How to Find GCF of 6646/149, 1950/4929?

GCF of 6646/149, 1950/4929

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 6646/149, 1950/4929 i.e 2/734421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6646/149, 1950/4929.

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 6646/149,1950/4929?

Given fractions are 6646/149,1950/4929

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 6646/149,1950/4929, numerators are 6646,1950

Denominators are 149,4929

The GCF of 6646,1950 is 2 .

LCM of 149,4929 is 734421.

The greatest common factor of 6646/149,1950/4929 = [GCF of 6646,1950]/[LCM of 149,4929]= 2/734421

Therefore, the GCF of 6646/149,1950/4929 is 2/734421.

Greatest Common Factor of 6646,1950

To find the highest common factor of 6646,1950, we have to find the factors of both numbers and list the highest common factor.

The factors of 6646 are 1, 2, 3323, 6646

The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950

The HCF of 6646,1950 is 2.

Lets's calculate GCF of 6646,1950

Greatest Common Factor (GCF) of 6646,1950 By Common Division

2	6646, 1950
	3323, 975

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

Greatest Common Factor of 6646,1950 By Matching Biggest Common Factor Method

Now, list down the factors of 6646

1,2,3323,6646

Now, list down the factors of 1950

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950

Greatest Common Factor

We found the factors 6646,1950 . The biggest common factor number is the GCF number.
So the greatest common factor 6646,1950 is 2.

Lets's calculate LCM of 149,4929

Lowest Common Multiple of 149,4929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 734421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/734421

Therefore, the GCF of Fractions 6646/149,1950/4929 is 2/734421

Least Common Multiple of 149,4929 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 149,4929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,4929) = 1

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

GCF(149,4929) x common factors =1 x 1 = 1

LCM(149,4929) = ( 149 × 4929 ) / 1

LCM(149,4929) = 734421 / 1

LCM(149,4929) = 734421

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FAQs on GCF of Fractions of 6646/149, 1950/4929

1. What is the HCF of 6646,1950?

The HCF of 6646,1950 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 6646/149, 1950/4929?

Answer: GCF of Numerators as per given numbers 6646/149, 1950/4929 is

GCF of Numerators i.e. for 6646,1950 is 2

LCM of denominators i.e. for 149,4929 is 734421.

Thus, GCF of Fractions is 2/734421.Finally, GCF of Fractions for 6646/149, 1950/4929 is 2/734421.