How to Find GCF of 11/94, 55/25, 312/87?

GCF of 11/94, 55/25, 312/87

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 11/94, 55/25, 312/87 i.e 1/204450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/94, 55/25, 312/87.

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 11/94,55/25,312/87?

Given fractions are 11/94,55/25,312/87

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 11/94,55/25,312/87, numerators are 11,55,312

Denominators are 94,25,87

The GCF of 11,55,312 is 1 .

LCM of 94,25,87 is 204450.

The greatest common factor of 11/94,55/25,312/87 = [GCF of 11,55,312]/[LCM of 94,25,87]= 1/204450

Therefore, the GCF of 11/94,55/25,312/87 is 1/204450.

Greatest Common Factor of 11,55,312

To find the highest common factor of 11,55,312, 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 55 are 1, 5, 11, 55

The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

The HCF of 11,55,312 is 1.

Lets's calculate GCF of 11,55,312

Greatest Common Factor (GCF) of 11,55,312 By Common Division

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

Greatest Common Factor of 11,55,312 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 55

1,5,11,55

Now, list down the factors of 312

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 11,55,312 . The biggest common factor number is the GCF number.
So the greatest common factor 11,55,312 is 1.

Lets's calculate LCM of 94,25,87

Lowest Common Multiple of 94,25,87 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 204450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204450

Therefore, the GCF of Fractions 11/94,55/25,312/87 is 1/204450

Least Common Multiple of 94,25,87 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 94,25,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,25,87) = 1

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

GCF(94,25,87) x common factors =1 x 1 = 1

LCM(94,25,87) = ( 94 × 25 × 87 ) / 1

LCM(94,25,87) = 204450 / 1

LCM(94,25,87) = 204450

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FAQs on GCF of Fractions of 11/94, 55/25, 312/87

1. What is the HCF of 11,55,312?

The HCF of 11,55,312 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 11/94, 55/25, 312/87?

Answer: GCF of Numerators as per given numbers 11/94, 55/25, 312/87 is

GCF of Numerators i.e. for 11,55,312 is 1

LCM of denominators i.e. for 94,25,87 is 204450.

Thus, GCF of Fractions is 1/204450.Finally, GCF of Fractions for 11/94, 55/25, 312/87 is 1/204450.