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 958/34, 870/6287

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 958/34, 870/6287 i.e 2/213758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 958/34, 870/6287.

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 958/34,870/6287?

Given fractions are 958/34,870/6287

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 958/34,870/6287, numerators are 958,870

Denominators are 34,6287

The GCF of 958,870 is 2 .

LCM of 34,6287 is 213758.

The greatest common factor of 958/34,870/6287 = [GCF of 958,870]/[LCM of 34,6287]= 2/213758

Therefore, the GCF of 958/34,870/6287 is 2/213758.

Greatest Common Factor of 958,870

To find the highest common factor of 958,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 958 are 1, 2, 479, 958

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 958,870 is 2.

Lets's calculate GCF of 958,870

Greatest Common Factor (GCF) of 958,870 By Common Division

2 958, 870
479, 435

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 958,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,870 By Matching Biggest Common Factor Method

Now, list down the factors of 958

:

1,2,479,958

Now, list down the factors of 870

:

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 958,870 . The biggest common factor number is the GCF number.
So the greatest common factor 958,870 is 2.

Lets's calculate LCM of 34,6287

Lowest Common Multiple of 34,6287 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 213758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/213758

Therefore, the GCF of Fractions 958/34,870/6287 is 2/213758

Least Common Multiple of 34,6287 with GCF Formula

Least Common Multiple of 34,6287 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 34,6287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,6287) = 1

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

GCF(34,6287) x common factors =1 x 1 = 1

LCM(34,6287) = ( 34 × 6287 ) / 1

LCM(34,6287) = 213758 / 1

LCM(34,6287) = 213758


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 958/34, 870/6287

1. What is the HCF of 958,870?

The HCF of 958,870 is 2

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 958/34, 870/6287?

Answer: GCF of Numerators as per given numbers 958/34, 870/6287 is

GCF of Numerators i.e. for 958,870 is 2

LCM of denominators i.e. for 34,6287 is 213758.

Thus, GCF of Fractions is 2/213758.Finally, GCF of Fractions for 958/34, 870/6287 is 2/213758.