Greatest Common Factor of 2/70, 96/72, 94/414, 526/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/70, 96/72, 94/414, 526/620

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 2/70,96/72,94/414,526/620

Given fractions are 2/70,96/72,94/414,526/620

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 2,96,94,526

Greatest Common Factor of Numerators i.e. GCF of 2,96,94,526 is 2 .

LCM of Denominators means LCM of 70,72,414,620 as per the given fractions.

LCM of 70,72,414,620 is 1796760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,96,94,526

GCF of Fractions 2/70,96/72,94/414,526/620 is 2/1796760

2 2, 96, 94, 526
1, 48, 47, 263

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

Greatest Common Factor of 2,96,94,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,96,94,526 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 2,96,94,526 . The biggest common factor number is the GCF number.
So the greatest common factor 2,96,94,526 is 2.

Lets's calculate LCM of 70,72,414,620

2 70, 72, 414, 620
2 35, 36, 207, 310
3 35, 18, 207, 155
3 35, 6, 69, 155
5 35, 2, 23, 155
7, 2, 23, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 7 x 2 x 23 x 31 = 1796760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1796760

Therefore, the GCF of Fractions 2/70,96/72,94/414,526/620 is 2/1796760

Least Common Multiple of 70,72,414,620 with GCF Formula

Least Common Multiple of 70,72,414,620 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 70,72,414,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,72,414,620) = 2

common factors(in case of two or more numbers have common factors) = 360

GCF(70,72,414,620) x common factors =2 x 360 = 720

LCM(70,72,414,620) = ( 70 × 72 × 414 × 620 ) / 720

LCM(70,72,414,620) = 1293667200 / 720

LCM(70,72,414,620) = 1796760


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 2/70, 96/72, 94/414, 526/620

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 2/70, 96/72, 94/414, 526/620?

Answer: GCF of Numerators as per given numbers 2/70, 96/72, 94/414, 526/620 is

GCF of Numerators i.e. for 2,96,94,526 is 2

LCM of denominators i.e. for 70,72,414,620 is 1796760.

Thus, GCF of Fractions is 2/1796760.Finally, GCF of Fractions for 2/70, 96/72, 94/414, 526/620 is 2/1796760.