How to Find GCF of 9637/781, 9506/4090?

GCF of 9637/781, 9506/4090

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 9637/781, 9506/4090 i.e 1/3194290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9637/781, 9506/4090.

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 9637/781,9506/4090?

Given fractions are 9637/781,9506/4090

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 9637/781,9506/4090, numerators are 9637,9506

Denominators are 781,4090

The GCF of 9637,9506 is 1 .

LCM of 781,4090 is 3194290.

The greatest common factor of 9637/781,9506/4090 = [GCF of 9637,9506]/[LCM of 781,4090]= 1/3194290

Therefore, the GCF of 9637/781,9506/4090 is 1/3194290.

Greatest Common Factor of 9637,9506

To find the highest common factor of 9637,9506, we have to find the factors of both numbers and list the highest common factor.

The factors of 9637 are 1, 23, 419, 9637

The factors of 9506 are 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506

The HCF of 9637,9506 is 1.

Lets's calculate GCF of 9637,9506

Greatest Common Factor (GCF) of 9637,9506 By Common Division

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

Greatest Common Factor of 9637,9506 By Matching Biggest Common Factor Method

Now, list down the factors of 9637

1,23,419,9637

Now, list down the factors of 9506

1,2,7,14,49,97,98,194,679,1358,4753,9506

Greatest Common Factor

We found the factors 9637,9506 . The biggest common factor number is the GCF number.
So the greatest common factor 9637,9506 is 1.

Lets's calculate LCM of 781,4090

Lowest Common Multiple of 781,4090 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3194290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3194290

Therefore, the GCF of Fractions 9637/781,9506/4090 is 1/3194290

Least Common Multiple of 781,4090 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 781,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,4090) = 1

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

GCF(781,4090) x common factors =1 x 1 = 1

LCM(781,4090) = ( 781 × 4090 ) / 1

LCM(781,4090) = 3194290 / 1

LCM(781,4090) = 3194290

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9637/781, 9506/4090

1. What is the HCF of 9637,9506?

The HCF of 9637,9506 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 9637/781, 9506/4090?

Answer: GCF of Numerators as per given numbers 9637/781, 9506/4090 is

GCF of Numerators i.e. for 9637,9506 is 1

LCM of denominators i.e. for 781,4090 is 3194290.

Thus, GCF of Fractions is 1/3194290.Finally, GCF of Fractions for 9637/781, 9506/4090 is 1/3194290.