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GCF of 111/686, 450/141

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 111/686, 450/141 i.e 3/96726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 111/686, 450/141.

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 111/686,450/141?

Given fractions are 111/686,450/141

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 111/686,450/141, numerators are 111,450

Denominators are 686,141

The GCF of 111,450 is 3 .

LCM of 686,141 is 96726.

The greatest common factor of 111/686,450/141 = [GCF of 111,450]/[LCM of 686,141]= 3/96726

Therefore, the GCF of 111/686,450/141 is 3/96726.

Greatest Common Factor of 111,450

To find the highest common factor of 111,450, we have to find the factors of both numbers and list the highest common factor.

The factors of 111 are 1, 3, 37, 111

The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

The HCF of 111,450 is 3.

Lets's calculate GCF of 111,450

Greatest Common Factor (GCF) of 111,450 By Common Division

3 111, 450
37, 150

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 111,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,450 By Matching Biggest Common Factor Method

Now, list down the factors of 111

:

1,3,37,111

Now, list down the factors of 450

:

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 111,450 . The biggest common factor number is the GCF number.
So the greatest common factor 111,450 is 3.

Lets's calculate LCM of 686,141

Lowest Common Multiple of 686,141 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 96726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/96726

Therefore, the GCF of Fractions 111/686,450/141 is 3/96726

Least Common Multiple of 686,141 with GCF Formula

Least Common Multiple of 686,141 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 686,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,141) = 1

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

GCF(686,141) x common factors =1 x 1 = 1

LCM(686,141) = ( 686 × 141 ) / 1

LCM(686,141) = 96726 / 1

LCM(686,141) = 96726


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FAQs on GCF of Fractions of 111/686, 450/141

1. What is the HCF of 111,450?

The HCF of 111,450 is 3

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 111/686, 450/141?

Answer: GCF of Numerators as per given numbers 111/686, 450/141 is

GCF of Numerators i.e. for 111,450 is 3

LCM of denominators i.e. for 686,141 is 96726.

Thus, GCF of Fractions is 3/96726.Finally, GCF of Fractions for 111/686, 450/141 is 3/96726.