How to Find GCF of 94/177, 92/188, 554/253?

GCF of 94/177, 92/188, 554/253

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 94/177, 92/188, 554/253 i.e 2/8418828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/177, 92/188, 554/253.

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 94/177,92/188,554/253?

Given fractions are 94/177,92/188,554/253

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 94/177,92/188,554/253, numerators are 94,92,554

Denominators are 177,188,253

The GCF of 94,92,554 is 2 .

LCM of 177,188,253 is 8418828.

The greatest common factor of 94/177,92/188,554/253 = [GCF of 94,92,554]/[LCM of 177,188,253]= 2/8418828

Therefore, the GCF of 94/177,92/188,554/253 is 2/8418828.

Greatest Common Factor of 94,92,554

To find the highest common factor of 94,92,554, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 554 are 1, 2, 277, 554

The HCF of 94,92,554 is 2.

Lets's calculate GCF of 94,92,554

Greatest Common Factor (GCF) of 94,92,554 By Common Division

2	94, 92, 554
	47, 46, 277

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

Greatest Common Factor of 94,92,554 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 554

1,2,277,554

Greatest Common Factor

We found the factors 94,92,554 . The biggest common factor number is the GCF number.
So the greatest common factor 94,92,554 is 2.

Lets's calculate LCM of 177,188,253

Lowest Common Multiple of 177,188,253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8418828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8418828

Therefore, the GCF of Fractions 94/177,92/188,554/253 is 2/8418828

Least Common Multiple of 177,188,253 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 177,188,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,188,253) = 1

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

GCF(177,188,253) x common factors =1 x 1 = 1

LCM(177,188,253) = ( 177 × 188 × 253 ) / 1

LCM(177,188,253) = 8418828 / 1

LCM(177,188,253) = 8418828

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FAQs on GCF of Fractions of 94/177, 92/188, 554/253

1. What is the HCF of 94,92,554?

The HCF of 94,92,554 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 94/177, 92/188, 554/253?

Answer: GCF of Numerators as per given numbers 94/177, 92/188, 554/253 is

GCF of Numerators i.e. for 94,92,554 is 2

LCM of denominators i.e. for 177,188,253 is 8418828.

Thus, GCF of Fractions is 2/8418828.Finally, GCF of Fractions for 94/177, 92/188, 554/253 is 2/8418828.