How to Find GCF of 38/952, 9866/7969?

GCF of 38/952, 9866/7969

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 38/952, 9866/7969 i.e 2/7586488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/952, 9866/7969.

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 38/952,9866/7969?

Given fractions are 38/952,9866/7969

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 38/952,9866/7969, numerators are 38,9866

Denominators are 952,7969

The GCF of 38,9866 is 2 .

LCM of 952,7969 is 7586488.

The greatest common factor of 38/952,9866/7969 = [GCF of 38,9866]/[LCM of 952,7969]= 2/7586488

Therefore, the GCF of 38/952,9866/7969 is 2/7586488.

Greatest Common Factor of 38,9866

To find the highest common factor of 38,9866, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 9866 are 1, 2, 4933, 9866

The HCF of 38,9866 is 2.

Lets's calculate GCF of 38,9866

Greatest Common Factor (GCF) of 38,9866 By Common Division

2	38, 9866
	19, 4933

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

Greatest Common Factor of 38,9866 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 9866

1,2,4933,9866

Greatest Common Factor

We found the factors 38,9866 . The biggest common factor number is the GCF number.
So the greatest common factor 38,9866 is 2.

Lets's calculate LCM of 952,7969

Lowest Common Multiple of 952,7969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7586488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7586488

Therefore, the GCF of Fractions 38/952,9866/7969 is 2/7586488

Least Common Multiple of 952,7969 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 952,7969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,7969) = 1

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

GCF(952,7969) x common factors =1 x 1 = 1

LCM(952,7969) = ( 952 × 7969 ) / 1

LCM(952,7969) = 7586488 / 1

LCM(952,7969) = 7586488

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 38/952, 9866/7969

1. What is the HCF of 38,9866?

The HCF of 38,9866 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 38/952, 9866/7969?

Answer: GCF of Numerators as per given numbers 38/952, 9866/7969 is

GCF of Numerators i.e. for 38,9866 is 2

LCM of denominators i.e. for 952,7969 is 7586488.

Thus, GCF of Fractions is 2/7586488.Finally, GCF of Fractions for 38/952, 9866/7969 is 2/7586488.