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GCF of 142/93, 100/2144

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 142/93, 100/2144 i.e 2/199392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 142/93, 100/2144.

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 142/93,100/2144?

Given fractions are 142/93,100/2144

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 142/93,100/2144, numerators are 142,100

Denominators are 93,2144

The GCF of 142,100 is 2 .

LCM of 93,2144 is 199392.

The greatest common factor of 142/93,100/2144 = [GCF of 142,100]/[LCM of 93,2144]= 2/199392

Therefore, the GCF of 142/93,100/2144 is 2/199392.

Greatest Common Factor of 142,100

To find the highest common factor of 142,100, we have to find the factors of both numbers and list the highest common factor.

The factors of 142 are 1, 2, 71, 142

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The HCF of 142,100 is 2.

Lets's calculate GCF of 142,100

Greatest Common Factor (GCF) of 142,100 By Common Division

2 142, 100
71, 50

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

Greatest Common Factor of 142,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,100 By Matching Biggest Common Factor Method

Now, list down the factors of 142

:

1,2,71,142

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 142,100 . The biggest common factor number is the GCF number.
So the greatest common factor 142,100 is 2.

Lets's calculate LCM of 93,2144

Lowest Common Multiple of 93,2144 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 199392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199392

Therefore, the GCF of Fractions 142/93,100/2144 is 2/199392

Least Common Multiple of 93,2144 with GCF Formula

Least Common Multiple of 93,2144 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 93,2144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,2144) = 1

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

GCF(93,2144) x common factors =1 x 1 = 1

LCM(93,2144) = ( 93 × 2144 ) / 1

LCM(93,2144) = 199392 / 1

LCM(93,2144) = 199392


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FAQs on GCF of Fractions of 142/93, 100/2144

1. What is the HCF of 142,100?

The HCF of 142,100 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 142/93, 100/2144?

Answer: GCF of Numerators as per given numbers 142/93, 100/2144 is

GCF of Numerators i.e. for 142,100 is 2

LCM of denominators i.e. for 93,2144 is 199392.

Thus, GCF of Fractions is 2/199392.Finally, GCF of Fractions for 142/93, 100/2144 is 2/199392.