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GCF of 178/20, 836/127

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 178/20, 836/127 i.e 2/2540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 178/20, 836/127.

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 178/20,836/127?

Given fractions are 178/20,836/127

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 178/20,836/127, numerators are 178,836

Denominators are 20,127

The GCF of 178,836 is 2 .

LCM of 20,127 is 2540.

The greatest common factor of 178/20,836/127 = [GCF of 178,836]/[LCM of 20,127]= 2/2540

Therefore, the GCF of 178/20,836/127 is 2/2540.

Greatest Common Factor of 178,836

To find the highest common factor of 178,836, we have to find the factors of both numbers and list the highest common factor.

The factors of 178 are 1, 2, 89, 178

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The HCF of 178,836 is 2.

Lets's calculate GCF of 178,836

Greatest Common Factor (GCF) of 178,836 By Common Division

2 178, 836
89, 418

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

Greatest Common Factor of 178,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,836 By Matching Biggest Common Factor Method

Now, list down the factors of 178

:

1,2,89,178

Now, list down the factors of 836

:

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 178,836 . The biggest common factor number is the GCF number.
So the greatest common factor 178,836 is 2.

Lets's calculate LCM of 20,127

Lowest Common Multiple of 20,127 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2540

Therefore, the GCF of Fractions 178/20,836/127 is 2/2540

Least Common Multiple of 20,127 with GCF Formula

Least Common Multiple of 20,127 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 20,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,127) = 1

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

GCF(20,127) x common factors =1 x 1 = 1

LCM(20,127) = ( 20 × 127 ) / 1

LCM(20,127) = 2540 / 1

LCM(20,127) = 2540


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FAQs on GCF of Fractions of 178/20, 836/127

1. What is the HCF of 178,836?

The HCF of 178,836 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 178/20, 836/127?

Answer: GCF of Numerators as per given numbers 178/20, 836/127 is

GCF of Numerators i.e. for 178,836 is 2

LCM of denominators i.e. for 20,127 is 2540.

Thus, GCF of Fractions is 2/2540.Finally, GCF of Fractions for 178/20, 836/127 is 2/2540.