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GCF of 150/974, 967/412

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 150/974, 967/412 i.e 1/200644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/974, 967/412.

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 150/974,967/412?

Given fractions are 150/974,967/412

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 150/974,967/412, numerators are 150,967

Denominators are 974,412

The GCF of 150,967 is 1 .

LCM of 974,412 is 200644.

The greatest common factor of 150/974,967/412 = [GCF of 150,967]/[LCM of 974,412]= 1/200644

Therefore, the GCF of 150/974,967/412 is 1/200644.

Greatest Common Factor of 150,967

To find the highest common factor of 150,967, 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 967 are 1, 967

The HCF of 150,967 is 1.

Lets's calculate GCF of 150,967

Greatest Common Factor (GCF) of 150,967 By Common Division

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

Greatest Common Factor of 150,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,967 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 967

:

1,967

Greatest Common Factor

We found the factors 150,967 . The biggest common factor number is the GCF number.
So the greatest common factor 150,967 is 1.

Lets's calculate LCM of 974,412

Lowest Common Multiple of 974,412 using Common Division

2 974, 412
487, 206

∴ So the LCM of the given numbers is 2 x 487 x 206 = 200644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200644

Therefore, the GCF of Fractions 150/974,967/412 is 1/200644

Least Common Multiple of 974,412 with GCF Formula

Least Common Multiple of 974,412 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 974,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,412) = 2

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

GCF(974,412) x common factors =2 x 1 = 2

LCM(974,412) = ( 974 × 412 ) / 2

LCM(974,412) = 401288 / 2

LCM(974,412) = 200644


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FAQs on GCF of Fractions of 150/974, 967/412

1. What is the HCF of 150,967?

The HCF of 150,967 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 150/974, 967/412?

Answer: GCF of Numerators as per given numbers 150/974, 967/412 is

GCF of Numerators i.e. for 150,967 is 1

LCM of denominators i.e. for 974,412 is 200644.

Thus, GCF of Fractions is 1/200644.Finally, GCF of Fractions for 150/974, 967/412 is 1/200644.