How to Find GCF of 4963/289, 1077/3950?

GCF of 4963/289, 1077/3950

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 4963/289, 1077/3950 i.e 1/1141550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4963/289, 1077/3950.

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 4963/289,1077/3950?

Given fractions are 4963/289,1077/3950

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 4963/289,1077/3950, numerators are 4963,1077

Denominators are 289,3950

The GCF of 4963,1077 is 1 .

LCM of 289,3950 is 1141550.

The greatest common factor of 4963/289,1077/3950 = [GCF of 4963,1077]/[LCM of 289,3950]= 1/1141550

Therefore, the GCF of 4963/289,1077/3950 is 1/1141550.

Greatest Common Factor of 4963,1077

To find the highest common factor of 4963,1077, we have to find the factors of both numbers and list the highest common factor.

The factors of 4963 are 1, 7, 709, 4963

The factors of 1077 are 1, 3, 359, 1077

The HCF of 4963,1077 is 1.

Lets's calculate GCF of 4963,1077

Greatest Common Factor (GCF) of 4963,1077 By Common Division

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

Greatest Common Factor of 4963,1077 By Matching Biggest Common Factor Method

Now, list down the factors of 4963

1,7,709,4963

Now, list down the factors of 1077

1,3,359,1077

Greatest Common Factor

We found the factors 4963,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 4963,1077 is 1.

Lets's calculate LCM of 289,3950

Lowest Common Multiple of 289,3950 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1141550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1141550

Therefore, the GCF of Fractions 4963/289,1077/3950 is 1/1141550

Least Common Multiple of 289,3950 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 289,3950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,3950) = 1

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

GCF(289,3950) x common factors =1 x 1 = 1

LCM(289,3950) = ( 289 × 3950 ) / 1

LCM(289,3950) = 1141550 / 1

LCM(289,3950) = 1141550

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FAQs on GCF of Fractions of 4963/289, 1077/3950

1. What is the HCF of 4963,1077?

The HCF of 4963,1077 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 4963/289, 1077/3950?

Answer: GCF of Numerators as per given numbers 4963/289, 1077/3950 is

GCF of Numerators i.e. for 4963,1077 is 1

LCM of denominators i.e. for 289,3950 is 1141550.

Thus, GCF of Fractions is 1/1141550.Finally, GCF of Fractions for 4963/289, 1077/3950 is 1/1141550.