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GCF of 178/714, 3806/872

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 178/714, 3806/872 i.e 2/311304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 178/714, 3806/872.

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 178/714,3806/872?

Given fractions are 178/714,3806/872

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 178/714,3806/872, numerators are 178,3806

Denominators are 714,872

The GCF of 178,3806 is 2 .

LCM of 714,872 is 311304.

The greatest common factor of 178/714,3806/872 = [GCF of 178,3806]/[LCM of 714,872]= 2/311304

Therefore, the GCF of 178/714,3806/872 is 2/311304.

Greatest Common Factor of 178,3806

To find the highest common factor of 178,3806, 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 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806

The HCF of 178,3806 is 2.

Lets's calculate GCF of 178,3806

Greatest Common Factor (GCF) of 178,3806 By Common Division

2 178, 3806
89, 1903

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

Greatest Common Factor of 178,3806 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,3806 By Matching Biggest Common Factor Method

Now, list down the factors of 178

:

1,2,89,178

Now, list down the factors of 3806

:

1,2,11,22,173,346,1903,3806

Greatest Common Factor

We found the factors 178,3806 . The biggest common factor number is the GCF number.
So the greatest common factor 178,3806 is 2.

Lets's calculate LCM of 714,872

Lowest Common Multiple of 714,872 using Common Division

2 714, 872
357, 436

∴ So the LCM of the given numbers is 2 x 357 x 436 = 311304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311304

Therefore, the GCF of Fractions 178/714,3806/872 is 2/311304

Least Common Multiple of 714,872 with GCF Formula

Least Common Multiple of 714,872 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 714,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,872) = 2

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

GCF(714,872) x common factors =2 x 1 = 2

LCM(714,872) = ( 714 × 872 ) / 2

LCM(714,872) = 622608 / 2

LCM(714,872) = 311304


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FAQs on GCF of Fractions of 178/714, 3806/872

1. What is the HCF of 178,3806?

The HCF of 178,3806 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 178/714, 3806/872?

Answer: GCF of Numerators as per given numbers 178/714, 3806/872 is

GCF of Numerators i.e. for 178,3806 is 2

LCM of denominators i.e. for 714,872 is 311304.

Thus, GCF of Fractions is 2/311304.Finally, GCF of Fractions for 178/714, 3806/872 is 2/311304.