Greatest Common Factor of 38/775, 616/148, 952/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/775, 616/148, 952/385

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 38/775,616/148,952/385

Given fractions are 38/775,616/148,952/385

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 38,616,952

Greatest Common Factor of Numerators i.e. GCF of 38,616,952 is 2 .

LCM of Denominators means LCM of 775,148,385 as per the given fractions.

LCM of 775,148,385 is 8831900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,616,952

GCF of Fractions 38/775,616/148,952/385 is 2/8831900

2 38, 616, 952
19, 308, 476

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

Greatest Common Factor of 38,616,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,616,952 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 38,616,952 . The biggest common factor number is the GCF number.
So the greatest common factor 38,616,952 is 2.

Lets's calculate LCM of 775,148,385

5 775, 148, 385
155, 148, 77

∴ So the LCM of the given numbers is 5 x 155 x 148 x 77 = 8831900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8831900

Therefore, the GCF of Fractions 38/775,616/148,952/385 is 2/8831900

Least Common Multiple of 775,148,385 with GCF Formula

Least Common Multiple of 775,148,385 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 775,148,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,148,385) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(775,148,385) x common factors =1 x 5 = 5

LCM(775,148,385) = ( 775 × 148 × 385 ) / 5

LCM(775,148,385) = 44159500 / 5

LCM(775,148,385) = 8831900


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 38/775, 616/148, 952/385

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 38/775, 616/148, 952/385?

Answer: GCF of Numerators as per given numbers 38/775, 616/148, 952/385 is

GCF of Numerators i.e. for 38,616,952 is 2

LCM of denominators i.e. for 775,148,385 is 8831900.

Thus, GCF of Fractions is 2/8831900.Finally, GCF of Fractions for 38/775, 616/148, 952/385 is 2/8831900.