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GCF of 967/18, 404/170

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 967/18, 404/170 i.e 1/1530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/18, 404/170.

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 967/18,404/170?

Given fractions are 967/18,404/170

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 967/18,404/170, numerators are 967,404

Denominators are 18,170

The GCF of 967,404 is 1 .

LCM of 18,170 is 1530.

The greatest common factor of 967/18,404/170 = [GCF of 967,404]/[LCM of 18,170]= 1/1530

Therefore, the GCF of 967/18,404/170 is 1/1530.

Greatest Common Factor of 967,404

To find the highest common factor of 967,404, we have to find the factors of both numbers and list the highest common factor.

The factors of 967 are 1, 967

The factors of 404 are 1, 2, 4, 101, 202, 404

The HCF of 967,404 is 1.

Lets's calculate GCF of 967,404

Greatest Common Factor (GCF) of 967,404 By Common Division

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

Greatest Common Factor of 967,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,404 By Matching Biggest Common Factor Method

Now, list down the factors of 967

:

1,967

Now, list down the factors of 404

:

1,2,4,101,202,404

Greatest Common Factor

We found the factors 967,404 . The biggest common factor number is the GCF number.
So the greatest common factor 967,404 is 1.

Lets's calculate LCM of 18,170

Lowest Common Multiple of 18,170 using Common Division

2 18, 170
9, 85

∴ So the LCM of the given numbers is 2 x 9 x 85 = 1530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1530

Therefore, the GCF of Fractions 967/18,404/170 is 1/1530

Least Common Multiple of 18,170 with GCF Formula

Least Common Multiple of 18,170 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 18,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,170) = 2

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

GCF(18,170) x common factors =2 x 1 = 2

LCM(18,170) = ( 18 × 170 ) / 2

LCM(18,170) = 3060 / 2

LCM(18,170) = 1530


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FAQs on GCF of Fractions of 967/18, 404/170

1. What is the HCF of 967,404?

The HCF of 967,404 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 967/18, 404/170?

Answer: GCF of Numerators as per given numbers 967/18, 404/170 is

GCF of Numerators i.e. for 967,404 is 1

LCM of denominators i.e. for 18,170 is 1530.

Thus, GCF of Fractions is 1/1530.Finally, GCF of Fractions for 967/18, 404/170 is 1/1530.