Greatest Common Factor of 49/14, 56/63, 61/13, 85/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/14, 56/63, 61/13, 85/606

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 49/14,56/63,61/13,85/606

Given fractions are 49/14,56/63,61/13,85/606

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 49,56,61,85

Greatest Common Factor of Numerators i.e. GCF of 49,56,61,85 is 1 .

LCM of Denominators means LCM of 14,63,13,606 as per the given fractions.

LCM of 14,63,13,606 is 165438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,56,61,85

GCF of Fractions 49/14,56/63,61/13,85/606 is 1/165438

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

Greatest Common Factor of 49,56,61,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,56,61,85 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors 49,56,61,85 . The biggest common factor number is the GCF number.
So the greatest common factor 49,56,61,85 is 1.

Lets's calculate LCM of 14,63,13,606

2 14, 63, 13, 606
3 7, 63, 13, 303
7 7, 21, 13, 101
1, 3, 13, 101

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 3 x 13 x 101 = 165438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165438

Therefore, the GCF of Fractions 49/14,56/63,61/13,85/606 is 1/165438

Least Common Multiple of 14,63,13,606 with GCF Formula

Least Common Multiple of 14,63,13,606 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 14,63,13,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,63,13,606) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(14,63,13,606) x common factors =1 x 42 = 42

LCM(14,63,13,606) = ( 14 × 63 × 13 × 606 ) / 42

LCM(14,63,13,606) = 6948396 / 42

LCM(14,63,13,606) = 165438


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 49/14, 56/63, 61/13, 85/606

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 49/14, 56/63, 61/13, 85/606?

Answer: GCF of Numerators as per given numbers 49/14, 56/63, 61/13, 85/606 is

GCF of Numerators i.e. for 49,56,61,85 is 1

LCM of denominators i.e. for 14,63,13,606 is 165438.

Thus, GCF of Fractions is 1/165438.Finally, GCF of Fractions for 49/14, 56/63, 61/13, 85/606 is 1/165438.