How to Find GCF of 1966/769, 5551/3295?

GCF of 1966/769, 5551/3295

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 1966/769, 5551/3295 i.e 1/2533855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1966/769, 5551/3295.

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 1966/769,5551/3295?

Given fractions are 1966/769,5551/3295

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 1966/769,5551/3295, numerators are 1966,5551

Denominators are 769,3295

The GCF of 1966,5551 is 1 .

LCM of 769,3295 is 2533855.

The greatest common factor of 1966/769,5551/3295 = [GCF of 1966,5551]/[LCM of 769,3295]= 1/2533855

Therefore, the GCF of 1966/769,5551/3295 is 1/2533855.

Greatest Common Factor of 1966,5551

To find the highest common factor of 1966,5551, we have to find the factors of both numbers and list the highest common factor.

The factors of 1966 are 1, 2, 983, 1966

The factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551

The HCF of 1966,5551 is 1.

Lets's calculate GCF of 1966,5551

Greatest Common Factor (GCF) of 1966,5551 By Common Division

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

Greatest Common Factor of 1966,5551 By Matching Biggest Common Factor Method

Now, list down the factors of 1966

1,2,983,1966

Now, list down the factors of 5551

1,7,13,61,91,427,793,5551

Greatest Common Factor

We found the factors 1966,5551 . The biggest common factor number is the GCF number.
So the greatest common factor 1966,5551 is 1.

Lets's calculate LCM of 769,3295

Lowest Common Multiple of 769,3295 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2533855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2533855

Therefore, the GCF of Fractions 1966/769,5551/3295 is 1/2533855

Least Common Multiple of 769,3295 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 769,3295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,3295) = 1

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

GCF(769,3295) x common factors =1 x 1 = 1

LCM(769,3295) = ( 769 × 3295 ) / 1

LCM(769,3295) = 2533855 / 1

LCM(769,3295) = 2533855

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FAQs on GCF of Fractions of 1966/769, 5551/3295

1. What is the HCF of 1966,5551?

The HCF of 1966,5551 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 1966/769, 5551/3295?

Answer: GCF of Numerators as per given numbers 1966/769, 5551/3295 is

GCF of Numerators i.e. for 1966,5551 is 1

LCM of denominators i.e. for 769,3295 is 2533855.

Thus, GCF of Fractions is 1/2533855.Finally, GCF of Fractions for 1966/769, 5551/3295 is 1/2533855.