Common Multiple of 623,654 with GCF Formula

Least Common Multiple of 623,654 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 623,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,654) = 1

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

GCF(623,654) x common factors =1 x 1 = 1

LCM(623,654) = ( 623 × 654 ) / 1

LCM(623,654) = 407442 / 1

LCM(623,654) = 407442


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 48/623, 840/654

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 48/623, 840/654?

Answer: GCF of Numerators as per given numbers 48/623, 840/654 is

GCF of Numerators i.e. for 48,840 is 24

LCM of denominators i.e. for 623,654 is 407442.

Thus, GCF of Fractions is 24/407442.Finally, GCF of Fractions for 48/623, 840/654 is 24/407442.