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GCF of 350/73, 888/10, 958/29

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 350/73, 888/10, 958/29 i.e 2/21170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/73, 888/10, 958/29.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 350/73,888/10,958/29?

Given fractions are 350/73,888/10,958/29

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 350/73,888/10,958/29, numerators are 350,888,958

Denominators are 73,10,29

The GCF of 350,888,958 is 2 .

LCM of 73,10,29 is 21170.

The greatest common factor of 350/73,888/10,958/29 = [GCF of 350,888,958]/[LCM of 73,10,29]= 2/21170

Therefore, the GCF of 350/73,888/10,958/29 is 2/21170.

Greatest Common Factor of 350,888,958

To find the highest common factor of 350,888,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

The factors of 958 are 1, 2, 479, 958

The HCF of 350,888,958 is 2.

Lets's calculate GCF of 350,888,958

Greatest Common Factor (GCF) of 350,888,958 By Common Division

2 350, 888, 958
175, 444, 479

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

Greatest Common Factor of 350,888,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,888,958 By Matching Biggest Common Factor Method

Now, list down the factors of 350

:

1,2,5,7,10,14,25,35,50,70,175,350

Now, list down the factors of 888

:

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 350,888,958 . The biggest common factor number is the GCF number.
So the greatest common factor 350,888,958 is 2.


Lets's calculate LCM of 73,10,29

Lowest Common Multiple of 73,10,29 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 21170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21170

Therefore, the GCF of Fractions 350/73,888/10,958/29 is 2/21170

Least Common Multiple of 73,10,29 with GCF Formula

Least Common Multiple of 73,10,29 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 73,10,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,10,29) = 1

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

GCF(73,10,29) x common factors =1 x 1 = 1

LCM(73,10,29) = ( 73 × 10 × 29 ) / 1

LCM(73,10,29) = 21170 / 1

LCM(73,10,29) = 21170


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 350/73, 888/10, 958/29

1. What is the HCF of 350,888,958?

The HCF of 350,888,958 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 350/73, 888/10, 958/29?

Answer: GCF of Numerators as per given numbers 350/73, 888/10, 958/29 is

GCF of Numerators i.e. for 350,888,958 is 2

LCM of denominators i.e. for 73,10,29 is 21170.

Thus, GCF of Fractions is 2/21170.Finally, GCF of Fractions for 350/73, 888/10, 958/29 is 2/21170.