LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 763/499, 8435/183

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 763/499, 8435/183 i.e 7/91317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 763/499, 8435/183.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 763/499,8435/183?

Given fractions are 763/499,8435/183

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 763/499,8435/183, numerators are 763,8435

Denominators are 499,183

The GCF of 763,8435 is 7 .

LCM of 499,183 is 91317.

The greatest common factor of 763/499,8435/183 = [GCF of 763,8435]/[LCM of 499,183]= 7/91317

Therefore, the GCF of 763/499,8435/183 is 7/91317.

Greatest Common Factor of 763,8435

To find the highest common factor of 763,8435, we have to find the factors of both numbers and list the highest common factor.

The factors of 763 are 1, 7, 109, 763

The factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435

The HCF of 763,8435 is 7.

Lets's calculate GCF of 763,8435

Greatest Common Factor (GCF) of 763,8435 By Common Division

7 763, 8435
109, 1205

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 763,8435 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,8435 By Matching Biggest Common Factor Method

Now, list down the factors of 763

:

1,7,109,763

Now, list down the factors of 8435

:

1,5,7,35,241,1205,1687,8435

Greatest Common Factor

We found the factors 763,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 763,8435 is 7.

Lets's calculate LCM of 499,183

Lowest Common Multiple of 499,183 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 91317

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/91317

Therefore, the GCF of Fractions 763/499,8435/183 is 7/91317

Least Common Multiple of 499,183 with GCF Formula

Least Common Multiple of 499,183 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 499,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,183) = 1

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

GCF(499,183) x common factors =1 x 1 = 1

LCM(499,183) = ( 499 × 183 ) / 1

LCM(499,183) = 91317 / 1

LCM(499,183) = 91317


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 763/499, 8435/183

1. What is the HCF of 763,8435?

The HCF of 763,8435 is 7

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 763/499, 8435/183?

Answer: GCF of Numerators as per given numbers 763/499, 8435/183 is

GCF of Numerators i.e. for 763,8435 is 7

LCM of denominators i.e. for 499,183 is 91317.

Thus, GCF of Fractions is 7/91317.Finally, GCF of Fractions for 763/499, 8435/183 is 7/91317.