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 295/82, 470/463

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 295/82, 470/463 i.e 5/37966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 295/82, 470/463.

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 295/82,470/463?

Given fractions are 295/82,470/463

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 295/82,470/463, numerators are 295,470

Denominators are 82,463

The GCF of 295,470 is 5 .

LCM of 82,463 is 37966.

The greatest common factor of 295/82,470/463 = [GCF of 295,470]/[LCM of 82,463]= 5/37966

Therefore, the GCF of 295/82,470/463 is 5/37966.

Greatest Common Factor of 295,470

To find the highest common factor of 295,470, we have to find the factors of both numbers and list the highest common factor.

The factors of 295 are 1, 5, 59, 295

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 295,470 is 5.

Lets's calculate GCF of 295,470

Greatest Common Factor (GCF) of 295,470 By Common Division

5 295, 470
59, 94

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 295,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,470 By Matching Biggest Common Factor Method

Now, list down the factors of 295

:

1,5,59,295

Now, list down the factors of 470

:

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 295,470 . The biggest common factor number is the GCF number.
So the greatest common factor 295,470 is 5.

Lets's calculate LCM of 82,463

Lowest Common Multiple of 82,463 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 37966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/37966

Therefore, the GCF of Fractions 295/82,470/463 is 5/37966

Least Common Multiple of 82,463 with GCF Formula

Least Common Multiple of 82,463 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 82,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,463) = 1

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

GCF(82,463) x common factors =1 x 1 = 1

LCM(82,463) = ( 82 × 463 ) / 1

LCM(82,463) = 37966 / 1

LCM(82,463) = 37966


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 295/82, 470/463

1. What is the HCF of 295,470?

The HCF of 295,470 is 5

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 295/82, 470/463?

Answer: GCF of Numerators as per given numbers 295/82, 470/463 is

GCF of Numerators i.e. for 295,470 is 5

LCM of denominators i.e. for 82,463 is 37966.

Thus, GCF of Fractions is 5/37966.Finally, GCF of Fractions for 295/82, 470/463 is 5/37966.