How to Find GCF of 11/279, 76/222, 417/856?

GCF of 11/279, 76/222, 417/856

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 11/279, 76/222, 417/856 i.e 1/8836488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/279, 76/222, 417/856.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 11/279,76/222,417/856?

Given fractions are 11/279,76/222,417/856

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 11/279,76/222,417/856, numerators are 11,76,417

Denominators are 279,222,856

The GCF of 11,76,417 is 1 .

LCM of 279,222,856 is 8836488.

The greatest common factor of 11/279,76/222,417/856 = [GCF of 11,76,417]/[LCM of 279,222,856]= 1/8836488

Therefore, the GCF of 11/279,76/222,417/856 is 1/8836488.

Greatest Common Factor of 11,76,417

To find the highest common factor of 11,76,417, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 76 are 1, 2, 4, 19, 38, 76

The factors of 417 are 1, 3, 139, 417

The HCF of 11,76,417 is 1.

Lets's calculate GCF of 11,76,417

Greatest Common Factor (GCF) of 11,76,417 By Common Division

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

Greatest Common Factor of 11,76,417 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 417

1,3,139,417

Greatest Common Factor

We found the factors 11,76,417 . The biggest common factor number is the GCF number.
So the greatest common factor 11,76,417 is 1.

Lets's calculate LCM of 279,222,856

Lowest Common Multiple of 279,222,856 using Common Division

2	279, 222, 856
3	279, 111, 428
	93, 37, 428

∴ So the LCM of the given numbers is 2 x 3 x 93 x 37 x 428 = 8836488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8836488

Therefore, the GCF of Fractions 11/279,76/222,417/856 is 1/8836488

Least Common Multiple of 279,222,856 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 279,222,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,222,856) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(279,222,856) x common factors =1 x 6 = 6

LCM(279,222,856) = ( 279 × 222 × 856 ) / 6

LCM(279,222,856) = 53018928 / 6

LCM(279,222,856) = 8836488

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FAQs on GCF of Fractions of 11/279, 76/222, 417/856

1. What is the HCF of 11,76,417?

The HCF of 11,76,417 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 11/279, 76/222, 417/856?

Answer: GCF of Numerators as per given numbers 11/279, 76/222, 417/856 is

GCF of Numerators i.e. for 11,76,417 is 1

LCM of denominators i.e. for 279,222,856 is 8836488.

Thus, GCF of Fractions is 1/8836488.Finally, GCF of Fractions for 11/279, 76/222, 417/856 is 1/8836488.