How to Find GCF of 45/78, 97/223, 958/621?

GCF of 45/78, 97/223, 958/621

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 45/78, 97/223, 958/621 i.e 1/3600558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/78, 97/223, 958/621.

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 45/78,97/223,958/621?

Given fractions are 45/78,97/223,958/621

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 45/78,97/223,958/621, numerators are 45,97,958

Denominators are 78,223,621

The GCF of 45,97,958 is 1 .

LCM of 78,223,621 is 3600558.

The greatest common factor of 45/78,97/223,958/621 = [GCF of 45,97,958]/[LCM of 78,223,621]= 1/3600558

Therefore, the GCF of 45/78,97/223,958/621 is 1/3600558.

Greatest Common Factor of 45,97,958

To find the highest common factor of 45,97,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 45 are 1, 3, 5, 9, 15, 45

The factors of 97 are 1, 97

The factors of 958 are 1, 2, 479, 958

The HCF of 45,97,958 is 1.

Lets's calculate GCF of 45,97,958

Greatest Common Factor (GCF) of 45,97,958 By Common Division

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

Greatest Common Factor of 45,97,958 By Matching Biggest Common Factor Method

Now, list down the factors of 45

1,3,5,9,15,45

Now, list down the factors of 97

1,97

Now, list down the factors of 958

1,2,479,958

Greatest Common Factor

We found the factors 45,97,958 . The biggest common factor number is the GCF number.
So the greatest common factor 45,97,958 is 1.

Lets's calculate LCM of 78,223,621

Lowest Common Multiple of 78,223,621 using Common Division

3	78, 223, 621
	26, 223, 207

∴ So the LCM of the given numbers is 3 x 26 x 223 x 207 = 3600558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3600558

Therefore, the GCF of Fractions 45/78,97/223,958/621 is 1/3600558

Least Common Multiple of 78,223,621 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 78,223,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,223,621) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(78,223,621) x common factors =1 x 3 = 3

LCM(78,223,621) = ( 78 × 223 × 621 ) / 3

LCM(78,223,621) = 10801674 / 3

LCM(78,223,621) = 3600558

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 45/78, 97/223, 958/621

1. What is the HCF of 45,97,958?

The HCF of 45,97,958 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 45/78, 97/223, 958/621?

Answer: GCF of Numerators as per given numbers 45/78, 97/223, 958/621 is

GCF of Numerators i.e. for 45,97,958 is 1

LCM of denominators i.e. for 78,223,621 is 3600558.

Thus, GCF of Fractions is 1/3600558.Finally, GCF of Fractions for 45/78, 97/223, 958/621 is 1/3600558.