How to Find GCF of 1663/967, 1949/6796?

GCF of 1663/967, 1949/6796

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 1663/967, 1949/6796 i.e 1/6571732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1663/967, 1949/6796.

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 1663/967,1949/6796?

Given fractions are 1663/967,1949/6796

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 1663/967,1949/6796, numerators are 1663,1949

Denominators are 967,6796

The GCF of 1663,1949 is 1 .

LCM of 967,6796 is 6571732.

The greatest common factor of 1663/967,1949/6796 = [GCF of 1663,1949]/[LCM of 967,6796]= 1/6571732

Therefore, the GCF of 1663/967,1949/6796 is 1/6571732.

Greatest Common Factor of 1663,1949

To find the highest common factor of 1663,1949, we have to find the factors of both numbers and list the highest common factor.

The factors of 1663 are 1, 1663

The factors of 1949 are 1, 1949

The HCF of 1663,1949 is 1.

Lets's calculate GCF of 1663,1949

Greatest Common Factor (GCF) of 1663,1949 By Common Division

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

Greatest Common Factor of 1663,1949 By Matching Biggest Common Factor Method

Now, list down the factors of 1663

1,1663

Now, list down the factors of 1949

1,1949

Greatest Common Factor

We found the factors 1663,1949 . The biggest common factor number is the GCF number.
So the greatest common factor 1663,1949 is 1.

Lets's calculate LCM of 967,6796

Lowest Common Multiple of 967,6796 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6571732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6571732

Therefore, the GCF of Fractions 1663/967,1949/6796 is 1/6571732

Least Common Multiple of 967,6796 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 967,6796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,6796) = 1

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

GCF(967,6796) x common factors =1 x 1 = 1

LCM(967,6796) = ( 967 × 6796 ) / 1

LCM(967,6796) = 6571732 / 1

LCM(967,6796) = 6571732

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FAQs on GCF of Fractions of 1663/967, 1949/6796

1. What is the HCF of 1663,1949?

The HCF of 1663,1949 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 1663/967, 1949/6796?

Answer: GCF of Numerators as per given numbers 1663/967, 1949/6796 is

GCF of Numerators i.e. for 1663,1949 is 1

LCM of denominators i.e. for 967,6796 is 6571732.

Thus, GCF of Fractions is 1/6571732.Finally, GCF of Fractions for 1663/967, 1949/6796 is 1/6571732.