How to Find GCF of 8357/925, 5117/9084?

GCF of 8357/925, 5117/9084

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 8357/925, 5117/9084 i.e 1/8402700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8357/925, 5117/9084.

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 8357/925,5117/9084?

Given fractions are 8357/925,5117/9084

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 8357/925,5117/9084, numerators are 8357,5117

Denominators are 925,9084

The GCF of 8357,5117 is 1 .

LCM of 925,9084 is 8402700.

The greatest common factor of 8357/925,5117/9084 = [GCF of 8357,5117]/[LCM of 925,9084]= 1/8402700

Therefore, the GCF of 8357/925,5117/9084 is 1/8402700.

Greatest Common Factor of 8357,5117

To find the highest common factor of 8357,5117, we have to find the factors of both numbers and list the highest common factor.

The factors of 8357 are 1, 61, 137, 8357

The factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117

The HCF of 8357,5117 is 1.

Lets's calculate GCF of 8357,5117

Greatest Common Factor (GCF) of 8357,5117 By Common Division

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

Greatest Common Factor of 8357,5117 By Matching Biggest Common Factor Method

Now, list down the factors of 8357

1,61,137,8357

Now, list down the factors of 5117

1,7,17,43,119,301,731,5117

Greatest Common Factor

We found the factors 8357,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 8357,5117 is 1.

Lets's calculate LCM of 925,9084

Lowest Common Multiple of 925,9084 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8402700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8402700

Therefore, the GCF of Fractions 8357/925,5117/9084 is 1/8402700

Least Common Multiple of 925,9084 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 925,9084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,9084) = 1

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

GCF(925,9084) x common factors =1 x 1 = 1

LCM(925,9084) = ( 925 × 9084 ) / 1

LCM(925,9084) = 8402700 / 1

LCM(925,9084) = 8402700

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8357/925, 5117/9084

1. What is the HCF of 8357,5117?

The HCF of 8357,5117 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 8357/925, 5117/9084?

Answer: GCF of Numerators as per given numbers 8357/925, 5117/9084 is

GCF of Numerators i.e. for 8357,5117 is 1

LCM of denominators i.e. for 925,9084 is 8402700.

Thus, GCF of Fractions is 1/8402700.Finally, GCF of Fractions for 8357/925, 5117/9084 is 1/8402700.