How to Find GCF of 55/78, 367/73, 661/752?

GCF of 55/78, 367/73, 661/752

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 55/78, 367/73, 661/752 i.e 1/2140944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/78, 367/73, 661/752.

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 55/78,367/73,661/752?

Given fractions are 55/78,367/73,661/752

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 55/78,367/73,661/752, numerators are 55,367,661

Denominators are 78,73,752

The GCF of 55,367,661 is 1 .

LCM of 78,73,752 is 2140944.

The greatest common factor of 55/78,367/73,661/752 = [GCF of 55,367,661]/[LCM of 78,73,752]= 1/2140944

Therefore, the GCF of 55/78,367/73,661/752 is 1/2140944.

Greatest Common Factor of 55,367,661

To find the highest common factor of 55,367,661, we have to find the factors of both numbers and list the highest common factor.

The factors of 55 are 1, 5, 11, 55

The factors of 367 are 1, 367

The factors of 661 are 1, 661

The HCF of 55,367,661 is 1.

Lets's calculate GCF of 55,367,661

Greatest Common Factor (GCF) of 55,367,661 By Common Division

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

Greatest Common Factor of 55,367,661 By Matching Biggest Common Factor Method

Now, list down the factors of 55

1,5,11,55

Now, list down the factors of 367

1,367

Now, list down the factors of 661

1,661

Greatest Common Factor

We found the factors 55,367,661 . The biggest common factor number is the GCF number.
So the greatest common factor 55,367,661 is 1.

Lets's calculate LCM of 78,73,752

Lowest Common Multiple of 78,73,752 using Common Division

2	78, 73, 752
	39, 73, 376

∴ So the LCM of the given numbers is 2 x 39 x 73 x 376 = 2140944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2140944

Therefore, the GCF of Fractions 55/78,367/73,661/752 is 1/2140944

Least Common Multiple of 78,73,752 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 78,73,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,73,752) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,73,752) x common factors =1 x 2 = 2

LCM(78,73,752) = ( 78 × 73 × 752 ) / 2

LCM(78,73,752) = 4281888 / 2

LCM(78,73,752) = 2140944

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FAQs on GCF of Fractions of 55/78, 367/73, 661/752

1. What is the HCF of 55,367,661?

The HCF of 55,367,661 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 55/78, 367/73, 661/752?

Answer: GCF of Numerators as per given numbers 55/78, 367/73, 661/752 is

GCF of Numerators i.e. for 55,367,661 is 1

LCM of denominators i.e. for 78,73,752 is 2140944.

Thus, GCF of Fractions is 1/2140944.Finally, GCF of Fractions for 55/78, 367/73, 661/752 is 1/2140944.