How to Find GCF of 9388/509, 4705/7663?

GCF of 9388/509, 4705/7663

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 9388/509, 4705/7663 i.e 1/3900467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9388/509, 4705/7663.

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 9388/509,4705/7663?

Given fractions are 9388/509,4705/7663

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 9388/509,4705/7663, numerators are 9388,4705

Denominators are 509,7663

The GCF of 9388,4705 is 1 .

LCM of 509,7663 is 3900467.

The greatest common factor of 9388/509,4705/7663 = [GCF of 9388,4705]/[LCM of 509,7663]= 1/3900467

Therefore, the GCF of 9388/509,4705/7663 is 1/3900467.

Greatest Common Factor of 9388,4705

To find the highest common factor of 9388,4705, we have to find the factors of both numbers and list the highest common factor.

The factors of 9388 are 1, 2, 4, 2347, 4694, 9388

The factors of 4705 are 1, 5, 941, 4705

The HCF of 9388,4705 is 1.

Lets's calculate GCF of 9388,4705

Greatest Common Factor (GCF) of 9388,4705 By Common Division

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

Greatest Common Factor of 9388,4705 By Matching Biggest Common Factor Method

Now, list down the factors of 9388

1,2,4,2347,4694,9388

Now, list down the factors of 4705

1,5,941,4705

Greatest Common Factor

We found the factors 9388,4705 . The biggest common factor number is the GCF number.
So the greatest common factor 9388,4705 is 1.

Lets's calculate LCM of 509,7663

Lowest Common Multiple of 509,7663 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3900467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3900467

Therefore, the GCF of Fractions 9388/509,4705/7663 is 1/3900467

Least Common Multiple of 509,7663 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 509,7663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,7663) = 1

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

GCF(509,7663) x common factors =1 x 1 = 1

LCM(509,7663) = ( 509 × 7663 ) / 1

LCM(509,7663) = 3900467 / 1

LCM(509,7663) = 3900467

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9388/509, 4705/7663

1. What is the HCF of 9388,4705?

The HCF of 9388,4705 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 9388/509, 4705/7663?

Answer: GCF of Numerators as per given numbers 9388/509, 4705/7663 is

GCF of Numerators i.e. for 9388,4705 is 1

LCM of denominators i.e. for 509,7663 is 3900467.

Thus, GCF of Fractions is 1/3900467.Finally, GCF of Fractions for 9388/509, 4705/7663 is 1/3900467.