How to Find GCF of 959/95, 792/5068?

GCF of 959/95, 792/5068

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 959/95, 792/5068 i.e 1/481460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 959/95, 792/5068.

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 959/95,792/5068?

Given fractions are 959/95,792/5068

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 959/95,792/5068, numerators are 959,792

Denominators are 95,5068

The GCF of 959,792 is 1 .

LCM of 95,5068 is 481460.

The greatest common factor of 959/95,792/5068 = [GCF of 959,792]/[LCM of 95,5068]= 1/481460

Therefore, the GCF of 959/95,792/5068 is 1/481460.

Greatest Common Factor of 959,792

To find the highest common factor of 959,792, we have to find the factors of both numbers and list the highest common factor.

The factors of 959 are 1, 7, 137, 959

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

The HCF of 959,792 is 1.

Lets's calculate GCF of 959,792

Greatest Common Factor (GCF) of 959,792 By Common Division

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

Greatest Common Factor of 959,792 By Matching Biggest Common Factor Method

Now, list down the factors of 959

1,7,137,959

Now, list down the factors of 792

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 959,792 . The biggest common factor number is the GCF number.
So the greatest common factor 959,792 is 1.

Lets's calculate LCM of 95,5068

Lowest Common Multiple of 95,5068 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 481460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481460

Therefore, the GCF of Fractions 959/95,792/5068 is 1/481460

Least Common Multiple of 95,5068 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 95,5068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,5068) = 1

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

GCF(95,5068) x common factors =1 x 1 = 1

LCM(95,5068) = ( 95 × 5068 ) / 1

LCM(95,5068) = 481460 / 1

LCM(95,5068) = 481460

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 959/95, 792/5068

1. What is the HCF of 959,792?

The HCF of 959,792 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 959/95, 792/5068?

Answer: GCF of Numerators as per given numbers 959/95, 792/5068 is

GCF of Numerators i.e. for 959,792 is 1

LCM of denominators i.e. for 95,5068 is 481460.

Thus, GCF of Fractions is 1/481460.Finally, GCF of Fractions for 959/95, 792/5068 is 1/481460.