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 950/71, 885/466

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 950/71, 885/466 i.e 5/33086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/71, 885/466.

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 950/71,885/466?

Given fractions are 950/71,885/466

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 950/71,885/466, numerators are 950,885

Denominators are 71,466

The GCF of 950,885 is 5 .

LCM of 71,466 is 33086.

The greatest common factor of 950/71,885/466 = [GCF of 950,885]/[LCM of 71,466]= 5/33086

Therefore, the GCF of 950/71,885/466 is 5/33086.

Greatest Common Factor of 950,885

To find the highest common factor of 950,885, we have to find the factors of both numbers and list the highest common factor.

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The HCF of 950,885 is 5.

Lets's calculate GCF of 950,885

Greatest Common Factor (GCF) of 950,885 By Common Division

5 950, 885
190, 177

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

Greatest Common Factor of 950,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,885 By Matching Biggest Common Factor Method

Now, list down the factors of 950

:

1,2,5,10,19,25,38,50,95,190,475,950

Now, list down the factors of 885

:

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 950,885 . The biggest common factor number is the GCF number.
So the greatest common factor 950,885 is 5.

Lets's calculate LCM of 71,466

Lowest Common Multiple of 71,466 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 33086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/33086

Therefore, the GCF of Fractions 950/71,885/466 is 5/33086

Least Common Multiple of 71,466 with GCF Formula

Least Common Multiple of 71,466 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 71,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,466) = 1

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

GCF(71,466) x common factors =1 x 1 = 1

LCM(71,466) = ( 71 × 466 ) / 1

LCM(71,466) = 33086 / 1

LCM(71,466) = 33086


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 950/71, 885/466

1. What is the HCF of 950,885?

The HCF of 950,885 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 950/71, 885/466?

Answer: GCF of Numerators as per given numbers 950/71, 885/466 is

GCF of Numerators i.e. for 950,885 is 5

LCM of denominators i.e. for 71,466 is 33086.

Thus, GCF of Fractions is 5/33086.Finally, GCF of Fractions for 950/71, 885/466 is 5/33086.