How to Find GCF of 14/769, 5867/9212?

GCF of 14/769, 5867/9212

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 14/769, 5867/9212 i.e 1/7084028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/769, 5867/9212.

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 14/769,5867/9212?

Given fractions are 14/769,5867/9212

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 14/769,5867/9212, numerators are 14,5867

Denominators are 769,9212

The GCF of 14,5867 is 1 .

LCM of 769,9212 is 7084028.

The greatest common factor of 14/769,5867/9212 = [GCF of 14,5867]/[LCM of 769,9212]= 1/7084028

Therefore, the GCF of 14/769,5867/9212 is 1/7084028.

Greatest Common Factor of 14,5867

To find the highest common factor of 14,5867, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 5867 are 1, 5867

The HCF of 14,5867 is 1.

Lets's calculate GCF of 14,5867

Greatest Common Factor (GCF) of 14,5867 By Common Division

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

Greatest Common Factor of 14,5867 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 5867

1,5867

Greatest Common Factor

We found the factors 14,5867 . The biggest common factor number is the GCF number.
So the greatest common factor 14,5867 is 1.

Lets's calculate LCM of 769,9212

Lowest Common Multiple of 769,9212 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7084028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7084028

Therefore, the GCF of Fractions 14/769,5867/9212 is 1/7084028

Least Common Multiple of 769,9212 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 769,9212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,9212) = 1

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

GCF(769,9212) x common factors =1 x 1 = 1

LCM(769,9212) = ( 769 × 9212 ) / 1

LCM(769,9212) = 7084028 / 1

LCM(769,9212) = 7084028

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FAQs on GCF of Fractions of 14/769, 5867/9212

1. What is the HCF of 14,5867?

The HCF of 14,5867 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 14/769, 5867/9212?

Answer: GCF of Numerators as per given numbers 14/769, 5867/9212 is

GCF of Numerators i.e. for 14,5867 is 1

LCM of denominators i.e. for 769,9212 is 7084028.

Thus, GCF of Fractions is 1/7084028.Finally, GCF of Fractions for 14/769, 5867/9212 is 1/7084028.