How to Find GCF of 150/935, 142/800, 701/682?

GCF of 150/935, 142/800, 701/682

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 150/935, 142/800, 701/682 i.e 1/4637600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/935, 142/800, 701/682.

Enter two or more fractions separated by "commas"

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

What is the GCF of 150/935,142/800,701/682?

Given fractions are 150/935,142/800,701/682

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 150/935,142/800,701/682, numerators are 150,142,701

Denominators are 935,800,682

The GCF of 150,142,701 is 1 .

LCM of 935,800,682 is 4637600.

The greatest common factor of 150/935,142/800,701/682 = [GCF of 150,142,701]/[LCM of 935,800,682]= 1/4637600

Therefore, the GCF of 150/935,142/800,701/682 is 1/4637600.

Greatest Common Factor of 150,142,701

To find the highest common factor of 150,142,701, we have to find the factors of both numbers and list the highest common factor.

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The factors of 142 are 1, 2, 71, 142

The factors of 701 are 1, 701

The HCF of 150,142,701 is 1.

Lets's calculate GCF of 150,142,701

Greatest Common Factor (GCF) of 150,142,701 By Common Division

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

Greatest Common Factor of 150,142,701 By Matching Biggest Common Factor Method

Now, list down the factors of 150

1,2,3,5,6,10,15,25,30,50,75,150

Now, list down the factors of 142

1,2,71,142

Now, list down the factors of 701

1,701

Greatest Common Factor

We found the factors 150,142,701 . The biggest common factor number is the GCF number.
So the greatest common factor 150,142,701 is 1.

Lets's calculate LCM of 935,800,682

Lowest Common Multiple of 935,800,682 using Common Division

2	935, 800, 682
5	935, 400, 341
11	187, 80, 341
	17, 80, 31

∴ So the LCM of the given numbers is 2 x 5 x 11 x 17 x 80 x 31 = 4637600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4637600

Therefore, the GCF of Fractions 150/935,142/800,701/682 is 1/4637600

Least Common Multiple of 935,800,682 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 935,800,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,800,682) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(935,800,682) x common factors =1 x 110 = 110

LCM(935,800,682) = ( 935 × 800 × 682 ) / 110

LCM(935,800,682) = 510136000 / 110

LCM(935,800,682) = 4637600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 150/935, 142/800, 701/682

1. What is the HCF of 150,142,701?

The HCF of 150,142,701 is 1

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 150/935, 142/800, 701/682?

Answer: GCF of Numerators as per given numbers 150/935, 142/800, 701/682 is

GCF of Numerators i.e. for 150,142,701 is 1

LCM of denominators i.e. for 935,800,682 is 4637600.

Thus, GCF of Fractions is 1/4637600.Finally, GCF of Fractions for 150/935, 142/800, 701/682 is 1/4637600.