How to Find GCF of 356/49, 854/40, 208/27?

GCF of 356/49, 854/40, 208/27

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 356/49, 854/40, 208/27 i.e 2/52920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/49, 854/40, 208/27.

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 356/49,854/40,208/27?

Given fractions are 356/49,854/40,208/27

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 356/49,854/40,208/27, numerators are 356,854,208

Denominators are 49,40,27

The GCF of 356,854,208 is 2 .

LCM of 49,40,27 is 52920.

The greatest common factor of 356/49,854/40,208/27 = [GCF of 356,854,208]/[LCM of 49,40,27]= 2/52920

Therefore, the GCF of 356/49,854/40,208/27 is 2/52920.

Greatest Common Factor of 356,854,208

To find the highest common factor of 356,854,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 356 are 1, 2, 4, 89, 178, 356

The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 356,854,208 is 2.

Lets's calculate GCF of 356,854,208

Greatest Common Factor (GCF) of 356,854,208 By Common Division

2	356, 854, 208
	178, 427, 104

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

Greatest Common Factor of 356,854,208 By Matching Biggest Common Factor Method

Now, list down the factors of 356

1,2,4,89,178,356

Now, list down the factors of 854

1,2,7,14,61,122,427,854

Now, list down the factors of 208

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 356,854,208 . The biggest common factor number is the GCF number.
So the greatest common factor 356,854,208 is 2.

Lets's calculate LCM of 49,40,27

Lowest Common Multiple of 49,40,27 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 52920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52920

Therefore, the GCF of Fractions 356/49,854/40,208/27 is 2/52920

Least Common Multiple of 49,40,27 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 49,40,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,40,27) = 1

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

GCF(49,40,27) x common factors =1 x 1 = 1

LCM(49,40,27) = ( 49 × 40 × 27 ) / 1

LCM(49,40,27) = 52920 / 1

LCM(49,40,27) = 52920

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FAQs on GCF of Fractions of 356/49, 854/40, 208/27

1. What is the HCF of 356,854,208?

The HCF of 356,854,208 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 356/49, 854/40, 208/27?

Answer: GCF of Numerators as per given numbers 356/49, 854/40, 208/27 is

GCF of Numerators i.e. for 356,854,208 is 2

LCM of denominators i.e. for 49,40,27 is 52920.

Thus, GCF of Fractions is 2/52920.Finally, GCF of Fractions for 356/49, 854/40, 208/27 is 2/52920.