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 5705/764, 3482/950

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 5705/764, 3482/950 i.e 1/362900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5705/764, 3482/950.

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 5705/764,3482/950?

Given fractions are 5705/764,3482/950

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 5705/764,3482/950, numerators are 5705,3482

Denominators are 764,950

The GCF of 5705,3482 is 1 .

LCM of 764,950 is 362900.

The greatest common factor of 5705/764,3482/950 = [GCF of 5705,3482]/[LCM of 764,950]= 1/362900

Therefore, the GCF of 5705/764,3482/950 is 1/362900.

Greatest Common Factor of 5705,3482

To find the highest common factor of 5705,3482, we have to find the factors of both numbers and list the highest common factor.

The factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705

The factors of 3482 are 1, 2, 1741, 3482

The HCF of 5705,3482 is 1.

Lets's calculate GCF of 5705,3482

Greatest Common Factor (GCF) of 5705,3482 By Common Division

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

Greatest Common Factor of 5705,3482 By Matching Biggest Common Factor Method

Greatest Common Factor of 5705,3482 By Matching Biggest Common Factor Method

Now, list down the factors of 5705

:

1,5,7,35,163,815,1141,5705

Now, list down the factors of 3482

:

1,2,1741,3482

Greatest Common Factor

We found the factors 5705,3482 . The biggest common factor number is the GCF number.
So the greatest common factor 5705,3482 is 1.


Lets's calculate LCM of 764,950

Lowest Common Multiple of 764,950 using Common Division

2 764, 950
382, 475

∴ So the LCM of the given numbers is 2 x 382 x 475 = 362900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362900

Therefore, the GCF of Fractions 5705/764,3482/950 is 1/362900

Least Common Multiple of 764,950 with GCF Formula

Least Common Multiple of 764,950 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 764,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,950) = 2

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

GCF(764,950) x common factors =2 x 1 = 2

LCM(764,950) = ( 764 × 950 ) / 2

LCM(764,950) = 725800 / 2

LCM(764,950) = 362900


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5705/764, 3482/950

1. What is the HCF of 5705,3482?

The HCF of 5705,3482 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 5705/764, 3482/950?

Answer: GCF of Numerators as per given numbers 5705/764, 3482/950 is

GCF of Numerators i.e. for 5705,3482 is 1

LCM of denominators i.e. for 764,950 is 362900.

Thus, GCF of Fractions is 1/362900.Finally, GCF of Fractions for 5705/764, 3482/950 is 1/362900.