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GCF of 150/105, 865/922

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 150/105, 865/922 i.e 5/96810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/105, 865/922.

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 150/105,865/922?

Given fractions are 150/105,865/922

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 150/105,865/922, numerators are 150,865

Denominators are 105,922

The GCF of 150,865 is 5 .

LCM of 105,922 is 96810.

The greatest common factor of 150/105,865/922 = [GCF of 150,865]/[LCM of 105,922]= 5/96810

Therefore, the GCF of 150/105,865/922 is 5/96810.

Greatest Common Factor of 150,865

To find the highest common factor of 150,865, 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 865 are 1, 5, 173, 865

The HCF of 150,865 is 5.

Lets's calculate GCF of 150,865

Greatest Common Factor (GCF) of 150,865 By Common Division

5 150, 865
30, 173

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 150,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,865 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 865

:

1,5,173,865

Greatest Common Factor

We found the factors 150,865 . The biggest common factor number is the GCF number.
So the greatest common factor 150,865 is 5.

Lets's calculate LCM of 105,922

Lowest Common Multiple of 105,922 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 96810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/96810

Therefore, the GCF of Fractions 150/105,865/922 is 5/96810

Least Common Multiple of 105,922 with GCF Formula

Least Common Multiple of 105,922 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 105,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,922) = 1

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

GCF(105,922) x common factors =1 x 1 = 1

LCM(105,922) = ( 105 × 922 ) / 1

LCM(105,922) = 96810 / 1

LCM(105,922) = 96810


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 150/105, 865/922

1. What is the HCF of 150,865?

The HCF of 150,865 is 5

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 150/105, 865/922?

Answer: GCF of Numerators as per given numbers 150/105, 865/922 is

GCF of Numerators i.e. for 150,865 is 5

LCM of denominators i.e. for 105,922 is 96810.

Thus, GCF of Fractions is 5/96810.Finally, GCF of Fractions for 150/105, 865/922 is 5/96810.