How to Find GCF of 650/42, 874/1142?

GCF of 650/42, 874/1142

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 650/42, 874/1142 i.e 2/23982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 650/42, 874/1142.

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 650/42,874/1142?

Given fractions are 650/42,874/1142

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 650/42,874/1142, numerators are 650,874

Denominators are 42,1142

The GCF of 650,874 is 2 .

LCM of 42,1142 is 23982.

The greatest common factor of 650/42,874/1142 = [GCF of 650,874]/[LCM of 42,1142]= 2/23982

Therefore, the GCF of 650/42,874/1142 is 2/23982.

Greatest Common Factor of 650,874

To find the highest common factor of 650,874, we have to find the factors of both numbers and list the highest common factor.

The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The HCF of 650,874 is 2.

Lets's calculate GCF of 650,874

Greatest Common Factor (GCF) of 650,874 By Common Division

2	650, 874
	325, 437

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

Greatest Common Factor of 650,874 By Matching Biggest Common Factor Method

Now, list down the factors of 650

1,2,5,10,13,25,26,50,65,130,325,650

Now, list down the factors of 874

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 650,874 . The biggest common factor number is the GCF number.
So the greatest common factor 650,874 is 2.

Lets's calculate LCM of 42,1142

Lowest Common Multiple of 42,1142 using Common Division

2	42, 1142
	21, 571

∴ So the LCM of the given numbers is 2 x 21 x 571 = 23982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23982

Therefore, the GCF of Fractions 650/42,874/1142 is 2/23982

Least Common Multiple of 42,1142 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 42,1142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1142) = 2

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

GCF(42,1142) x common factors =2 x 1 = 2

LCM(42,1142) = ( 42 × 1142 ) / 2

LCM(42,1142) = 47964 / 2

LCM(42,1142) = 23982

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 650/42, 874/1142

1. What is the HCF of 650,874?

The HCF of 650,874 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 650/42, 874/1142?

Answer: GCF of Numerators as per given numbers 650/42, 874/1142 is

GCF of Numerators i.e. for 650,874 is 2

LCM of denominators i.e. for 42,1142 is 23982.

Thus, GCF of Fractions is 2/23982.Finally, GCF of Fractions for 650/42, 874/1142 is 2/23982.