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GCF of 179/222, 6854/774

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 179/222, 6854/774 i.e 1/28638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/222, 6854/774.

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 179/222,6854/774?

Given fractions are 179/222,6854/774

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 179/222,6854/774, numerators are 179,6854

Denominators are 222,774

The GCF of 179,6854 is 1 .

LCM of 222,774 is 28638.

The greatest common factor of 179/222,6854/774 = [GCF of 179,6854]/[LCM of 222,774]= 1/28638

Therefore, the GCF of 179/222,6854/774 is 1/28638.

Greatest Common Factor of 179,6854

To find the highest common factor of 179,6854, we have to find the factors of both numbers and list the highest common factor.

The factors of 179 are 1, 179

The factors of 6854 are 1, 2, 23, 46, 149, 298, 3427, 6854

The HCF of 179,6854 is 1.

Lets's calculate GCF of 179,6854

Greatest Common Factor (GCF) of 179,6854 By Common Division

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

Greatest Common Factor of 179,6854 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,6854 By Matching Biggest Common Factor Method

Now, list down the factors of 179

:

1,179

Now, list down the factors of 6854

:

1,2,23,46,149,298,3427,6854

Greatest Common Factor

We found the factors 179,6854 . The biggest common factor number is the GCF number.
So the greatest common factor 179,6854 is 1.

Lets's calculate LCM of 222,774

Lowest Common Multiple of 222,774 using Common Division

2 222, 774
3 111, 387
37, 129

∴ So the LCM of the given numbers is 2 x 3 x 37 x 129 = 28638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28638

Therefore, the GCF of Fractions 179/222,6854/774 is 1/28638

Least Common Multiple of 222,774 with GCF Formula

Least Common Multiple of 222,774 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 222,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,774) = 6

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

GCF(222,774) x common factors =6 x 1 = 6

LCM(222,774) = ( 222 × 774 ) / 6

LCM(222,774) = 171828 / 6

LCM(222,774) = 28638


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FAQs on GCF of Fractions of 179/222, 6854/774

1. What is the HCF of 179,6854?

The HCF of 179,6854 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 179/222, 6854/774?

Answer: GCF of Numerators as per given numbers 179/222, 6854/774 is

GCF of Numerators i.e. for 179,6854 is 1

LCM of denominators i.e. for 222,774 is 28638.

Thus, GCF of Fractions is 1/28638.Finally, GCF of Fractions for 179/222, 6854/774 is 1/28638.