How to Find GCF of 947/595, 500/969?

GCF of 947/595, 500/969

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 947/595, 500/969 i.e 1/33915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 947/595, 500/969.

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 947/595,500/969?

Given fractions are 947/595,500/969

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 947/595,500/969, numerators are 947,500

Denominators are 595,969

The GCF of 947,500 is 1 .

LCM of 595,969 is 33915.

The greatest common factor of 947/595,500/969 = [GCF of 947,500]/[LCM of 595,969]= 1/33915

Therefore, the GCF of 947/595,500/969 is 1/33915.

Greatest Common Factor of 947,500

To find the highest common factor of 947,500, we have to find the factors of both numbers and list the highest common factor.

The factors of 947 are 1, 947

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 947,500 is 1.

Lets's calculate GCF of 947,500

Greatest Common Factor (GCF) of 947,500 By Common Division

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

Greatest Common Factor of 947,500 By Matching Biggest Common Factor Method

Now, list down the factors of 947

1,947

Now, list down the factors of 500

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 947,500 . The biggest common factor number is the GCF number.
So the greatest common factor 947,500 is 1.

Lets's calculate LCM of 595,969

Lowest Common Multiple of 595,969 using Common Division

17	595, 969
	35, 57

∴ So the LCM of the given numbers is 17 x 35 x 57 = 33915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33915

Therefore, the GCF of Fractions 947/595,500/969 is 1/33915

Least Common Multiple of 595,969 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 595,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,969) = 17

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

GCF(595,969) x common factors =17 x 1 = 17

LCM(595,969) = ( 595 × 969 ) / 17

LCM(595,969) = 576555 / 17

LCM(595,969) = 33915

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 947/595, 500/969

1. What is the HCF of 947,500?

The HCF of 947,500 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 947/595, 500/969?

Answer: GCF of Numerators as per given numbers 947/595, 500/969 is

GCF of Numerators i.e. for 947,500 is 1

LCM of denominators i.e. for 595,969 is 33915.

Thus, GCF of Fractions is 1/33915.Finally, GCF of Fractions for 947/595, 500/969 is 1/33915.