How to Find GCF of 603/144, 3914/977?

GCF of 603/144, 3914/977

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 603/144, 3914/977 i.e 1/140688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/144, 3914/977.

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 603/144,3914/977?

Given fractions are 603/144,3914/977

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 603/144,3914/977, numerators are 603,3914

Denominators are 144,977

The GCF of 603,3914 is 1 .

LCM of 144,977 is 140688.

The greatest common factor of 603/144,3914/977 = [GCF of 603,3914]/[LCM of 144,977]= 1/140688

Therefore, the GCF of 603/144,3914/977 is 1/140688.

Greatest Common Factor of 603,3914

To find the highest common factor of 603,3914, we have to find the factors of both numbers and list the highest common factor.

The factors of 603 are 1, 3, 9, 67, 201, 603

The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914

The HCF of 603,3914 is 1.

Lets's calculate GCF of 603,3914

Greatest Common Factor (GCF) of 603,3914 By Common Division

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

Greatest Common Factor of 603,3914 By Matching Biggest Common Factor Method

Now, list down the factors of 603

1,3,9,67,201,603

Now, list down the factors of 3914

1,2,19,38,103,206,1957,3914

Greatest Common Factor

We found the factors 603,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 603,3914 is 1.

Lets's calculate LCM of 144,977

Lowest Common Multiple of 144,977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 140688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140688

Therefore, the GCF of Fractions 603/144,3914/977 is 1/140688

Least Common Multiple of 144,977 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 144,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,977) = 1

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

GCF(144,977) x common factors =1 x 1 = 1

LCM(144,977) = ( 144 × 977 ) / 1

LCM(144,977) = 140688 / 1

LCM(144,977) = 140688

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FAQs on GCF of Fractions of 603/144, 3914/977

1. What is the HCF of 603,3914?

The HCF of 603,3914 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 603/144, 3914/977?

Answer: GCF of Numerators as per given numbers 603/144, 3914/977 is

GCF of Numerators i.e. for 603,3914 is 1

LCM of denominators i.e. for 144,977 is 140688.

Thus, GCF of Fractions is 1/140688.Finally, GCF of Fractions for 603/144, 3914/977 is 1/140688.