How to Find GCF of 4969/150, 1168/3842?

GCF of 4969/150, 1168/3842

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 4969/150, 1168/3842 i.e 1/288150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4969/150, 1168/3842.

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 4969/150,1168/3842?

Given fractions are 4969/150,1168/3842

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 4969/150,1168/3842, numerators are 4969,1168

Denominators are 150,3842

The GCF of 4969,1168 is 1 .

LCM of 150,3842 is 288150.

The greatest common factor of 4969/150,1168/3842 = [GCF of 4969,1168]/[LCM of 150,3842]= 1/288150

Therefore, the GCF of 4969/150,1168/3842 is 1/288150.

Greatest Common Factor of 4969,1168

To find the highest common factor of 4969,1168, we have to find the factors of both numbers and list the highest common factor.

The factors of 4969 are 1, 4969

The factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168

The HCF of 4969,1168 is 1.

Lets's calculate GCF of 4969,1168

Greatest Common Factor (GCF) of 4969,1168 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4969,1168 By Matching Biggest Common Factor Method

Now, list down the factors of 4969

1,4969

Now, list down the factors of 1168

1,2,4,8,16,73,146,292,584,1168

Greatest Common Factor

We found the factors 4969,1168 . The biggest common factor number is the GCF number.
So the greatest common factor 4969,1168 is 1.

Lets's calculate LCM of 150,3842

Lowest Common Multiple of 150,3842 using Common Division

2	150, 3842
	75, 1921

∴ So the LCM of the given numbers is 2 x 75 x 1921 = 288150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288150

Therefore, the GCF of Fractions 4969/150,1168/3842 is 1/288150

Least Common Multiple of 150,3842 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 150,3842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,3842) = 2

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

GCF(150,3842) x common factors =2 x 1 = 2

LCM(150,3842) = ( 150 × 3842 ) / 2

LCM(150,3842) = 576300 / 2

LCM(150,3842) = 288150

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FAQs on GCF of Fractions of 4969/150, 1168/3842

1. What is the HCF of 4969,1168?

The HCF of 4969,1168 is 1

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 4969/150, 1168/3842?

Answer: GCF of Numerators as per given numbers 4969/150, 1168/3842 is

GCF of Numerators i.e. for 4969,1168 is 1

LCM of denominators i.e. for 150,3842 is 288150.

Thus, GCF of Fractions is 1/288150.Finally, GCF of Fractions for 4969/150, 1168/3842 is 1/288150.