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 764/46, 883/949

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 764/46, 883/949 i.e 1/43654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 764/46, 883/949.

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 764/46,883/949?

Given fractions are 764/46,883/949

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 764/46,883/949, numerators are 764,883

Denominators are 46,949

The GCF of 764,883 is 1 .

LCM of 46,949 is 43654.

The greatest common factor of 764/46,883/949 = [GCF of 764,883]/[LCM of 46,949]= 1/43654

Therefore, the GCF of 764/46,883/949 is 1/43654.

Greatest Common Factor of 764,883

To find the highest common factor of 764,883, we have to find the factors of both numbers and list the highest common factor.

The factors of 764 are 1, 2, 4, 191, 382, 764

The factors of 883 are 1, 883

The HCF of 764,883 is 1.

Lets's calculate GCF of 764,883

Greatest Common Factor (GCF) of 764,883 By Common Division

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

Greatest Common Factor of 764,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,883 By Matching Biggest Common Factor Method

Now, list down the factors of 764

:

1,2,4,191,382,764

Now, list down the factors of 883

:

1,883

Greatest Common Factor

We found the factors 764,883 . The biggest common factor number is the GCF number.
So the greatest common factor 764,883 is 1.

Lets's calculate LCM of 46,949

Lowest Common Multiple of 46,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 43654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43654

Therefore, the GCF of Fractions 764/46,883/949 is 1/43654

Least Common Multiple of 46,949 with GCF Formula

Least Common Multiple of 46,949 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 46,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,949) = 1

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

GCF(46,949) x common factors =1 x 1 = 1

LCM(46,949) = ( 46 × 949 ) / 1

LCM(46,949) = 43654 / 1

LCM(46,949) = 43654


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 764/46, 883/949

1. What is the HCF of 764,883?

The HCF of 764,883 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 764/46, 883/949?

Answer: GCF of Numerators as per given numbers 764/46, 883/949 is

GCF of Numerators i.e. for 764,883 is 1

LCM of denominators i.e. for 46,949 is 43654.

Thus, GCF of Fractions is 1/43654.Finally, GCF of Fractions for 764/46, 883/949 is 1/43654.