Greatest Common Factor of 105/77, 606/67, 126/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 105/77, 606/67, 126/755

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 105/77,606/67,126/755

Given fractions are 105/77,606/67,126/755

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 105,606,126

Greatest Common Factor of Numerators i.e. GCF of 105,606,126 is 3 .

LCM of Denominators means LCM of 77,67,755 as per the given fractions.

LCM of 77,67,755 is 3895045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 105,606,126

GCF of Fractions 105/77,606/67,126/755 is 3/3895045

3 105, 606, 126
35, 202, 42

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 105,606,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,606,126 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 105,606,126 . The biggest common factor number is the GCF number.
So the greatest common factor 105,606,126 is 3.

Lets's calculate LCM of 77,67,755

Given numbers has no common factors except 1. So, there LCM is their product i.e 3895045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3895045

Therefore, the GCF of Fractions 105/77,606/67,126/755 is 3/3895045

Least Common Multiple of 77,67,755 with GCF Formula

Least Common Multiple of 77,67,755 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 77,67,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,67,755) = 1

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

GCF(77,67,755) x common factors =1 x 1 = 1

LCM(77,67,755) = ( 77 × 67 × 755 ) / 1

LCM(77,67,755) = 3895045 / 1

LCM(77,67,755) = 3895045


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 105/77, 606/67, 126/755

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 105/77, 606/67, 126/755?

Answer: GCF of Numerators as per given numbers 105/77, 606/67, 126/755 is

GCF of Numerators i.e. for 105,606,126 is 3

LCM of denominators i.e. for 77,67,755 is 3895045.

Thus, GCF of Fractions is 3/3895045.Finally, GCF of Fractions for 105/77, 606/67, 126/755 is 3/3895045.